5 papers · 1 filter
On structure-preserving and pointwise conservative continuous DG schemes for hyperbolic systems
Rémi Abgrall, Michael Dumbser, Pierre-Henri Maire +1
We present a new class of structure-preserving semi-discrete continuous-discontinuous Galerkin (CG-DG) finite element schemes for linear and nonlinear hyperbolic systems of partial…
A structure-preserving semi-implicit finite volume scheme on vertex-staggered unstructured meshes
Elena Bernardelli, Elena Gaburro, Michael Dumbser
We present a novel structure-preserving semi-implicit finite volume method on vertex-based staggered meshes for the compatible discretization of first order systems of time-depende…
On general and complete multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws
Elena Gaburro, Mario Ricchiuto, Michael Dumbser
In this work, we introduce a framework to design multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws on general unstructured polygonal Voronoi-li…
Variational derivation and compatible discretizations of the Maxwell-GLM system
Michael Dumbser, Alessia Lucca, Ilya Peshkov +1
We present a novel variational derivation of the Maxwell-GLM system, which augments the original vacuum Maxwell equations via a generalized Lagrangian multiplier approach (GLM) by…
An all Mach number semi-implicit hybrid Finite Volume/Virtual Element method for compressible viscous flows on Voronoi meshes
Walter Boscheri, Saray Busto, Michael Dumbser
We present a novel high order semi-implicit hybrid finite volume/virtual element numerical scheme for the solution of compressible flows on Voronoi tessellations. The method relies…