Nektar++

• Book  |  Algorithms and Theory  |  Applications  |  Theses

Book

2005

• G. Karniadakis and S. Sherwin, Spectral/hp element methods for computational fluid dynamics, 2nd edition ed., Oxford university press, 2005.
  [Bibtex]

  @Book{ ka.sh:05,
  author  = {Karniadakis, G and Sherwin, S},
  title = {Spectral/hp element methods for computational fluid
  dynamics},
  publisher  = {Oxford University Press},
  year = {2005},
  edition  = {2nd edition},
  groups  = {book}
  }

1999

• G. Karniadakis and S. Sherwin, Spectral/hp element methods for computational fluid dynamics, 1st edition ed., Oxford university press, 1999.
  [Bibtex]

  @Book{ ka.sh:99,
  author  = {Karniadakis, G and Sherwin, S},
  title = {Spectral/hp element methods for computational fluid
  dynamics},
  publisher  = {Oxford University Press},
  year = {1999},
  edition  = {1st edition},
  groups  = {book}
  }

Algorithms and Theory

2018

• G. Mengaldo, D. De Grazia, R. C. Moura, and S. J. Sherwin, “Spatial eigensolution analysis of energy-stable flux reconstruction schemes and influence of the numerical flux on accuracy and robustness,” Journal of computational physics, 2018.
  [Bibtex]

  @Article{ me.de-gr.mo.ea:18,
  title = {Spatial eigensolution analysis of energy-stable flux
  reconstruction schemes and influence of the numerical flux
  on accuracy and robustness},
  author  = {Mengaldo, Gianmarco and De Grazia, Daniele and Moura,
  Rodrigo C and Sherwin, Spencer J},
  journal  = {Journal of Computational Physics},
  year = {2018},
  publisher  = {Elsevier},
  groups  = {core}
  }

• J. Yu, C. Yan, and Z. Jiang, “Revisit of dilation-based shock capturing for discontinuous galerkin methods,” Applied mathematics and mechanics, vol. 39, iss. 3, p. 379–394, 2018.
  [Bibtex]

  @Article{ yu.ya.ji:18,
  title = {Revisit of dilation-based shock capturing for
  discontinuous Galerkin methods},
  author  = {Yu, Jian and Yan, Chao and Jiang, Zhenhua},
  journal  = {Applied Mathematics and Mechanics},
  volume  = {39},
  number  = {3},
  pages = {379--394},
  year = {2018},
  publisher  = {Springer},
  groups  = {core}
  }

2017

• J. Darlington, A. Field, and L. Hakim, “Tackling complexity in high performance computing applications,” International journal of parallel programming, vol. 45, iss. 2, p. 402–420, 2017.
  [Bibtex]

  @Article{ da.fi.ha:17,
  title = {Tackling Complexity in High Performance Computing
  Applications},
  author  = {Darlington, John and Field, AJ and Hakim, Layal},
  journal  = {International Journal of Parallel Programming},
  volume  = {45},
  number  = {2},
  pages = {402--420},
  year = {2017},
  publisher  = {Springer},
  groups  = {core}
  }

• M. Hess and G. Rozza, “A spectral element reduced basis method in parametric cfd,” Arxiv preprint arxiv:1712.06432, 2017.
  [Bibtex]

  @Article{ he.ro:17,
  title = {A Spectral Element Reduced Basis Method in Parametric
  CFD},
  author  = {Hess, Martin and Rozza, Gianluigi},
  journal  = {arXiv preprint arXiv:1712.06432},
  year = {2017},
  groups  = {core}
  }

• G. Mengaldo, R. Moura, B. Giralda, J. Peiró, and S. Sherwin, “Spatial eigensolution analysis of discontinuous galerkin schemes with practical insights for under-resolved computations and implicit les,” Computers & fluids, 2017.
  [Bibtex]

  @Article{ me.mo.gi.ea:17,
  title = {Spatial eigensolution analysis of discontinuous Galerkin
  schemes with practical insights for under-resolved
  computations and implicit LES},
  author  = {Mengaldo, Gianmarco and Moura, RC and Giralda, B and
  Peir{\'o}, J and Sherwin, SJ},
  journal  = {Computers \& Fluids},
  year = {2017},
  publisher  = {Elsevier},
  groups  = {core}
  }

• D. Moxey, C. Cantwell, G. Mengaldo, D. Serson, D. Ekelschot, J. Peiró, S. Sherwin, and R. Kirby, “Towards p-adaptive spectral/hp element methods for modelling industrial flows,” in Spectral and high order methods for partial differential equations icosahom 2016, Springer, 2017, p. 63–79.
  [Bibtex]

  @InCollection{ mo.ca.me.ea:17,
  title = {Towards p-adaptive spectral/hp element methods for
  modelling industrial flows},
  author  = {Moxey, D and Cantwell, CD and Mengaldo, G and Serson, D
  and Ekelschot, D and Peir{\'o}, J and Sherwin, SJ and
  Kirby, RM},
  booktitle  = {Spectral and High Order Methods for Partial Differential
  Equations ICOSAHOM 2016},
  pages = {63--79},
  year = {2017},
  publisher  = {Springer},
  groups  = {core}
  }

• R. Moura, G. Mengaldo, J. Peiró, and S. Sherwin, “On the eddy-resolving capability of high-order discontinuous galerkin approaches to implicit les/under-resolved dns of euler turbulence,” Journal of computational physics, vol. 330, p. 615–623, 2017.
  [Bibtex]

  @Article{ mo.me.pe.ea:17,
  title = {On the eddy-resolving capability of high-order
  discontinuous Galerkin approaches to implicit
  LES/under-resolved DNS of Euler turbulence},
  author  = {Moura, RC and Mengaldo, Gianmarco and Peir{\'o}, Joaquim
  and Sherwin, SJ},
  journal  = {Journal of Computational Physics},
  volume  = {330},
  pages = {615--623},
  year = {2017},
  publisher  = {Elsevier},
  groups  = {core}
  }

• R. C. Moura, G. Mengaldo, J. Peiró, and S. J. Sherwin, “An les setting for dg-based implicit les with insights on dissipation and robustness,” in Spectral and high order methods for partial differential equations icosahom 2016, Springer, 2017, p. 161–173.
  [Bibtex]

  @InCollection{ mo.me.pe.ea:17*1,
  title = {An LES setting for DG-based implicit LES with insights on
  dissipation and robustness},
  author  = {Moura, Rodrigo C and Mengaldo, Gianmarco and Peir{\'o},
  Joaquim and Sherwin, Spencer J},
  booktitle  = {Spectral and High Order Methods for Partial Differential
  Equations ICOSAHOM 2016},
  pages = {161--173},
  year = {2017},
  publisher  = {Springer},
  groups  = {core}
  }

• A. R. Winters, R. C. Moura, G. Mengaldo, G. J. Gassner, S. Walch, J. Peiro, and S. J. Sherwin, “A comparative study on polynomial dealiasing and split form discontinuous galerkin schemes for under-resolved turbulence computations,” Arxiv preprint arxiv:1711.10180, 2017.
  [Bibtex]

  @Article{ wi.mo.me.ea:17,
  title = {A comparative study on polynomial dealiasing and split
  form discontinuous Galerkin schemes for under-resolved
  turbulence computations},
  author  = {Winters, Andrew R and Moura, Rodrigo C and Mengaldo,
  Gianmarco and Gassner, Gregor J and Walch, Stefanie and
  Peiro, Joaquim and Sherwin, Spencer J},
  journal  = {arXiv preprint arXiv:1711.10180},
  year = {2017},
  groups  = {core}
  }

• J. Yu, C. Yan, and Z. Jiang, “Suitability of artificial viscosity discontinuous galerkin method for compressible turbulence,” Science china technological sciences, vol. 60, iss. 7, p. 1032–1049, 2017.
  [Bibtex]

  @Article{ yu.ya.ji:17,
  title = {Suitability of artificial viscosity discontinuous Galerkin
  method for compressible turbulence},
  author  = {Yu, Jian and Yan, Chao and Jiang, ZhenHua},
  journal  = {Science China Technological Sciences},
  volume  = {60},
  number  = {7},
  pages = {1032--1049},
  year = {2017},
  publisher  = {Springer},
  groups  = {core}
  }

2016

• Y. Bao, R. Palacios, J. Graham, and S. Sherwin, “Generalized thick strip modelling for vortex-induced vibration of long flexible cylinders,” Journal of computational physics, 2016.
  [Bibtex]

  @Article{ ba.pa.gr.ea:16,
  author  = {Bao, Y and Palacios, R and Graham, JMR and Sherwin, SJ},
  journal  = {Journal of Computational Physics},
  title = {Generalized thick strip modelling for vortex-induced
  vibration of long flexible cylinders},
  url = {http://hdl.handle.net/10044/1/33432},
  year = {2016},
  groups  = {core}
  }

• A. Bolis, C. Cantwell, D. Moxey, D. Serson, and S. Sherwin, “An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent flows using a fourier spectral/hp element method and mpi virtual topologies,” Computer physics communications, 2016.
  [Bibtex]

  @Article{ bo.ca.mo.ea:16,
  author  = {Bolis, A and Cantwell, CD and Moxey, D and Serson, D and
  Sherwin, SJ},
  journal  = {Computer Physics Communications},
  month = {Apr},
  title = {An adaptable parallel algorithm for the direct numerical
  simulation of incompressible turbulent flows using a
  Fourier spectral/hp element method and MPI virtual
  topologies},
  year = {2016},
  doi = {10.1016/j.cpc.2016.04.011},
  issn = {0010-4655},
  publicationstatus={published},
  groups  = {core}
  }

• G. Mengaldo, D. de Grazia, P. E. Vincent, and S. J. Sherwin, “On the connections between discontinuous galerkin and flux reconstruction schemes: extension to curvilinear meshes,” Journal of scientific computing, vol. 67, pp. 1272-1292, 2016.
  [Bibtex]

  @Article{ me.gr.vi.ea:16,
  author  = {Mengaldo, G. and de Grazia, D. and Vincent, P. E. and
  Sherwin, S. J.},
  journal  = {Journal of Scientific Computing},
  month = {Oct},
  title = {On the Connections Between Discontinuous Galerkin and Flux
  Reconstruction Schemes: Extension to Curvilinear Meshes},
  year = {2016},
  pages = "1272-1292",
  volume  = {67},
  abstract  = {This paper investigates the connections between many
  popular variants of the well-established discontinuous
  Galerkin method and the recently developed high-order flux
  reconstruction approach on irregular tensor-product grids.
  We explore these connections by analysing three nodal
  versions of tensor-product discontinuous Galerkin spectral
  element approximations and three types of flux
  reconstruction schemes for solving systems of conservation
  laws on irregular tensor-product meshes. We demonstrate
  that the existing connections established on regular grids
  are also valid on deformed and curved meshes for both
  linear and nonlinear problems, provided that the metric
  terms are accounted for appropriately. We also find that
  the aliasing issues arising from nonlinearities either due
  to a deformed/curved elements or due to the nonlinearity of
  the equations are equivalent and can be addressed using the
  same strategies both in the discontinuous Galerkin method
  and in the flux reconstruction approach. In particular, we
  show that the discontinuous Galerkin and the flux
  reconstruction approach are equivalent also when using
  higher-order quadrature rules that are commonly employed in
  the context of over- or consistent-integration-based
  dealiasing methods. The connections found in this work help
  to complete the picture regarding the relations between
  these two numerical approaches and show the possibility of
  using over- or consistent-integration in an equivalent
  manner for both the approaches.},
  doi = {10.1007/s10915-015-0119-z},
  issn = {0885-7474},
  day = {19},
  publicationstatus={accepted},
  groups  = {core}
  }

