7 papers
Analysis and structure-preserving discretization of the Heat-GLM system
Firas Dhaouadi, Laura RÃo-MartÃn, Laura R{Ã}o-Mart{Ã}n +1
In this paper, we study a prototype hyperbolic system arising from the coupling of Generalized-Lagrangian-Multiplier (GLM) curl-cleaning with linear acoustics. We first show that,…
An Arbitrary-Lagrangian-Eulerian solver for relativistic detonation waves
Sara Rinaldi, Olindo Zanotti, Michael Dumbser
In this paper we study the dynamics of relativistic detonation waves theoretically and numerically. The reaction is physically accounted for by an extra term in the definition of t…
High order numerical discretizations of the Einstein-Euler equations in the Generalized Harmonic formulation
Stefano Muzzolon, Michael Dumbser, Olindo Zanotti +1
We propose two new alternative numerical schemes to solve the coupled Einstein-Euler equations in the Generalized Harmonic formulation. The first one is a finite difference (FD) Ce…
A structure-preserving semi-implicit four-split scheme for continuum mechanics
Michael Dumbser, Andrea Thomann, Maurizio Tavelli +1
We introduce a novel structure-preserving vertex-staggered semi-implicit four-split discretization of a unified first order hyperbolic formulation of continuum mechanics that is ab…
Structure-preserving schemes for nonlinear symmetric hyperbolic and thermodynamically compatible systems of partial differential equations
Alessia Lucca, Michael Dumbser
This paper aims at developing exactly energy-conservative and structure-preserving finite volume schemes for the discretisation of first-order symmetric-hyperbolic and thermodynami…
Convergence of a Hyperbolic Thermodynamically Compatible Finite Volume scheme for the Euler equations
Michael Dumbser, Mária LukáÄová-Medvid'ová, Andrea Thomann
We study the convergence of a novel family of thermodynamically compatible schemes for hyperbolic systems (HTC schemes) in the framework of dissipative weak solutions, applied to t…