Higher-order accurate space-time schemes for computational astrophysics—Part I: finite volume methods
DS Balsara - Living reviews in computational astrophysics, 2017 - Springer
As computational astrophysics comes under pressure to become a precision science, there
is an increasing need to move to high accuracy schemes for computational astrophysics …
is an increasing need to move to high accuracy schemes for computational astrophysics …
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
We present a new family of very high order accurate direct Arbitrary-Lagrangian-Eulerian
(ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of …
(ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of …
High order ADER schemes for continuum mechanics
In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
High order entropy preserving ADER-DG schemes
In this paper, we develop a fully discrete entropy preserving ADER-Discontinuous Galerkin
(ADER-DG) method. To obtain this desired result, we equip the space part of the method …
(ADER-DG) method. To obtain this desired result, we equip the space part of the method …
An efficient class of WENO schemes with adaptive order for unstructured meshes
Recent advances in finite-difference WENO schemes for hyperbolic conservation laws have
resulted in WENO schemes with adaptive order of accuracy. For instance, a WENO-AO (5, 3) …
resulted in WENO schemes with adaptive order of accuracy. For instance, a WENO-AO (5, 3) …
Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes
We present a novel family of arbitrary high order accurate central Weighted ENO (CWENO)
finite volume schemes for the solution of nonlinear systems of hyperbolic conservation laws …
finite volume schemes for the solution of nonlinear systems of hyperbolic conservation laws …
A direct Arbitrary-Lagrangian–Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic …
In this paper we present a new family of high order accurate Arbitrary-Lagrangian–Eulerian
(ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of …
(ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of …
[HTML][HTML] Arbitrary-Lagrangian–Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes
We present a new family of high order accurate fully discrete one-step Discontinuous
Galerkin (DG) finite element schemes on moving unstructured meshes for the solution of …
Galerkin (DG) finite element schemes on moving unstructured meshes for the solution of …
A divergence‐free semi‐implicit finite volume scheme for ideal, viscous, and resistive magnetohydrodynamics
In this paper, we present a novel pressure‐based semi‐implicit finite volume solver for the
equations of compressible ideal, viscous, and resistive magnetohydrodynamics (MHD). The …
equations of compressible ideal, viscous, and resistive magnetohydrodynamics (MHD). The …
Using the PPML approach for constructing a low-dissipation, operator-splitting scheme for numerical simulations of hydrodynamic flows
I Kulikov, E Vorobyov - Journal of Computational Physics, 2016 - Elsevier
An approach for constructing a low-dissipation numerical method is described. The method
is based on a combination of the operator-splitting method, Godunov method, and piecewise …
is based on a combination of the operator-splitting method, Godunov method, and piecewise …