• R. C. Moura, S. J. Sherwin, and J. Peiró, “Eigensolution analysis of spectral/hp continuous galerkin approximations to advection-diffusion problems: insights into spectral vanishing viscosity,” Journal of computational physics, vol. 307, p. 401–422, 2016.
  [Bibtex]

  @Article{ mo.sh.pe:16,
  author  = {Moura, R. C. and Sherwin, S. J. and Peiró, J},
  journal  = {Journal of Computational Physics},
  month = {Feb},
  pages = {401--422},
  title = {Eigensolution analysis of spectral/hp continuous Galerkin
  approximations to advection-diffusion problems: Insights
  into spectral vanishing viscosity},
  volume  = {307},
  year = {2016},
  abstract  = {© 2015 The Authors. This study addresses linear
  dispersion-diffusion analysis for the spectral/hp
  continuous Galerkin (CG) formulation in one dimension.
  First, numerical dispersion and diffusion curves are
  obtained for the advection-diffusion problem and the role
  of multiple eigencurves peculiar to spectral/hp methods is
  discussed. From the eigencurves' behaviour, we observe that
  CG might feature potentially undesirable non-smooth
  dispersion/diffusion characteristics for under-resolved
  simulations of problems strongly dominated by either
  convection or diffusion. Subsequently, the linear advection
  equation augmented with spectral vanishing viscosity (SVV)
  is analysed. Dispersion and diffusion characteristics of CG
  with SVV-based stabilization are verified to display
  similar non-smooth features in flow regions where
  convection is much stronger than dissipation or vice-versa,
  owing to a dependency of the standard SVV operator on a
  local Péclet number. First a modification is
  proposed to the traditional SVV scaling that enforces a
  globally constant Péclet number so as to avoid the
  previous issues. In addition, a new SVV kernel function is
  suggested and shown to provide a more regular behaviour for
  the eigencurves along with a consistent increase in
  resolution power for higher-order discretizations, as
  measured by the extent of the wavenumber range where
  numerical errors are negligible. The dissipation
  characteristics of CG with the SVV modifications suggested
  are then verified to be broadly equivalent to those
  obtained through upwinding in the discontinuous Galerkin
  (DG) scheme. Nevertheless, for the kernel function
  proposed, the full upwind DG scheme is found to have a
  slightly higher resolution power for the same dissipation
  levels. These results show that improved CG-SVV
  characteristics can be pursued via different kernel
  functions with the aid of optimization algorithms.},
  doi = {10.1016/j.jcp.2015.12.009},
  issn = {0021-9991},
  eissn = {1090-2716},
  day = {15},
  publicationstatus={accepted},
  groups  = {core}
  }

• J. Peiro, D. Moxey, Sherwin, and Ekelschot, “A p-adaptation method for compressible flow problems using a goal-based error indicator,” Computers and structures, 2016.
  [Bibtex]

  @Article{ pe.mo.sh.ea:16,
  author  = {Peiro, J and Moxey, D and Sherwin and Ekelschot},
  journal  = {Computers and Structures},
  title = {A p-adaptation method for compressible flow problems using
  a goal-based error indicator},
  year = {2016},
  url = {http://hdl.handle.net/10044/1/30414},
  groups  = {core}
  }

• D. Serson, J. Meneghini, and S. Sherwin, “Velocity-correction schemes for the incompressible navier-stokes equations in general coordinate systems,” Journal of computational physics, vol. 316, p. 243–254, 2016.
  [Bibtex]

  @Article{ se.me.sh:16,
  author  = {Serson, D and Meneghini, JR and Sherwin, SJ},
  journal  = {Journal of Computational Physics},
  month = {Jul},
  pages = {243--254},
  title = {Velocity-correction schemes for the incompressible
  Navier-Stokes equations in general coordinate systems},
  volume  = {316},
  year = {2016},
  abstract  = {© 2016 The Authors. This paper presents methods of
  including coordinate transformations into the solution of
  the incompressible Navier-Stokes equations using the
  velocity-correction scheme, which is commonly used in the
  numerical solution of unsteady incompressible flows. This
  is important when the transformation leads to symmetries
  that allow the use of more efficient numerical techniques,
  like employing a Fourier expansion to discretize a
  homogeneous direction. Two different approaches are
  presented: in the first approach all the influence of the
  mapping is treated explicitly, while in the second the
  mapping terms related to convection are treated explicitly,
  with the pressure and viscous terms treated implicitly.
  Through numerical results, we demonstrate how these methods
  maintain the accuracy of the underlying high-order method,
  and further apply the discretisation strategy to problems
  where mixed Fourier-spectral/hp element discretisations can
  be applied, thereby extending the usefulness of this
  discretisation technique.},
  doi = {10.1016/j.jcp.2016.04.026},
  issn = {0021-9991},
  eissn = {1090-2716},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

• S. Yakovlev, D. Moxey, R. M. Kirby, and S. J. Sherwin, “To cg or to hdg: a comparative study in 3d,” Journal of scientific computing, vol. 67, pp. 192-220, 2016.
  [Bibtex]

  @Article{ ya.mo.ki.ea:16,
  author  = {Yakovlev, S. and Moxey, D. and Kirby, R. M. and Sherwin,
  S. J.},
  journal  = {Journal of Scientific Computing},
  month = {Jul},
  title = {To CG or to HDG: A Comparative Study in 3D},
  pages = "192-220",
  volume  = {67},
  year = {2016},
  abstract  = {Since the inception of discontinuous Galerkin (DG) methods
  for elliptic problems, there has existed a question of
  whether DG methods can be made more computationally
  efficient than continuous Galerkin (CG) methods. Fewer
  degrees of freedom, approximation properties for elliptic
  problems together with the number of optimization
  techniques, such as static condensation, available within
  CG framework made it challenging for DG methods to be
  competitive until recently. However, with the introduction
  of a static-condensation-amenable DG
  method the hybridizable discontinuous
  Galerkin (HDG) method it has become
  possible to perform a realistic comparison of CG and HDG
  methods when applied to elliptic problems. In this work, we
  extend upon an earlier 2D comparative study, providing
  numerical results and discussion of the CG and HDG method
  performance in three dimensions. The comparison categories
  covered include steady-state elliptic and time-dependent
  parabolic problems, various element types and serial and
  parallel performance. The postprocessing technique, which
  allows for superconvergence in the HDG case, is also
  discussed. Depending on the direct linear system solver
  used and the type of the problem (steady-state vs.
  time-dependent) in question the HDG method either
  outperforms or demonstrates a comparable performance when
  compared with the CG method. The HDG method however falls
  behind performance-wise when the iterative solver is used,
  which indicates the need for an effective preconditioning
  strategy for the method.},
  doi = {10.1007/s10915-015-0076-6},
  issn = {0885-7474},
  day = {28},
  publicationstatus={accepted},
  groups  = {core}
  }

2015

• C. D. Cantwell, D. Moxey, A. Comerford, A. Bolis, G. Rocco, G. Mengaldo, D. De Grazia, S. Yakovlev, J-E. Lombard, D. Ekelschot, B. Jordi, H. Xu, Y. Mohamied, C. Eskilsson, B. Nelson, P. Vos, C. Biotto, R. M. Kirby, and S. J. Sherwin, “Nektar plus plus : an open-source spectral/hp element framework,” Computer physics communications, vol. 192, p. 205–219, 2015.
  [Bibtex]

  @Article{ ca.mo.co.ea:15,
  author  = {Cantwell, C. D. and Moxey, D. and Comerford, A. and Bolis,
  A. and Rocco, G. and Mengaldo, G. and De Grazia, D. and
  Yakovlev, S. and Lombard, J-E. and Ekelschot, D. and Jordi,
  B. and Xu, H. and Mohamied, Y. and Eskilsson, C. and
  Nelson, B. and Vos, P. and Biotto, C. and Kirby, R. M. and
  Sherwin, S. J.},
  journal  = {COMPUTER PHYSICS COMMUNICATIONS},
  month = {Jul},
  pages = {205--219},
  publisher  = {ELSEVIER SCIENCE BV},
  title = {Nektar plus plus : An open-source spectral/hp element
  framework},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000354141100020\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {192},
  year = {2015},
  doi = {10.1016/j.cpc.2015.02.008},
  issn = {0010-4655},
  keyword  = {SYSTEM},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

• G. Mengaldo, G. D. De, D. Moxey, P. Vincent, and S. Sherwin, “Dealiasing techniques for high-order spectral element methods on regular and irregular grids,” Journal of computational physics, vol. 299, p. 56–81, 2015.
  [Bibtex]

  @Article{ me.de.mo.ea:15,
  author  = {Mengaldo, G and De, Grazia D and Moxey, D and Vincent, PE
  and Sherwin, SJ},
  doi = {10.1016/j.jcp.2015.06.032},
  journal  = {JOURNAL OF COMPUTATIONAL PHYSICS},
  pages = {56--81},
  title = {Dealiasing techniques for high-order spectral element
  methods on regular and irregular grids},
  url = {http://dx.doi.org/10.1016/j.jcp.2015.06.032},
  volume  = {299},
  year = {2015},
  groups  = {core}
  }

• D. Moxey, M. D. Green, S. J. Sherwin, and J. Peiro, “An isoparametric approach to high-order curvilinear boundary-layer meshing,” Computer methods in applied mechanics and engineering, vol. 283, p. 636–650, 2015.
  [Bibtex]

  @Article{ mo.gr.sh.ea:15,
  author  = {Moxey, D. and Green, M. D. and Sherwin, S. J. and Peiro,
  J.},
  journal  = {COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING},
  month = {Jan},
  pages = {636--650},
  publisher  = {ELSEVIER SCIENCE SA},
  title = {An isoparametric approach to high-order curvilinear
  boundary-layer meshing},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000345858700026\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {283},
  year = {2015},
  doi = {10.1016/j.cma.2014.09.019},
  issn = {0045-7825},
  keyword  = {GRIDS},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

• D. Moxey, M. Hazan, S. J. Sherwin, and J. Peiro, “Curvilinear mesh generation for boundary layer problems,” Notes on numerical fluid mechanics and multidisciplinary design, vol. 128, p. 41–64, 2015.
  [Bibtex]

