Machine learning optimization of compact finite volume methods on unstructured grids
Fourier analysis based optimization techniques have been developed for numerical
schemes on structured grids and result in significant performance improvements. However …
schemes on structured grids and result in significant performance improvements. However …
An implicit high-order k-exact finite-volume approach on vertex-centered unstructured grids for incompressible flows
F Setzwein, P Ess, P Gerlinger - Journal of Computational Physics, 2021 - Elsevier
We present a k-exact reconstruction method, which can be incorporated into vertex-centered
unstructured finite-volume flow solvers to maintain a high-order accurate solution in space …
unstructured finite-volume flow solvers to maintain a high-order accurate solution in space …
High-order compact finite volume schemes for solving the Reynolds averaged Navier-Stokes equations on the unstructured mixed grids with a large aspect ratio
In this paper, high-order compact finite volume schemes on the unstructured grids based on
the variational reconstruction are developed to solve the Reynolds averaged Navier-Stokes …
the variational reconstruction are developed to solve the Reynolds averaged Navier-Stokes …
A framework to perform high‐order deconvolution for finite‐volume method on simplicial meshes
M Bernard, G Lartigue, G Balarac… - … Methods in Fluids, 2020 - Wiley Online Library
In this article, a new framework to design high‐order approximations in the context of node‐
centered finite volumes on simplicial meshes is proposed. The major novelty of this method …
centered finite volumes on simplicial meshes is proposed. The major novelty of this method …
Low dispersion finite volume/element discretization of the enhanced Green–Naghdi equations for wave propagation, breaking and runup on unstructured meshes
We study a hybrid approach combining a finite volume (FV) and a finite element (FE) method
to solve a fully-nonlinear and weakly-dispersive depth averaged wave propagation model …
to solve a fully-nonlinear and weakly-dispersive depth averaged wave propagation model …
A general positivity-preserving algorithm for implicit high-order finite volume schemes solving the Euler and Navier-Stokes equations
This paper presents a general positivity-preserving algorithm for implicit high-order finite
volume schemes that solve compressible Euler and Navier-Stokes equations to ensure the …
volume schemes that solve compressible Euler and Navier-Stokes equations to ensure the …
A two-stage fourth-order gas-kinetic CPR method for the Navier-Stokes equations on triangular meshes
An efficient gas-kinetic scheme with fourth-order accuracy in both space and time is
developed for the Navier-Stokes equations on triangular meshes. The scheme combines an …
developed for the Navier-Stokes equations on triangular meshes. The scheme combines an …
Compact multi-stage reconstruction method on polyhedral unstructured grids: Extension to higher-order finite volume scheme
In this paper, a novel high-order finite volume scheme is proposed for arbitrary unstructured
grids based on multi-stage reconstruction procedure using a compact stencil. Unlike the …
grids based on multi-stage reconstruction procedure using a compact stencil. Unlike the …
High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids
In this paper, a high order finite volume scheme for solving the non-conservative convection
equations on the unstructured grids is proposed. It is found that when the non-conservative …
equations on the unstructured grids is proposed. It is found that when the non-conservative …
A third-order weighted variational reconstructed discontinuous Galerkin method for solving incompressible flows
In this paper, a third-order reconstructed discontinuous Galerkin (DG) method based on a
weighted variational minimization principle, which is denoted as P 1 P 2 (WVr) method, is …
weighted variational minimization principle, which is denoted as P 1 P 2 (WVr) method, is …