350 citations · 1.2k across the 53 of their papers we have counts for
6 papers · 1 filter
Local Fourier Analysis of a Space-Time Multigrid Method for DG-SEM for the Linear Advection Equation
Lea M. Versbach, Philipp Birken, Viktor Linders +1
In this paper we present a Local Fourier Analysis of a space-time multigrid solver for a hyperbolic test problem. The space-time discretization is based on arbitrarily high order d…
A Discontinuous Galerkin Solver in the FLASH Multi-Physics Framework
Johannes Markert, Stefanie Walch, Gregor Gassner
In this paper, we present a discontinuous Galerkin solver based on previous work by Markert et al. (2021) for magneto-hydrodynamics in form of a new fluid solver module integrated…
Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws
Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan +4
Many modern discontinuous Galerkin (DG) methods for conservation laws make use of summation by parts operators and flux differencing to achieve kinetic energy preservation or entro…
Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing
Hendrik Ranocha, Michael Schlottke-Lakemper, Andrew R. Winters +3
We present Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic partial differential equations. Utilizing Julia's strengths, Trixi.jl is extensible…
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation
David A. Kopriva, Jan Nordström, Gregor J. Gassner
We use the energy method to study the well-posedness of initial-boundary value problems approximated by overset mesh methods in one and two space dimensions for linear constant-coe…
A Subcell Finite Volume Positivity-Preserving Limiter for DGSEM Discretizations of the Euler Equations
Andrés M. Rueda-Ramírez, Gregor J. Gassner
In this paper, we present a positivity-preserving limiter for nodal Discontinuous Galerkin disctretizations of the compressible Euler equations. We use a Legendre-Gauss-Lobatto (LG…