  @Article{ mo.ha.sh.ea:15,
  author  = {Moxey, D. and Hazan, M. and Sherwin, S. J. and Peiro, J.},
  journal  = {Notes on Numerical Fluid Mechanics and Multidisciplinary
  Design},
  month = {Jan},
  pages = {41--64},
  title = {Curvilinear mesh generation for boundary layer problems},
  volume  = {128},
  year = {2015},
  abstract  = {In this article, we give an overview of a new technique
  for unstructured curvilinear boundary layer grid
  generation, which uses the isoparametric mappings that
  define elements in an existing coarse prismatic grid to
  produce a refined mesh capable of resolving arbitrarily
  thin boundary layers. We demonstrate that the technique
  always produces valid grids given an initially valid coarse
  mesh, and additionally show how this can be extended to
  convert hybrid meshes to meshes containing only simplicial
  elements.},
  doi = {10.1007/978-3-319-12886-3_3},
  issn = {1612-2909},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

• J. Peiro, D. Moxey, M. Hazan, and S. J. Sherwin, “On the generation of curvilinear meshes through subdivision of isoparametric elements,” in New challenges in grid generation and adaptivity for scientific computing, S. Perotto and L. Formaggia, Eds., Springer, 2015.
  [Bibtex]

  @InCollection{ pe.mo.ha.ea:15,
  author  = {Peiro, J. and Moxey, D. and Hazan, M. and Sherwin, S. J.},
  booktitle  = {New Challenges in Grid Generation and Adaptivity for
  Scientific Computing},
  editor  = {Perotto, S. and Formaggia, L.},
  month = {Apr},
  publisher  = {Springer},
  title = {On the generation of curvilinear meshes through
  subdivision of isoparametric elements},
  year = {2015},
  abstract  = {This volume collects selected contributions from the
  “Fourth Tetrahedron Workshop on Grid
  Generation for Numerical Computations”, which
  was held in Verbania, Italy in July 2013.},
  isbn = {9783319060538},
  keyword  = {Mathematics},
  day = {27},
  groups  = {core}
  }

• D. W. Zaide, Q. Lu, and M. S. Shephard, “A comparison of c0 and g1 continuous curved tetrahedral meshes for high-order finite element simulations,” Proc. 24th international meshing roundtable. elsevier, new york, 2015.
  [Bibtex]

  @Article{ za.lu.sh:15,
  title = {A comparison of C0 and G1 continuous curved tetrahedral
  meshes for high-order finite element simulations},
  author  = {Zaide, Daniel W and Lu, Qiukai and Shephard, Mark S},
  journal  = {Proc. 24th International Meshing Roundtable. Elsevier, New
  York},
  year = {2015},
  groups  = {core}
  }

2014

• A. Bolis, C. D. Cantwell, R. M. Kirby, and S. J. Sherwin, “From h to p efficiently: optimal implementation strategies for explicit time-dependent problems using the spectral/hp element method,” International journal for numerical methods in fluids, vol. 75, p. 591–607, 2014.
  [Bibtex]

  @Article{ bo.ca.ki.ea:14,
  author  = {Bolis, A. and Cantwell, C. D. and Kirby, R. M. and
  Sherwin, S. J.},
  journal  = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS},
  month = {Jul},
  pages = {591--607},
  publisher  = {WILEY-BLACKWELL},
  title = {From h to p efficiently: optimal implementation strategies
  for explicit time-dependent problems using the spectral/hp
  element method},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000337585800003\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {75},
  year = {2014},
  doi = {10.1002/fld.3909},
  issn = {0271-2091},
  issue = {8},
  keyword  = {STABILITY},
  language  = {English},
  day = {20},
  publicationstatus={published},
  groups  = {core}
  }

• C. D. Cantwell, S. Yakovlev, R. M. Kirby, N. S. Peters, and S. J. Sherwin, “High-order spectral/hp element discretisation for reaction-diffusion problems on surfaces: application to cardiac electrophysiology,” Journal of computational physics, vol. 257, p. 813–829, 2014.
  [Bibtex]

  @Article{ ca.ya.ki.ea:14,
  author  = {Cantwell, C. D. and Yakovlev, S. and Kirby, R. M. and
  Peters, N. S. and Sherwin, S. J.},
  journal  = {JOURNAL OF COMPUTATIONAL PHYSICS},
  month = {Jan},
  pages = {813--829},
  publisher  = {ACADEMIC PRESS INC ELSEVIER SCIENCE},
  title = {High-order spectral/hp element discretisation for
  reaction-diffusion problems on surfaces: Application to
  cardiac electrophysiology},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000327483200039\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {257},
  year = {2014},
  doi = {10.1016/j.jcp.2013.10.019},
  issn = {0021-9991},
  keyword  = {MESHES},
  language  = {English},
  day = {15},
  publicationstatus={published},
  groups  = {core}
  }

• D. De Grazia, G. Mengaldo, D. Moxey, P. E. Vincent, and S. J. Sherwin, “Connections between the discontinuous galerkin method and high-order flux reconstruction schemes,” International journal for numerical methods in fluids, vol. 75, p. 860–877, 2014.
  [Bibtex]

  @Article{ de-gr.me.mo.ea:14,
  author  = {De Grazia, D. and Mengaldo, G. and Moxey, D. and Vincent,
  P. E. and Sherwin, S. J.},
  journal  = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS},
  month = {Aug},
  pages = {860--877},
  publisher  = {WILEY-BLACKWELL},
  title = {Connections between the discontinuous Galerkin method and
  high-order flux reconstruction schemes},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000339423000003\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {75},
  year = {2014},
  doi = {10.1002/fld.3915},
  issn = {0271-2091},
  issue = {12},
  keyword  = {SPECTRAL DIFFERENCE METHOD},
  language  = {English},
  day = {30},
  publicationstatus={published},
  groups  = {core}
  }

• B. E. Jordi, C. J. Cotter, and S. J. Sherwin, “Encapsulated formulation of the selective frequency damping method,” Physics of fluids, vol. 26, iss. ARTN 034101, 2014.
  [Bibtex]

  @Article{ jo.co.sh:14,
  author  = {Jordi, B. E. and Cotter, C. J. and Sherwin, S. J.},
  journal  = {PHYSICS OF FLUIDS},
  month = {Mar},
  number  = {ARTN 034101},
  publisher  = {AMER INST PHYSICS},
  title = {Encapsulated formulation of the selective frequency
  damping method},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000334179400029\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {26},
  year = {2014},
  doi = {10.1063/1.4867482},
  issn = {1070-6631},
  issue = {3},
  keyword  = {WAKE},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

• G. Mengaldo, D. De Grazia, J. Peiro, A. Farrington, F. Witherden, P. E. Vincent, and S. J. Sherwin, “A guide to the implementation of boundary conditions in compact high-order methods for compressible aerodynamics,” in Aiaa aviation 2014 -7th aiaa theoretical fluid mechanics conference, 2014.
  [Bibtex]

  @InProceedings{ me.de-gr.pe.ea:14,
  author  = {Mengaldo, G. and De Grazia, D. and Peiro, J. and
  Farrington, A. and Witherden, F. and Vincent, P. E. and
  Sherwin, S. J.},
  booktitle  = {AIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics
  Conference},
  month = {Jan},
  title = {A guide to the implementation of boundary conditions in
  compact high-order methods for compressible aerodynamics},
  year = {2014},
  abstract  = {The nature of boundary conditions, and how they are
  implemented, can have a significant impact on the stability
  and accuracy of a Computational Fluid Dynamics (CFD)
  solver. The objective of this paper is to assess how
  different boundary conditions impact the performance of
  compact discontinuous high-order spectral element methods
  (such as the discontinuous Galerkin method and the Flux
  Reconstruction approach), when these schemes are used to
  solve the Euler and compressible Navier-Stokes equations on
  unstructured grids. Specifically, the paper will
  investigate inflow/outflow and wall boundary conditions. In
  all studies the boundary conditions were enforced by
  modifying the boundary flux. For Riemann invariant
  (characteristic), slip and no-slip conditions we have
  considered a direct and an indirect enforcement of the
  boundary conditions, the first obtained by calculating the
  flux using the known solution at the given boundary while
  the second achieved by using a ghost state and by solving a
  Riemann problem. All computations were performed using the
  open-source software Nektar++ (www.nektar.info).},
  isbn = {9781624102936},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

• D. Moxey, D. Ekelschot, U. Keskin, S. J. Sherwin, and J. Peiro, “A thermo-elastic analogy for high-order curvilinear meshing with control of mesh validity and quality,” in 23rd international meshing roundtable (imr23), 2014, p. 127–135.
  [Bibtex]

  @InProceedings{ mo.ek.ke.ea:14,
  author  = {Moxey, D. and Ekelschot, D. and Keskin, U. and Sherwin, S.
  J. and Peiro, J.},
  booktitle  = {23RD INTERNATIONAL MESHING ROUNDTABLE (IMR23)},
  editor  = {Persson, P. O. and Staten, M. L.},
  month = {Jan},
  organization  = {London, ENGLAND},
  pages = {127--135},
  publisher  = {ELSEVIER SCIENCE BV},
  series  = {Procedia Engineering},
  title = {A thermo-elastic analogy for high-order curvilinear
  meshing with control of mesh validity and quality},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000358739700010\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {82},
  year = {2014},
  doi = {10.1016/j.proeng.2014.10.378},
  startyear  = {2014},
  startmonth  = {Oct},
  startday  = {12},
  finishyear  = {2014},
  finishmonth  = {Oct},
  finishday  = {15},
  issn = {1877-7058},
  keyword  = {Engineering},
  language  = {English},
  conference  = {23rd International Meshing Roundtable (IMR)},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

• B. Nelson, R. M. Kirby, and S. Parker, “Optimal expression evaluation through the use of expression templates when evaluating dense linear algebra operations,” Acm transactions on mathematical software, vol. 40, p. 21:1-21:21, 2014.
  [Bibtex]

  @Article{ ne.ki.pa:14,
  author  = "Blake Nelson and Robert M. Kirby and Steven Parker",
  title = "Optimal Expression Evaluation Through the Use of
  Expression Templates When Evaluating Dense Linear Algebra
  Operations",
  journal  = "ACM Transactions on Mathematical Software",
  volume  = "40",
  issue = "3",
  pages = "21:1-21:21",
  year = "2014",
  groups  = {core}
  }

2012

• R. M. Kirby, B. Cockburn, and S. J. Sherwin, “To cg or to hdg: a comparative study,” Journal of scientific computing, vol. 51, pp. 183-212, 2012.
  [Bibtex]

  @Article{ ki.co.sh:12,
  author  = "Robert M. Kirby and Bernardo Cockburn and Spencer J.
  Sherwin",
  title = "To CG or to HDG: A Comparative Study",
  journal  = "Journal of Scientific Computing",
  volume  = "51",
  issue = "1",
  pages = "183-212",
  year = "2012",
  groups  = {core}
  }

• R. M. Kirby, S. J. Sherwin, and B. Cockburn, “To cg or to hdg: a comparative study,” Journal of scientific computing, vol. 51, p. 183–212, 2012.
  [Bibtex]

