48 citations · 120 across the 9 of their papers we have counts for
10 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…
TVD-MOOD schemes based on implicit-explicit time integration
Victor Michel-Dansac, Andrea Thomann
The context of this work is the development of first order total variation diminishing (TVD) implicit-explicit (IMEX) Runge-Kutta (RK) schemes as a basis of a Multidimensional Opti…
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state
Victor Michel-Dansac, Andrea Thomann
The present work concerns the derivation of a fully well-balanced Godunov-type finite volume scheme for the Euler equations with a gravitational potential based on an approximate R…
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: preserving isentropic steady solutions
Christophe Berthon, Victor Michel-Dansac, Andrea Thomann
The present work concerns the derivation of a numerical scheme to approximate weak solutions of the Euler equations with a gravitational source term. The designed scheme is proved…
An implicit-explicit solver for a two-fluid single-temperature model
Mária Lukáčová-Medvid'ová, Ilya Peshkov, Andrea Thomann
We present an implicit-explicit finite volume scheme for two-fluid single-temperature flow in all Mach number regimes which is based on a symmetric hyperbolic thermodynamically com…
An all Mach number finite volume method for isentropic two-phase flow
Maria Lukacova-Medvid'ova, Gabriella Puppo, Andrea Thomann
We present an implicit-explicit finite volume scheme for isentropic two phase flow in all Mach number regimes. The underlying model belongs to the class of symmetric hyperbolic the…
Implicit relaxed all Mach number schemes for gases and compressible materials
Andrea Thomann, Angelo Iollo, Gabriella Puppo
We present an implicit relaxation scheme for the simulation of compressible flows in all Mach number regimes based on a Jin Xin relaxation approach. The main features of the propos…
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
Andrea Thomann, Gabriella Puppo, Christian Klingenberg
We present an implicit-explicit well-balanced finite volume scheme for the Euler equations with a gravitational source term which is able to deal also with low Mach flows. To visua…
An all speed second order IMEX relaxation scheme for the Euler equations
Andrea Thomann, Markus Zenk, Gabriella Puppo +1
We present an implicit-explicit finite volume scheme for the Euler equations. We start from the non-dimensionalised Euler equations where we split the pressure in a slow and a fast…
A second order positivity preserving well-balanced finite volume scheme for Euler equations with gravity for arbitrary hydrostatic equilibria
Andrea Thomann, Markus Zenk, Christian Klingenberg
We present a well-balanced finite volume solver for the compressible Euler equations with gravity where the approximate Riemann solver is derived using a relaxation approach. Besid…