Fluid mixing with Nektar++
Can hydrodynamic instability be used for mixing? And at the same time can conduits be shaped such that hydraulic losses are reduced? We think that it is Yes to both.
Nektar++ and hydrodynamic stability in undulated channels
Nektar++ has been used to study various forms of hydrodynamic instabilities arising is a flow through a channel with corrugated walls. Stability analysis has been performed using direct numerical simulation and tracking growth, or attenuation of the unstable modes.
An adaptable parallel algorithm for the direct numerical simulation of incompressible turbulent flows using a Fourier spectral/hp element method and MPI virtual topologies
DOI: 10.1016/j.cpc.2016.04.011
Abstract: A hybrid parallelisation technique for distributed memory systems is investigated for a coupled Fourier-spectral/hp element discretisation of domains characterised by geometric homogeneity in one or more directions.
On the Connections Between Discontinuous Galerkin and Flux Reconstruction Schemes: Extension to Curvilinear Meshes
DOI: 10.1007/s10915-015-0119-z/fulltext.html
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.
Dealiasing techniques for high-order spectral element methods on regular and irregular grids
DOI: 10.1016/j.jcp.2015.06.032
Abstract: High-order methods are becoming increasingly attractive in both academia and industry, especially in the context of computational fluid dynamics. However, before they can be more widely adopted, issues such as lack of robustness in terms of numerical stability need to be addressed, particularly when treating industrial-type problems where challenging geometries and a wide range of physical scales, typically due to high Reynolds numbers, need to be taken into account.
Nektar++: An open-source spectral/hp element framework
DOI: 10.1016/j.cpc.2015.02.008
Abstract: Nektar++ is an open-source software framework designed to support the development of high-performance scalable solvers for partial differential equations using the spectral/hp element method.
A Guide to the Implementation of Boundary Conditions in Compact High-Order Methods for Compressible Aerodynamics
DOI: 10.2514/6.2014-2923
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.