  @Article{ ki.sh.co:12,
  author  = {Kirby, R. M. and Sherwin, S. J. and Cockburn, B.},
  journal  = {JOURNAL OF SCIENTIFIC COMPUTING},
  month = {Apr},
  pages = {183--212},
  publisher  = {SPRINGER/PLENUM PUBLISHERS},
  title = {To CG or to HDG: A Comparative Study},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000302258600008\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {51},
  year = {2012},
  doi = {10.1007/s10915-011-9501-7},
  issn = {0885-7474},
  issue = {1},
  keyword  = {TRANSITION},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

2011

• C. D. Cantwell, S. J. Sherwin, R. M. Kirby, and P. H. J. Kelly, “From h to p efficiently: selecting the optimal spectral/hp discretisation in three dimensions,” Mathematical modelling of natural phenomena, vol. 6, p. 84–96, 2011.
  [Bibtex]

  @Article{ ca.sh.ki.ea:11,
  author  = {Cantwell, C. D. and Sherwin, S. J. and Kirby, R. M. and
  Kelly, P. H. J.},
  journal  = {MATHEMATICAL MODELLING OF NATURAL PHENOMENA},
  month = {Jan},
  pages = {84--96},
  publisher  = {EDP SCIENCES S A},
  title = {From h to p Efficiently: Selecting the Optimal Spectral/hp
  Discretisation in Three Dimensions},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000292652400005\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {6},
  year = {2011},
  doi = {10.1051/mmnp/20116304},
  issn = {0973-5348},
  issue = {3},
  keyword  = {FLOW},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

• C. D. Cantwell, S. J. Sherwin, R. M. Kirby, and P. H. J. Kelly, “From h to p efficiently: strategy selection for operator evaluation on hexahedral and tetrahedral elements,” Computers & fluids, vol. 43, p. 23–28, 2011.
  [Bibtex]

  @Article{ ca.sh.ki.ea:11*1,
  author  = {Cantwell, C. D. and Sherwin, S. J. and Kirby, R. M. and
  Kelly, P. H. J.},
  journal  = {COMPUTERS \& FLUIDS},
  month = {Apr},
  organization  = {Lausanne, SWITZERLAND},
  pages = {23--28},
  publisher  = {PERGAMON-ELSEVIER SCIENCE LTD},
  title = {From h to p efficiently: Strategy selection for operator
  evaluation on hexahedral and tetrahedral elements},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000289123100004\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {43},
  year = {2011},
  doi = {10.1016/j.compfluid.2010.08.012},
  startyear  = {2010},
  startmonth  = {Feb},
  startday  = {15},
  finishyear  = {2010},
  finishmonth  = {Feb},
  finishday  = {16},
  issn = {0045-7930},
  issue = {1},
  keyword  = {FLOW},
  language  = {English},
  conference  = {Symposium on High Accuracy Flow Simulations},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

• P. E. J. Vos, S. Chun, A. Bolis, C. Eskilsson, R. M. Kirby, and S. J. Sherwin, “A generic framework for time-stepping pdes: general linear methods, object-oriented implementations and applications to fluid problems,” International journal of computational fluid dynamics, vol. 25, pp. 107-125, 2011.
  [Bibtex]

  @Article{ vo.ch.bo.ea:11,
  author  = "Peter E. J. Vos and Sehun Chun and Alessandro Bolis and
  Claes Eskilsson and Robert M. Kirby and Spencer J. Sherwin",
  title = "A Generic Framework for Time-Stepping PDEs: General Linear
  Methods, Object-Oriented Implementations and Applications
  to Fluid Problems",
  journal  = "International Journal of Computational Fluid Dynamics",
  volume  = "25",
  issue = "3",
  pages = "107-125",
  year = "2011",
  groups  = {core}
  }

• P. E. J. Vos, C. Eskilsson, A. Bolis, S. Chun, R. M. Kirby, and S. J. Sherwin, “A generic framework for time-stepping partial differential equations (pdes): general linear methods, object-oriented implementation and application to fluid problems,” International journal of computational fluid dynamics, vol. 25, iss. PII 938278170, p. 107–125, 2011.
  [Bibtex]

  @Article{ vo.es.bo.ea:11,
  author  = {Vos, P. E. J. and Eskilsson, C. and Bolis, A. and Chun, S.
  and Kirby, R. M. and Sherwin, S. J.},
  journal  = {INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS},
  month = {Jan},
  number  = {PII 938278170},
  pages = {107--125},
  publisher  = {TAYLOR \& FRANCIS LTD},
  title = {A generic framework for time-stepping partial differential
  equations (PDEs): general linear methods, object-oriented
  implementation and application to fluid problems},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000291485700001\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {25},
  year = {2011},
  doi = {10.1080/10618562.2011.575368},
  issn = {1061-8562},
  issue = {3},
  keyword  = {DIMSIMS},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

2010

• P. E. J. Vos, S. J. Sherwin, and R. M. Kirby, “From h to p efficiently: implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations,” Journal of computational physics, vol. 229, p. 5161–5181, 2010.
  [Bibtex]

  @Article{ vo.sh.ki:10,
  author  = {Vos, P. E. J. and Sherwin, S. J. and Kirby, R. M.},
  journal  = {JOURNAL OF COMPUTATIONAL PHYSICS},
  month = {Jul},
  pages = {5161--5181},
  publisher  = {ACADEMIC PRESS INC ELSEVIER SCIENCE},
  title = {From h to p efficiently: Implementing finite and
  spectral/hp element methods to achieve optimal performance
  for low- and high-order discretisations},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000278415800016\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {229},
  year = {2010},
  doi = {10.1016/j.jcp.2010.03.031},
  issn = {0021-9991},
  issue = {13},
  keyword  = {STABLE PENALTY METHOD},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {core}
  }

2008

• D. Barkley, H. M. Blackburn, and S. J. Sherwin, “Direct optimal growth analysis for timesteppers,” International journal for numerical methods in fluids, vol. 57, p. 1435–1458, 2008.
  [Bibtex]

  @Article{ ba.bl.sh:08,
  author  = {Barkley, D. and Blackburn, H. M. and Sherwin, S. J.},
  journal  = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS},
  month = {Jul},
  organization  = {Santa Fe, NM},
  pages = {1435--1458},
  publisher  = {JOHN WILEY \& SONS LTD},
  title = {Direct optimal growth analysis for timesteppers},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000258096300020\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {57},
  year = {2008},
  doi = {10.1002/fld.1824},
  startyear  = {2007},
  startmonth  = {Mar},
  startday  = {24},
  finishyear  = {2007},
  finishmonth  = {Mar},
  finishday  = {28},
  issn = {0271-2091},
  issue = {9},
  keyword  = {MODES},
  language  = {English},
  conference  = {14th International Conference on Finite Elements in Flow
  Problems},
  day = {30},
  publicationstatus={published},
  groups  = {core}
  }

2006

• R. M. Kirby and S. J. Sherwin, “Stabilisation of spectral/hp element methods through spectral vanishing viscosity: application to fluid mechanics modelling,” Computer methods in applied mechanics and engineering, vol. 195, pp. 3128-2144, 2006.
  [Bibtex]

  @Article{ ki.sh:06,
  author  = "Robert M. Kirby and Spencer J. Sherwin",
  title = "Stabilisation of spectral/hp element methods through
  spectral vanishing viscosity: Application to fluid
  mechanics modelling",
  journal  = "Computer Methods in Applied Mechanics and Engineering",
  volume  = "195",
  pages = "3128-2144",
  year = "2006",
  groups  = {core}
  }

• R. M. Kirby and S. J. Sherwin, “Aliasing errors due to quadratic non-linearities on triangular spectral/hp element discretisations,” Journal of engineering mathematics, vol. 56, pp. 273-288, 2006.
  [Bibtex]

  @Article{ ki.sh:06*1,
  author  = "Robert M. Kirby and Spencer J. Sherwin",
  title = "Aliasing Errors Due to Quadratic Non-Linearities On
  Triangular Spectral/hp Element Discretisations",
  journal  = "Journal of Engineering Mathematics",
  volume  = " 56",
  pages = "273-288",
  year = "2006",
  groups  = {core}
  }

• S. J. Sherwin, R. M. Kirby, J. Peiro, R. L. Taylor, and O. C. Zienkiewicz, “On 2d elliptic discontinuous galerkin methods,” International journal for numerical methods in engineering, vol. 65, pp. 752-784, 2006.
  [Bibtex]

  @Article{ sh.ki.pe.ea:06,
  author  = "Sherwin, S. J. and Kirby, R. M. and Peiro, J. and Taylor,
  R. L. and Zienkiewicz, O. C.",
  title = "On 2D Elliptic Discontinuous Galerkin Methods",
  journal  = "International Journal for Numerical Methods in
  Engineering",
  volume  = "65",
  issue = "5",
  pages = "752-784",
  year = "2006",
  groups  = {core}
  }

Applications

2018

• W. He, P. Yu, and L. K. Li, “Ground effects on the stability of separated flow around a naca 4415 airfoil at low reynolds numbers,” Aerospace science and technology, vol. 72, p. 63–76, 2018.
  [Bibtex]

  @Article{ he.yu.li:18,
  title = {Ground effects on the stability of separated flow around a
  NACA 4415 airfoil at low Reynolds numbers},
  author  = {He, Wei and Yu, Peng and Li, Larry KB},
  journal  = {Aerospace Science and Technology},
  volume  = {72},
  pages = {63--76},
  year = {2018},
  publisher  = {Elsevier},
  groups  = {app}
  }

• D. Xin, H. Zhang, and J. Ou, “Secondary wake instability of a bridge model and its application in wake control,” Computers & fluids, vol. 160, p. 108–119, 2018.
  [Bibtex]

  @Article{ xi.zh.ou:18,
  title = {Secondary wake instability of a bridge model and its
  application in wake control},
  author  = {Xin, Dabo and Zhang, Hongfu and Ou, Jinping},
  journal  = {Computers \& Fluids},
  volume  = {160},
  pages = {108--119},
  year = {2018},
  publisher  = {Elsevier},
  groups  = {app}
  }

2017

• S. Chun and C. Eskilsson, “Method of moving frames to solve the shallow water equations on arbitrary rotating curved surfaces,” Journal of computational physics, vol. 333, p. 1–23, 2017.
  [Bibtex]

  @Article{ ch.es:17,
  title = {Method of moving frames to solve the shallow water
  equations on arbitrary rotating curved surfaces},
  author  = {Chun, S and Eskilsson, Claes},
  journal  = {Journal of Computational Physics},
  volume  = {333},
  pages = {1--23},
  year = {2017},
  publisher  = {Elsevier},
  groups  = {app}
  }

• S. Chun, “Method of moving frames to solve time-dependent maxwell’s equations on anisotropic curved surfaces: applications to invisible cloak and elf propagation,” Journal of computational physics, vol. 340, p. 85–104, 2017.
  [Bibtex]

  @Article{ ch:17,
  title = {Method of moving frames to solve time-dependent Maxwell's
  equations on anisotropic curved surfaces: Applications to
  invisible cloak and ELF propagation},
  author  = {Chun, Sehun},
  journal  = {Journal of Computational Physics},
  volume  = {340},
  pages = {85--104},
  year = {2017},
  publisher  = {Elsevier},
  groups  = {app}
  }

