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

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}
    }
  • [DOI] 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}
    }
  • [DOI] 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}
    }
  • [DOI] 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, pp. 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}
    }
  • [DOI] 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, pp. 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}
    }
  • [DOI] 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

  • [DOI] 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, pp. 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}
    }
  • [DOI] 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, pp. 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}
    }
  • [DOI] 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, pp. 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}
    }
  • [DOI] 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, pp. 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}
    }

2014

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

  • [DOI] 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, pp. 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}
    }
  • [DOI] 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, pp. 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}
    }
  • [DOI] 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, pp. 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

  • [DOI] 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, pp. 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

  • [DOI] D. Barkley, H. M. Blackburn, and S. J. Sherwin, “Direct optimal growth analysis for timesteppers,” International journal for numerical methods in fluids, vol. 57, pp. 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

2016

  • [DOI] 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, pp. 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}
    }
  • [DOI] 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, pp. 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, pp. 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}
    }
  • [DOI] 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, pp. 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, pp. 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}
    }
  • [DOI] 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}
    }
  • [DOI] 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, pp. 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}
    }
  • [DOI] 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, pp. 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}
    }
  • [DOI] 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, pp. 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, pp. 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, pp. 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

  • [DOI] 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}
    }
  • [DOI] 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, pp. 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, pp. 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}
    }
  • [DOI] 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, pp. 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

  • [DOI] 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, pp. 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}
    }

PhD Thesis

  • 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}
    }
  • 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}
    }
  • 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}
    }
  • 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}
    }