4 citations · 4 across the 9 of their papers we have counts for
12 papers
A thermodynamically compatible semi-implicit finite volume scheme for the compressible Euler equations
M. Dumbser, G. Puppo, S. Rinaldi +1
In this work we construct a new semi-implicit (SI) hyperbolic and thermodynamically compatible (HTC) scheme for the compressible Euler equations of gasdynamics. The challenge there…
A structure-preserving staggered semi-implicit four-split finite volume scheme for continuum mechanics on unstructured meshes
M. Dumbser, W. Boscheri, M. Tavelli +1
We present a new semi-implicit structure-preserving (SP) finite volume discretization for a unified first-order hyperbolic model of continuum mechanics. This framework provides a c…
Analysis and structure-preserving discretization of the Heat-GLM system
Firas Dhaouadi, Laura Río-Martín, Michael Dumbser
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…
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…
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…
A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
Walter Boscheri, Michael Dumbser, Raphael Loubère +1
In this work we present a novel structure-preserving scheme for the discretization of the Godunov-Peshkov-Romenski (GPR) model of continuum mechanics written in Lagrangian form. Th…
Convergence of a Hyperbolic Thermodynamically Compatible Finite Volume scheme for the Euler equations
Michael Dumbser, Mária Lukáčová-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…
A first-order hyperbolic reformulation of the Cahn-Hilliard equation
Firas Dhaouadi, Michael Dumbser, Sergey Gavrilyuk
In this paper we present a new first-order hyperbolic reformulation of the Cahn-Hilliard equation. The model is obtained from the combination of augmented Lagrangian techniques pro…
An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements
Enrico Zampa, Michael Dumbser
We present a novel asymptotic-preserving semi-implicit finite element method for weakly compressible and incompressible flows based on compatible finite element spaces. The momentu…
An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model
Laura Río-Martín, Firas Dhaouadi, Michael Dumbser
We present a new second order accurate structure-preserving finite volume scheme for the solution of the compressible barotropic two-phase model of Romenski et. al in multiple spac…