• L. Gonzalez, E. Ferrer, and H. Diaz-Ojeda, “Onset of three-dimensional flow instabilities in lid-driven circular cavities,” Physics of fluids, vol. 29, iss. 6, p. 64102, 2017.
  [Bibtex]

  @Article{ go.fe.di:17,
  title = {Onset of three-dimensional flow instabilities in
  lid-driven circular cavities},
  author  = {Gonzalez, LM and Ferrer, E and Diaz-Ojeda, HR},
  journal  = {Physics of Fluids},
  volume  = {29},
  number  = {6},
  pages = {064102},
  year = {2017},
  publisher  = {AIP Publishing},
  groups  = {app}
  }

• W. He, R. Gioria, J. Pérez, and V. Theofilis, “Linear instability of low reynolds number massively separated flow around three naca airfoils,” Journal of fluid mechanics, vol. 811, p. 701–741, 2017.
  [Bibtex]

  @Article{ he.gi.pe.ea:17,
  title = {Linear instability of low Reynolds number massively
  separated flow around three NACA airfoils},
  author  = {He, W and Gioria, RS and P{\'e}rez, JM and Theofilis, V},
  journal  = {Journal of Fluid Mechanics},
  volume  = {811},
  pages = {701--741},
  year = {2017},
  publisher  = {Cambridge University Press},
  groups  = {app}
  }

• M. R. Jotkar and R. Govindarajan, “Non-modal stability of jeffery-hamel flow,” Physics of fluids, vol. 29, iss. 6, p. 64107, 2017.
  [Bibtex]

  @Article{ jo.go:17,
  title = {Non-modal stability of Jeffery-Hamel flow},
  author  = {Jotkar, Mamta R and Govindarajan, Rama},
  journal  = {Physics of Fluids},
  volume  = {29},
  number  = {6},
  pages = {064107},
  year = {2017},
  publisher  = {AIP Publishing},
  groups  = {app}
  }

• S. Ma, C. Kang, T. A. Lim, C. Wu, and O. Tutty, “Wake of two side-by-side square cylinders at low reynolds numbers,” Physics of fluids, vol. 29, iss. 3, p. 33604, 2017.
  [Bibtex]

  @Article{ ma.ka.li.ea:17,
  title = {Wake of two side-by-side square cylinders at low Reynolds
  numbers},
  author  = {Ma, Shengwei and Kang, Chang-Wei and Lim, Teck-Bin Arthur
  and Wu, Chih-Hua and Tutty, Owen},
  journal  = {Physics of Fluids},
  volume  = {29},
  number  = {3},
  pages = {033604},
  year = {2017},
  publisher  = {AIP Publishing},
  groups  = {app}
  }

• M. A. Moratilla-Vega, H. Xia, and G. J. Page, “A coupled les-ape approach for jet noise prediction,” in Inter-noise and noise-con congress and conference proceedings, 2017, p. 3946–3957.
  [Bibtex]

  @InProceedings{ mo.xi.pa:17,
  title = {A coupled LES-APE approach for jet noise prediction},
  author  = {Moratilla-Vega, Miguel A and Xia, Hao and Page, Gary J},
  booktitle  = {INTER-NOISE and NOISE-CON Congress and Conference
  Proceedings},
  volume  = {255},
  number  = {4},
  pages = {3946--3957},
  year = {2017},
  organization  = {Institute of Noise Control Engineering},
  groups  = {app}
  }

• A. V. Proskurin and A. M. Sagalakov, “A spectral/hp element solver for magnetohydrodynamics,” Arxiv preprint arxiv:1707.08957, 2017.
  [Bibtex]

  @Article{ pr.sa:17,
  title = {A spectral/hp element solver for magnetohydrodynamics},
  author  = {Proskurin, Alexander V and Sagalakov, Anatoly M},
  journal  = {arXiv preprint arXiv:1707.08957},
  year = {2017},
  groups  = {app}
  }

• G. Tang, L. Cheng, F. Tong, L. Lu, and M. Zhao, “Modes of synchronisation in the wake of a streamwise oscillatory cylinder,” Journal of fluid mechanics, vol. 832, p. 146–169, 2017.
  [Bibtex]

  @Article{ ta.ch.to.ea:17,
  title = {Modes of synchronisation in the wake of a streamwise
  oscillatory cylinder},
  author  = {Tang, Guoqiang and Cheng, Liang and Tong, Feifei and Lu,
  Lin and Zhao, Ming},
  journal  = {Journal of Fluid Mechanics},
  volume  = {832},
  pages = {146--169},
  year = {2017},
  publisher  = {Cambridge University Press},
  groups  = {app}
  }

• F. Tong, L. Cheng, C. Xiong, S. Draper, H. An, and X. Lou, “Flow regimes for a square cross-section cylinder in oscillatory flow,” Journal of fluid mechanics, vol. 813, p. 85–109, 2017.
  [Bibtex]

  @Article{ to.ch.xi.ea:17,
  title = {Flow regimes for a square cross-section cylinder in
  oscillatory flow},
  author  = {Tong, Feifei and Cheng, Liang and Xiong, Chengwang and
  Draper, Scott and An, Hongwei and Lou, Xiaofan},
  journal  = {Journal of Fluid Mechanics},
  volume  = {813},
  pages = {85--109},
  year = {2017},
  publisher  = {Cambridge University Press},
  groups  = {app}
  }

• N. Yadav, S. Gepner, and J. Szumbarski, “Instability in a channel with grooves parallel to the flow,” Physics of fluids, vol. 29, iss. 8, p. 84104, 2017.
  [Bibtex]

  @Article{ ya.ge.sz:17,
  title = {Instability in a channel with grooves parallel to the
  flow},
  author  = {Yadav, Nikesh and Gepner, SW and Szumbarski, Jacek},
  journal  = {Physics of Fluids},
  volume  = {29},
  number  = {8},
  pages = {084104},
  year = {2017},
  publisher  = {AIP Publishing},
  groups  = {app}
  }

2016

• S. Gepner and J. Floryan, “Flow dynamics and enhanced mixing in a converging–diverging channel,” Journal of fluid mechanics, vol. 807, p. 167–204, 2016.
  [Bibtex]

  @Article{ ge.fl:16,
  title = {Flow dynamics and enhanced mixing in a
  converging--diverging channel},
  author  = {Gepner, SW and Floryan, JM},
  journal  = {Journal of Fluid Mechanics},
  volume  = {807},
  pages = {167--204},
  year = {2016},
  publisher  = {Cambridge University Press},
  groups  = {app}
  }

• H. Jiang, L. Cheng, F. Tong, S. Draper, and H. An, “Stable state of mode a for flow past a circular cylinder,” Physics of fluids, vol. 28, iss. 10, p. 104103, 2016.
  [Bibtex]

  @Article{ ji.ch.to.ea:16,
  title = {Stable state of Mode A for flow past a circular cylinder},
  author  = {Jiang, Hongyi and Cheng, Liang and Tong, Feifei and
  Draper, Scott and An, Hongwei},
  journal  = {Physics of Fluids},
  volume  = {28},
  number  = {10},
  pages = {104103},
  year = {2016},
  publisher  = {AIP Publishing},
  groups  = {app}
  }

• J. Lombard, D. Moxey, S. Sherwin, J. Hoessler, S. Dhandapani, and M. Taylor, “Implicit large-eddy simulation of a wingtip vortex,” Aiaa journal, vol. 54, p. 506–518, 2016.
  [Bibtex]

  @Article{ lo.mo.sh.ea:16,
  author  = {Lombard, J-EW and Moxey, D and Sherwin, SJ and Hoessler,
  JFA and Dhandapani, S and Taylor, MJ},
  journal  = {AIAA JOURNAL},
  month = {Feb},
  pages = {506--518},
  publisher  = {AMER INST AERONAUTICS ASTRONAUTICS},
  title = {Implicit Large-Eddy Simulation of a Wingtip Vortex},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000373294100011\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {54},
  year = {2016},
  doi = {10.2514/1.J054181},
  issn = {0001-1452},
  issue = {2},
  keyword  = {STABILIZATION},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

• J. Pech, “On computations of temperature dependent incompressible flows by high order methods,” in Epj web of conferences, 2016, p. 2089.
  [Bibtex]

  @InProceedings{ pe:16,
  title = {On computations of temperature dependent incompressible
  flows by high order methods},
  author  = {Pech, Jan},
  booktitle  = {EPJ Web of Conferences},
  volume  = {114},
  pages = {02089},
  year = {2016},
  organization  = {EDP Sciences},
  groups  = {app}
  }

• H. Xu, S. Sherwin, P. Hall, and X. Wu, “The behaviour of tollmien-schlichting waves undergoing small-scale localised distortions,” Journal of fluid mechanics, vol. 792, p. 499–525, 2016.
  [Bibtex]

  @Article{ xu.sh.ha.ea:16,
  author  = {Xu, H and Sherwin, SJ and Hall, P and Wu, X},
  journal  = {JOURNAL OF FLUID MECHANICS},
  month = {Apr},
  pages = {499--525},
  publisher  = {CAMBRIDGE UNIV PRESS},
  title = {The behaviour of Tollmien-Schlichting waves undergoing
  small-scale localised distortions},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000371400400020\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {792},
  year = {2016},
  doi = {10.1017/jfm.2016.93},
  issn = {0022-1120},
  keyword  = {TRANSITION},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

2015

• S. Claus, C. Cantwell, and T. Phillips, “Spectral/hp element methods for plane newtonian extrudate swell,” Computers & fluids, vol. 116, p. 105–117, 2015.
  [Bibtex]

  @Article{ claus2015spectral,
  title = {Spectral/hp element methods for plane Newtonian extrudate
  swell},
  author  = {Claus, Susanne and Cantwell, CD and Phillips, TN},
  journal  = {Computers \& Fluids},
  volume  = {116},
  pages = {105--117},
  year = {2015},
  publisher  = {Elsevier},
  groups  = {app}
  }

• A. Comerford, K. Y. Chooi, M. Nowak, P. D. Weinberg, and S. J. Sherwin, “A combined numerical and experimental framework for determining permeability properties of the arterial media,” Biomechanics and modeling in mechanobiology, vol. 14, p. 297–313, 2015.
  [Bibtex]

  @Article{ co.ch.no.ea:15,
  author  = {Comerford, A. and Chooi, K. Y. and Nowak, M. and Weinberg,
  P. D. and Sherwin, S. J.},
  journal  = {BIOMECHANICS AND MODELING IN MECHANOBIOLOGY},
  month = {Apr},
  pages = {297--313},
  publisher  = {SPRINGER HEIDELBERG},
  title = {A combined numerical and experimental framework for
  determining permeability properties of the arterial media},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000350871000007\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {14},
  year = {2015},
  doi = {10.1007/s10237-014-0604-6},
  issn = {1617-7959},
  issue = {2},
  keyword  = {ALBUMIN},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

• J. Cohen, C. Cantwell, D. Moxey, P. Austing, J. Darlington, S. Sherwin, J. Nowell, and X. Guo, “Tempss: a service providing software parameter templates and profiles for scientific hpc,” in E-science (e-science), 2015 ieee 11th international conference on, 2015, p. 78–87.
  [Bibtex]

