8 citations · 12 across the 6 of their papers we have counts for
5 papers · 1 filter
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,…
Structure Preserving Finite Volume Schemes on Voronoi Grids: Curl Involution, Asymptotic Limit and Thermodynamics
Walter Boscheri, Firas Dhaouadi
We propose a new curl-free and thermodynamically compatible finite volume scheme on Voronoi grids to solve compressible heat conducting flows written in first-order hyperbolic form…
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 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…
Stability theory for some scalar finite difference schemes : Validity of the modified equations approach
Firas Dhaouadi, Emilie Duval, Sergey Tkachenko +1
In this paper, we discuss some limitations of the modified equations approach as a tool for stability analysis for a class of explicit linear schemes to scalar partial derivative e…