263 citations · 433 across the 8 of their papers we have counts for
4 papers · 1 filter
High order ADER schemes for continuum mechanics
Saray Busto, Simone Chiocchetti, Michael Dumbser +2
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 1999…
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
Saray Busto, Maurizio Tavelli, Walter Boscheri +1
We propose a new family of high order staggered semi-implicit discontinuous Galerkin (DG) methods for the simulation of natural convection problems. Assuming small temperature fluc…
Efficient, High Accuracy ADER-WENO Schemes for Hydrodynamics and Divergence-Free Magnetohydrodynamics
Dinshaw S. Balsara, Tobias Rumpf, Michael Dumbser +1
The present paper introduces a class of finite volume schemes of increasing order of accuracy in space and time for hyperbolic systems that are in conservation form. This paper spe…
A Sub-Cell Based Indicator for Troubled Zones in RKDG Schemes and a Novel Class of Hybrid RKDG+HWENO Schemes
D. S. Balsara, Christoph Altmann, Claus-Dieter Munz +1
Runge Kutta Discontinuous Galerkin (RKDG) schemes can provide highly accurate solutions for a large class of important scientific problems. Using them for problems with shocks and…