  @InProceedings{ cohen2015tempss,
  title = {TemPSS: A Service Providing Software Parameter Templates
  and Profiles for Scientific HPC},
  author  = {Cohen, Jeremy and Cantwell, Chris and Moxey, David and
  Austing, Peter and Darlington, John and Sherwin, Spencer
  and Nowell, Jeremy and Guo, Xu},
  booktitle  = {e-Science (e-Science), 2015 IEEE 11th International
  Conference on},
  pages = {78--87},
  year = {2015},
  organization  = {IEEE},
  groups  = {app}
  }

• B. E. Jordi, C. J. Cotter, and S. J. Sherwin, “An adaptive selective frequency damping method,” Physics of fluids, vol. 27, iss. ARTN 094104, 2015.
  [Bibtex]

  @Article{ jo.co.sh:15,
  author  = {Jordi, B. E. and Cotter, C. J. and Sherwin, S. J.},
  journal  = {PHYSICS OF FLUIDS},
  month = {Sep},
  number  = {ARTN 094104},
  publisher  = {AMER INST PHYSICS},
  title = {An adaptive selective frequency damping method},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000362570800035\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {27},
  year = {2015},
  doi = {10.1063/1.4932107},
  issn = {1070-6631},
  issue = {9},
  keyword  = {FLOW},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

• X. Li, J. K. Ryan, R. M. Kirby, and C. Vuik, “Smoothness-increasing accuracy-conserving (siac) filters for derivative approximations of discontinuous galerkin (dg) solutions over nonuniform meshes and near boundaries,” Journal of computational and applied mathematics, vol. In Press, 2015.
  [Bibtex]

  @Article{ li.ry.ki.ea:15,
  author  = "X. Li and J. K. Ryan and R. M. Kirby and C. Vuik",
  title = "Smoothness-Increasing Accuracy-Conserving (SIAC) Filters
  for Derivative Approximations of discontinuous Galerkin
  (DG) Solutions over Nonuniform Meshes and Near Boundaries",
  journal  = "Journal of Computational and Applied Mathematics",
  volume  = "In Press",
  year = "2015",
  groups  = {app}
  }

• G. Mengaldo, M. Kravtsova, A. I. Ruban, and S. J. Sherwin, “Triple-deck and direct numerical simulation analyses of high-speed subsonic flows past a roughness element,” J. fluid mech., vol. 774, p. 311–323, 2015.
  [Bibtex]

  @Article{ me.kr.ru.ea:15,
  author  = {Mengaldo, G. and Kravtsova, M. and Ruban, A. I. and
  Sherwin, S. J.},
  journal  = {J. Fluid Mech.},
  month = {Jul},
  pages = {311--323},
  publisher  = {CAMBRIDGE UNIV PRESS},
  title = {Triple-deck and direct numerical simulation analyses of
  high-speed subsonic flows past a roughness element},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000358713400017\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {774},
  year = {2015},
  doi = {10.1017/jfm.2015.281},
  issn = {0022-1120},
  keyword  = {CORNERS},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

• M. Mirzargar, J. K. Ryan, and R. M. Kirby, “Smoothness-increasing accuracy-conserving (siac) filtering and quasi-interpolation: a unified view,” Journal of scientific computing, vol. In Press, 2015.
  [Bibtex]

  @Article{ mi.ry.ki:15,
  author  = "Mahsa Mirzargar and Jennifer K. Ryan and Robert M. Kirby",
  title = "Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering
  and Quasi-Interpolation: A Unified View",
  journal  = "Journal of Scientific Computing",
  volume  = "In Press",
  year = "2015",
  groups  = {app}
  }

• G. Rocco and S. J. Sherwin, “The role of spanwise forcing on vortex shedding suppression in a flow past a cylinder,” Fluid mechanics and its applications, vol. 107, p. 105–110, 2015.
  [Bibtex]

  @Article{ ro.sh:15,
  author  = {Rocco, G. and Sherwin, S. J.},
  journal  = {Fluid Mechanics and its Applications},
  month = {Jan},
  pages = {105--110},
  title = {The role of spanwise forcing on vortex shedding
  suppression in a flow past a cylinder},
  volume  = {107},
  year = {2015},
  abstract  = {© Springer International Publishing Switzerland
  2015. Controlling the wake vortex dynamics of bluff bodies
  efficiently is a fundamental problem in many applications.
  Earlier direct numerical simulations (Darekar and Sherwin)
  of three-dimensional bluff bodies demonstrated that the
  introduction of a spanwise waviness at both the leading and
  trailing surfaces suppresses the vortex shedding and
  reduces the amplitude of the fluctuating aerodynamic
  forces. Under this motivation, starting from a fully
  developed shedding, a sufficiently high spanwise forcing is
  introduced on the surface of the cylinder, in the regions
  where separation effects occur, resulting in the
  stabilisation of the near wake in a timeindependent state,
  similar to the effect of a sinusoidal stagnation surface.
  Stability analysis of the linearised Navier-Stokes
  equations was then performed on the threedimensional flows
  to investigate the role of the spanwise modulation on the
  absolute instability associated with the von
  Kármán street.},
  doi = {10.1007/978-3-319-06260-0_15},
  issn = {0926-5112},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

• G. Rocco, T. A. Zaki, X. Mao, H. M. Blackburn, and S. J. Sherwin, “Floquet and transient growth stability analysis of a flow through a compressor passage,” Aerospace science and technology, vol. 44, p. 116–124, 2015.
  [Bibtex]

  @Article{ ro.za.ma.ea:15,
  author  = {Rocco, G. and Zaki, T. A. and Mao, X. and Blackburn, H. M.
  and Sherwin, S. J.},
  journal  = {AEROSPACE SCIENCE AND TECHNOLOGY},
  month = {Jul},
  pages = {116--124},
  publisher  = {ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES
  ELSEVIER},
  title = {Floquet and transient growth stability analysis of a flow
  through a compressor passage},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000356982200012\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {44},
  year = {2015},
  doi = {10.1016/j.ast.2015.02.004},
  issn = {1270-9638},
  keyword  = {WAKES},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

• C. H. Roney, K. N. Tzortzis, C. D. Cantwell, N. A. Qureshi, R. L. Ali, P. B. Lim, J. H. Siggers, F. Ng, and N. S. Peters, “A technique for visualising three-dimensional left atrial cardiac activation data in two dimensions with minimal distance distortion,” in Engineering in medicine and biology society (embc), 2015 37th annual international conference of the ieee, 2015, p. 7296–7299.
  [Bibtex]

  @InProceedings{ roney2015technique,
  title = {A technique for visualising three-dimensional left atrial
  cardiac activation data in two dimensions with minimal
  distance distortion},
  author  = {Roney, Caroline H and Tzortzis, Konstantinos N and
  Cantwell, Chris D and Qureshi, Norman A and Ali, Rheeda L
  and Lim, Phang Boon and Siggers, Jennifer H and Ng, Fu
  Siong and Peters, Nicholas S},
  booktitle  = {Engineering in Medicine and Biology Society (EMBC), 2015
  37th Annual International Conference of the IEEE},
  pages = {7296--7299},
  year = {2015},
  organization  = {IEEE},
  groups  = {app}
  }

• K. N. Tzortzis, C. H. Roney, N. A. Qureshi, F. S. Ng, P. B. Lim, S. J. Sherwin, N. S. Peters, and C. D. Cantwell, “Influence of left atrial geometry on rotor core trajectories in a model of atrial fibrillation,” , 2015.
  [Bibtex]

  @Article{ tzortzisinfluence,
  title = {Influence of Left Atrial Geometry on Rotor Core
  Trajectories in a Model of Atrial Fibrillation},
  author  = {Tzortzis, Konstantinos N and Roney, Caroline H and
  Qureshi, Norman A and Ng, Fu Siong and Lim, Phang Boon and
  Sherwin, Spencer J and Peters, Nicholas S and Cantwell,
  Chris D},
  booktitle  = {Computing in Cardiology},
  year = {2015},
  groups  = {app}
  }

2014

• H. Bhatia, V. Pascucci, R. M. Kirby, and P. -T. Bremer, “Extracting features from time-dependent vector fields using internal reference frames,” Eurographics conference on visualization (eurovis), swansea, wales, uk, 2014.
  [Bibtex]

  @Article{ bh.pa.ki.ea:14,
  author  = "H. Bhatia and V. Pascucci and R. M. Kirby and P. -T.
  Bremer",
  title = "Extracting Features from Time-Dependent Vector Fields
  Using Internal Reference Frames",
  journal  = "Eurographics Conference on Visualization (EuroVis),
  Swansea, Wales, UK",
  month = "Jun",
  year = "2014",
  groups  = {app}
  }

• H. Mirzaee, J. K. Ryan, and R. M. Kirby, “Smoothness-increasing accuracy-conserving (siac) filtering for discontinuous galerkin solutions: applications to structured tetrahedral meshes,” Journal of scientific computing, vol. 58, iss. 3, pp. 690-704, 2014.
  [Bibtex]

  @Article{ mi.ry.ki:14,
  author  = "Hanieh Mirzaee and Jennifer K. Ryan and Robert M. Kirby",
  title = "Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering
  for Discontinuous Galerkin Solutions: Applications to
  Structured Tetrahedral Meshes",
  journal  = "Journal of Scientific Computing",
  volume  = "58",
  number  = "3",
  pages = "690-704",
  year = "2014",
  groups  = {app}
  }

• B. Nelson, R. M. Kirby, and R. Haimes, “Gpu-based volume visualization from high-order finite element fields,” Ieee transactions on visualization and computer graphics, vol. 20, iss. 1, pp. 70-83, 2014.
  [Bibtex]

  @Article{ ne.ki.ha:14,
  author  = "Blake Nelson and Robert M. Kirby and Robert Haimes",
  title = "GPU-Based Volume Visualization From High-Order Finite
  Element Fields",
  journal  = "IEEE Transactions on Visualization and Computer Graphics",
  volume  = "20",
  number  = "1",
  pages = "70-83",
  year = "2014",
  groups  = {app}
  }

• C. H. Roney, C. D. Cantwell, N. Qureshi, R. L. Ali, E. T. Chang, P. B. Lim, S. J. Sherwin, N. S. Peters, J. H. Siggers, F. S. Ng, and others, “An automated algorithm for determining conduction velocity, wavefront direction and origin of focal cardiac arrhythmias using a multipolar catheter,” in Engineering in medicine and biology society (embc), 2014 36th annual international conference of the ieee, 2014, p. 1583–1586.
  [Bibtex]

  @InProceedings{ roney2014automated,
  title = {An automated algorithm for determining conduction
  velocity, wavefront direction and origin of focal cardiac
  arrhythmias using a multipolar catheter},
  author  = {Roney, Caroline H and Cantwell, Chris D and Qureshi,
  Norman and Ali, Rheeda L and Chang, Eugene TY and Lim,
  Phang Boon and Sherwin, Spencer J and Peters, Nicholas S
  and Siggers, Jennifer H and Ng, Fu Siong and others},
  booktitle  = {Engineering in Medicine and Biology Society (EMBC), 2014
  36th Annual International Conference of the IEEE},
  pages = {1583--1586},
  year = {2014},
  organization  = {IEEE},
  groups  = {app}
  }

• J. K. Ryan, X. Li, R. M. Kirby, and K. Vuik, “One-sided position-dependent smoothness-increasing accuracy-conserving (siac) filtering over uniform and non-uniform meshes,” Journal of scientific computing, vol. In Press, 2014.
  [Bibtex]

  @Article{ ry.li.ki.ea:14,
  author  = "Jennifer K. Ryan and Xiaozhou Li and Robert M. Kirby and
  Kees Vuik",
  title = "One-Sided Position-Dependent Smoothness-Increasing
  Accuracy-Conserving (SIAC) Filtering Over Uniform and
  Non-Uniform Meshes",
  journal  = "Journal of Scientific Computing",
  volume  = "In Press",
  year = "2014",
  groups  = {app}
  }

2013

• H. M. Blackburn, P. Hall, and S. J. Sherwin, “Lower branch equilibria in couette flow: the emergence of canonical states for arbitrary shear flows,” Journal of fluid mechanics, vol. 726, iss. ARTN R2, 2013.
  [Bibtex]

  @Article{ bl.ha.sh:13,
  author  = {Blackburn, H. M. and Hall, P. and Sherwin, S. J.},
  journal  = {JOURNAL OF FLUID MECHANICS},
  month = {Jul},
  number  = {ARTN R2},
  publisher  = {CAMBRIDGE UNIV PRESS},
  title = {Lower branch equilibria in Couette flow: the emergence of
  canonical states for arbitrary shear flows},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000327870600014\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {726},
  year = {2013},
  doi = {10.1017/jfm.2013.254},
  issn = {0022-1120},
  keyword  = {VORTICES},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

• J. Cohen, D. Moxey, C. D. Cantwell, P. Burovskiy, J. Darlington, and S. J. Sherwin, “Nekkloud: a software environment for high-order finite element analysis on clusters and clouds,” 2013 ieee international conference on cluster computing (cluster), 2013.
  [Bibtex]

  @Article{ co.mo.ca.ea:13,
  author  = {Cohen, J. and Moxey, D. and Cantwell, C. D. and Burovskiy,
  P. and Darlington, J. and Sherwin, S. J.},
  journal  = {2013 IEEE INTERNATIONAL CONFERENCE ON CLUSTER COMPUTING
  (CLUSTER)},
  month = {Jan},
  organization  = {Indianapolis, IN},
  publisher  = {IEEE},
  series  = {IEEE International Conference on Cluster Computing},
  title = {Nekkloud: A Software Environment for High-order Finite
  Element Analysis on Clusters and Clouds},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000349249800014\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  year = {2013},
  startyear  = {2013},
  startmonth  = {Sep},
  startday  = {23},
  finishyear  = {2013},
  finishmonth  = {Sep},
  finishday  = {27},
  issn = {1552-5244},
  keyword  = {COMMUNITY},
  language  = {English},
  conference  = {15th IEEE International Conference on Cluster Computing
  (CLUSTER)},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

• J. King and R. M. Kirby, “A scalable, efficient scheme for the evaluation of stencil computations over unstructured meshes,” Ieee supercomputing 2013, denver, co, 2013.
  [Bibtex]

  @Article{ ki.ki:13,
  author  = "James King and Robert M. Kirby",
  title = "A Scalable, Efficient Scheme for the Evaluation of Stencil
  Computations over Unstructured Meshes",
  journal  = "IEEE SuperComputing 2013, Denver, CO",
  month = "Nov",
  year = "2013",
  groups  = {app}
  }

• H. Mirzaee, J. King, J. K. Ryan, and R. M. Kirby, “Smoothness-increasing accuracy-conserving (siac) filters for discontinuous galerkin solutions over unstructured triangular meshes,” Siam journal of scientific computing, vol. 35, iss. 1, pp. 212-230, 2013.
  [Bibtex]

  @Article{ mi.ki.ry.ea:13,
  author  = "Hanieh Mirzaee and James King and Jennifer K. Ryan and
  Robert M. Kirby",
  title = "Smoothness-Increasing Accuracy-Conserving (SIAC) Filters
  for Discontinuous Galerkin Solutions Over Unstructured
  Triangular Meshes",
  journal  = "SIAM Journal of Scientific Computing",
  volume  = "35",
  number  = "1",
  pages = "212-230",
  year = "2013",
  groups  = {app}
  }

• V. Peiffer, S. J. Sherwin, and P. D. Weinberg, “Computation in the rabbit aorta of a new metric – the transverse wall shear stress – to quantify the multidirectional character of disturbed blood flow,” Journal of biomechanics, vol. 46, p. 2651–2658, 2013.
  [Bibtex]

  @Article{ pe.sh.we:13,
  author  = {Peiffer, V. and Sherwin, S. J. and Weinberg, P. D.},
  journal  = {JOURNAL OF BIOMECHANICS},
  month = {Oct},
  pages = {2651--2658},
  publisher  = {ELSEVIER SCI LTD},
  title = {Computation in the rabbit aorta of a new metric - the
  transverse wall shear stress - to quantify the
  multidirectional character of disturbed blood flow},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000326771800012\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {46},
  year = {2013},
  doi = {10.1016/j.jbiomech.2013.08.003},
  issn = {0021-9290},
  issue = {15},
  keyword  = {BRANCHES},
  language  = {English},
  day = {18},
  publicationstatus={published},
  groups  = {app}
  }

• S. Shastry and R. M. Kirby, “On interpolation errors over quadratic nodal triangular finite elements,” 22nd international meshing roundtable, orlando, fl, 2013.
  [Bibtex]

  @Article{ sh.ki:13,
  author  = "Shankar Shastry and Robert M. Kirby",
  title = "On Interpolation Errors over Quadratic Nodal Triangular
  Finite Elements",
  journal  = "22nd International Meshing Roundtable, Orlando, FL",
  month = "Oct",
  year = "2013",
  groups  = {app}
  }

2012

• J. Alastruey, K. H. Parker, and S. J. Sherwin, “Arterial pulse wave haemodynamics,” in Bhr group – 11th international conferences on pressure surges, 2012, p. 401–442.
  [Bibtex]

  @InProceedings{ al.pa.sh:12,
  author  = {Alastruey, J. and Parker, K. H. and Sherwin, S. J.},
  booktitle  = {BHR Group - 11th International Conferences on Pressure
  Surges},
  month = {Dec},
  pages = {401--442},
  title = {Arterial pulse wave haemodynamics},
  year = {2012},
  abstract  = {The shape of the arterial pulse wave is intimately related
  to the physical properties of the cardiovascular system.
  Understanding the mechanisms underlying this relation is
  clinically relevant, since pulse waveforms carry valuable
  information for the diagnosis and treatment of disease. We
  overview some numerical, theoretical and experimental
  efforts (using in vivo and in vitro data) made in this
  field of research, focusing on the physical aspects of
  arterial pulse wave propagation in the systemic
  circulation. The mathematical and numerical tools that we
  describe are based on the one-dimensional formulation in
  the time-domain. © BHR Group 2012 Pressure Surges
  11.},
  isbn = {9781855981331},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

• J. King, H. Mirzaee, J. K. Ryan, and R. M. Kirby, “Smoothness-increasing accuracy-conserving (siac) filtering for discontinuous galerkin solutions: improved errors versus higher-order accuracy,” Journal of scientific computing, vol. 53, pp. 129-149, 2012.
  [Bibtex]

  @Article{ ki.mi.ry.ea:12,
  author  = "James King and Hanieh Mirzaee and Jennifer K. Ryan and
  Robert M. Kirby",
  title = "Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering
  for discontinuous Galerkin Solutions: Improved Errors
  Versus Higher-Order Accuracy",
  journal  = "Journal of Scientific Computing",
  volume  = "53",
  issue = "1",
  pages = "129-149",
  year = "2012",
  groups  = {app}
  }

• H. Mirzaee, J. K. Ryan, and R. M. Kirby, “Efficient implementation of smoothness-increasing accuracy-conserving (siac) filters for discontinuous galerkin solutions,” Journal of scientific computing, vol. 52, iss. 1, pp. 85-112, 2012.
  [Bibtex]

  @Article{ mi.ry.ki:12,
  author  = "Hanieh Mirzaee and Jennifer K. Ryan and Robert M. Kirby",
  title = "Efficient Implementation of Smoothness-Increasing
  Accuracy-Conserving (SIAC) Filters for Discontinuous
  Galerkin Solutions",
  journal  = "Journal of Scientific Computing",
  volume  = "52",
  number  = "1",
  pages = "85-112",
  year = "2012",
  groups  = {app}
  }

• B. Nelson, E. Liu, R. Haimes, and R. M. Kirby, “Elvis: a system for the accurate and interactive visualization of high-order finite element solutions,” Ieee transactions on visualization and computer graphics (ieee visualization issue), vol. 18, iss. 12, pp. 2325-2334, 2012.
  [Bibtex]

  @Article{ ne.li.ha.ea:12,
  author  = "Blake Nelson and Eric Liu and Robert Haimes and Robert M.
  Kirby",
  title = "ElVis: A System for the Accurate and Interactive
  Visualization of High-Order Finite Element Solutions",
  journal  = "IEEE Transactions on Visualization and Computer Graphics
  (IEEE Visualization Issue)",
  volume  = "18",
  number  = "12",
  pages = "2325-2334",
  year = "2012",
  groups  = {app}
  }

• V. Peiffer, E. M. Rowland, S. G. Cremers, P. D. Weinberg, and S. J. Sherwin, “Effect of aortic taper on patterns of blood flow and wall shear stress in rabbits: association with age,” Atherosclerosis, vol. 223, p. 114–121, 2012.
  [Bibtex]

  @Article{ pe.ro.cr.ea:12,
  author  = {Peiffer, V. and Rowland, E. M. and Cremers, S. G. and
  Weinberg, P. D. and Sherwin, S. J.},
  journal  = {ATHEROSCLEROSIS},
  month = {Jul},
  pages = {114--121},
  publisher  = {ELSEVIER IRELAND LTD},
  title = {Effect of aortic taper on patterns of blood flow and wall
  shear stress in rabbits: Association with age},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000306109000009\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {223},
  year = {2012},
  doi = {10.1016/j.atherosclerosis.2012.04.020},
  issn = {0021-9150},
  issue = {1},
  keyword  = {ARCH},
  language  = {English},
  day = {1},
  publicationstatus={published},
  groups  = {app}
  }

2011

• H. Mirzaee, L. Yue, J. K. Ryan, and R. M. Kirby, “Smoothness-increasing accuracy-conserving (siac) postprocessing for discontinuous galerkin solutions over structured triangular meshes,” Siam journal of numerical analysis, vol. 49, iss. 5, pp. 1899-1920, 2011.
  [Bibtex]

  @Article{ mi.yu.ry.ea:11,
  author  = "Hanieh Mirzaee and Liang Yue and Jennifer K. Ryan and
  Robert M. Kirby",
  title = "Smoothness-Increasing Accuracy-Conserving (SIAC)
  Postprocessing for Discontinuous Galerkin Solutions Over
  Structured Triangular Meshes",
  journal  = "SIAM Journal of Numerical Analysis",
  volume  = "49",
  number  = "5",
  pages = "1899-1920",
  year = "2011",
  groups  = {app}
  }

• B. Nelson, R. Haimes, and R. M. Kirby, “Gpu-based interactive cut-surface extraction from high-order finite element fields,” Ieee transactions on visualization and computer graphics (ieee visualization issue), vol. 17, iss. 12, pp. 1803-1811, 2011.
  [Bibtex]

  @Article{ ne.ha.ki:11,
  author  = "Blake Nelson and Robert Haimes and Robert M. Kirby",
  title = "GPU-Based Interactive Cut-Surface Extraction From
  High-Order Finite Element Fields",
  journal  = "IEEE Transactions on Visualization and Computer Graphics
  (IEEE Visualization Issue)",
  volume  = "17",
  number  = "12",
  pages = "1803-1811",
  year = "2011",
  groups  = {app}
  }

2010

• P. Hall and S. Sherwin, “Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures,” Journal of fluid mechanics, vol. 661, p. 178–205, 2010.
  [Bibtex]

  @Article{ ha.sh:10,
  author  = {Hall, P. and Sherwin, S.},
  journal  = {JOURNAL OF FLUID MECHANICS},
  month = {Oct},
  pages = {178--205},
  publisher  = {CAMBRIDGE UNIV PRESS},
  title = {Streamwise vortices in shear flows: harbingers of
  transition and the skeleton of coherent structures},
  url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2\&SrcApp=PARTNER_APP\&SrcAuth=LinksAMR\&KeyUT=WOS:000283960300008\&DestLinkType=FullRecord\&DestApp=ALL_WOS\&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
  volume  = {661},
  year = {2010},
  doi = {10.1017/S0022112010002892},
  issn = {0022-1120},
  keyword  = {STOKES EQUATIONS},
  language  = {English},
  day = {25},
  publicationstatus={published},
  groups  = {app}
  }

• H. Mirzaee, J. K. Ryan, and R. M. Kirby, “Quantification of errors introduced in the numerical approximation and implementation of smoothness-increasing accuracy conserving (siac) filtering of discontinuous galerkin (dg) fields,” Journal of scientific computing, vol. 45, pp. 447-470, 2010.
  [Bibtex]

  @Article{ mi.ry.ki:10,
  author  = "Hanieh Mirzaee and Jennifer K. Ryan and Robert M. Kirby",
  title = "Quantification of Errors Introduced in the Numerical
  Approximation and Implementation of Smoothness-Increasing
  Accuracy Conserving (SIAC) Filtering of Discontinuous
  Galerkin (DG) Fields",
  journal  = "Journal of Scientific Computing",
  volume  = "45",
  pages = "447-470",
  year = "2010",
  groups  = {app}
  }

2009

• D. Walfisch, J. K. Ryan, R. M. Kirby, and R. Haimes, “One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields,” Journal of scientific computing, vol. 38, iss. 2, pp. 164-184, 2009.
  [Bibtex]

  @Article{ wa.ry.ki.ea:09,
  author  = "David Walfisch and Jennifer K. Ryan and Robert M. Kirby
  and Robert Haimes",
  title = "One-Sided Smoothness-Increasing Accuracy-Conserving
  Filtering for Enhanced Streamline Integration through
  Discontinuous Fields",
  journal  = "Journal of Scientific Computing ",
  volume  = "38",
  number  = "2",
  pages = "164-184",
  year = "2009",
  groups  = {app}
  }

2007

• S. Curtis, R. M. Kirby, J. K. Ryan, and C. Shu, “Post-processing for the discontinuous galerkin method over non-uniform meshes,” Siam journal of scientific computing, vol. 30, iss. 1, pp. 272-289, 2007.
  [Bibtex]

  @Article{ cu.ki.ry.ea:07,
  author  = "Sean Curtis and Robert M. Kirby and Jennifer K. Ryan and
  Chi-Wang Shu",
  title = "Post-processing for the Discontinuous Galerkin Method Over
  Non-Uniform Meshes",
  journal  = "SIAM Journal of Scientific Computing",
  volume  = "30",
  number  = "1",
  pages = "272-289",
  year = "2007",
  groups  = {app}
  }

• M. Meyer, B. Nelson, R. M. Kirby, and Ross Whitaker, “Particle systems for efficient and accurate finite element visualization,” Ieee transactions on visualization and computer graphics, vol. 13, iss. 5, pp. 1015-1026, 2007.
  [Bibtex]

  @Article{ me.ne.ki.ea:07,
  author  = "Miriah Meyer and Blake Nelson and Robert M. Kirby and Ross
  Whitaker",
  title = "Particle Systems for Efficient and Accurate Finite Element
  Visualization",
  journal  = "IEEE Transactions on Visualization and Computer Graphics",
  volume  = "13",
  number  = "5",
  pages = "1015-1026",
  year = "2007",
  groups  = {app}
  }

2006

• B. Nelson and R. M. Kirby, “Ray-tracing polymorphic multi-domain spectral/hp elements for isosurface rendering,” Ieee transactions on visualization and computer graphics, vol. 12, iss. 1, pp. 114-125, 2006.
  [Bibtex]

  @Article{ ne.ki:06,
  author  = "Blake Nelson and Robert M. Kirby",
  title = "Ray-Tracing Polymorphic Multi-Domain Spectral/hp Elements
  for Isosurface Rendering",
  journal  = " IEEE Transactions on Visualization and Computer Graphics",
  volume  = "12",
  number  = "1",
  pages = "114-125",
  year = "2006",
  groups  = {app}
  }

Theses

• A. Bolis, “Fourier spectral/hp element method: investigation of time-stepping and parallelisation strategies,” PhD Thesis, 2013.
  [Bibtex]

  @PhDThesis{ bo:13,
  author  = {Alessandro Bolis},
  title = {Fourier Spectral/hp Element Method: Investigation of
  Time-Stepping and Parallelisation Strategies},
  school  = {Imperial College London},
  year = {2013},
  url = {https://spiral.imperial.ac.uk:8443/handle/10044/1/25140},
  groups  = {thesis}
  }

• K. Y. Chooi, “Experimental and numerical investigation of arterial wall mass transport,” PhD Thesis, 2015.
  [Bibtex]

  @PhDThesis{ ch:15,
  title = {Experimental and Numerical Investigation of Arterial Wall
  Mass Transport},
  author  = {Chooi, Kok Yean},
  year = {2015},
  publisher  = {Imperial College London},
  groups  = {thesis}
  }

• D. Ekelschot, “Mesh adaptation strategies for compressible flows using a high-order spectral/hp element discretisation,” PhD Thesis, 2016.
  [Bibtex]

  @PhDThesis{ ek:16,
  author  = {Dirk Ekelschot},
  title = {Mesh adaptation strategies for compressible flows using a
  high-order spectral/hp element discretisation},
  school  = {Imperial College London},
  year = {2016},
  url = {http://hdl.handle.net/10044/1/43340},
  groups  = {thesis}
  }

• D. D. Grazia, “Three-dimensional discontinuous spectral/hp element methods for compressible flows,” PhD Thesis, 2016.
  [Bibtex]

  @PhDThesis{ gr:16,
  author  = {Daniele De Grazia},
  title = {Three-dimensional discontinuous spectral/hp element
  methods for compressible flows},
  school  = {Imperial College London},
  year = {2016},
  url = {https://spiral.imperial.ac.uk:8443/handle/10044/1/40416},
  groups  = {thesis}
  }

• J. Hoessler, “Direct numerical simulations and stability analysis of vortex-dominated flows around complex geometries,” PhD Thesis, 2011.
  [Bibtex]

  @PhDThesis{ ho:11,
  author  = {Julien Hoessler},
  title = {Direct numerical simulations and stability analysis of
  vortex-dominated flows around complex geometries},
  school  = {Imperial College London},
  year = {2011},
  url = {http://hdl.handle.net/10044/1/39386},
  groups  = {thesis}
  }

• B. Jordi, “Unstable steady-state solutions and stability analysis of vortex dominated flow,” PhD Thesis, 2015.
  [Bibtex]

  @PhDThesis{ jo:15,
  author  = {Bastien Jordi},
  title = {Unstable steady-state solutions and stability analysis of
  vortex dominated flow},
  school  = {Imperial College London},
  year = {2015},
  url = {},
  groups  = {thesis}
  }

• G. Mengaldo, “Discontinuous spectral/hp element methods: development, analysis and applications to compressible flows,” PhD Thesis, 2015.
  [Bibtex]

  @PhDThesis{ me:15,
  author  = {Gianmarco Mengaldo},
  title = {Discontinuous spectral/hp element methods: development,
  analysis and applications to compressible flows},
  school  = {Imperial College London},
  year = {2015},
  url = {https://spiral.imperial.ac.uk:8443/handle/10044/1/28678},
  groups  = {thesis}
  }

• Y. Mohamied, “Multidirectional near-wall flow in arteries and its spatial correlation with atherosclerosis,” PhD Thesis, 2016.
  [Bibtex]

  @PhDThesis{ mo:16,
  author  = {Yumnah Mohamied},
  title = {Multidirectional near-wall flow in arteries and its
  spatial correlation with atherosclerosis},
  school  = {Imperial College London},
  year = {2016},
  url = {http://hdl.handle.net/10044/1/44374},
  groups  = {thesis}
  }

• R. Moura, “On the use of spectral element methods for under-resolved simulations of transitional and turbulent flows,” PhD Thesis, 2017.
  [Bibtex]

  @PhDThesis{ mo:17,
  author  = {Rodrigo Moura},
  title = {On the use of spectral element methods for under-resolved
  simulations of transitional and turbulent flows},
  school  = {Imperial College London},
  year = {2017},
  url = {},
  groups  = {thesis}
  }

• G. Rocco, “Advanced instability methods using spectral/hp discretisations and their applications to complex geometries,” PhD Thesis, 2014.
  [Bibtex]

  @PhDThesis{ ro:14,
  author  = {Rocco, G},
  title = {Advanced Instability Methods using Spectral/hp
  Discretisations and their Applications to Complex
  Geometries},
  school  = {Imperial College London},
  year = {2014},
  url = {https://spiral.imperial.ac.uk:8443/handle/10044/1/28686},
  groups  = {thesis}
  }

• P. Vos, “From h to p efficiently: optimising the implementation of spectral/hp element methods,” PhD Thesis, 2011.
  [Bibtex]

  @PhDThesis{ vo:11,
  author  = {Peter Vos},
  title = {From h to p efficiently: Optimising the implementation of
  spectral/hp element methods},
  school  = {Imperial College London},
  year = {2011},
  url = {http://www2.imperial.ac.uk/ssherw/spectralhp/papers/PhDThesis/P_VosPhDThesis.pdf},
  groups  = {thesis}
  }