This paper presents an asymptotic preserving (AP) all Mach number finite volume shock
capturing method for the numerical solution of compressible Euler equations of gas …

We propose an all regime Lagrange-Projection like numerical scheme for the gas dynamics
equations. By all regime, we mean that the numerical scheme is able to compute accurate …

We propose large time step and asymptotic preserving schemes for the gas dynamics
equations with external forces and friction terms. By asymptotic preserving, we mean that the …

We propose an all regime Lagrange-Projection like numerical scheme for 2D homogeneous
models for two-phase flows. By all regime, we mean that the numerical scheme is able to …

We propose a family of simple second order accurate schemes for the numerical solution of
Euler equation of gas dynamics that are (linearly) implicit in the acoustic waves, eliminating …

This book focuses on the interplay between Eulerian and Lagrangian conservation laws for
systems that admit physical motivation and originate from continuum mechanics. Ultimately …

This work focuses on the numerical approximation of the Shallow Water Equations (SWE)
using a Lagrange-Projection type approach. We propose to extend to this context recent …

This work focuses on the numerical approximation of the shallow water equations using a
Lagrange--projection-type approach. We propose a fully well-balanced explicit and positive …

This work focuses on the numerical approximation of the barotropic Baer-Nunziato two-
phase flow model. We propose a numerical scheme that relies on an operator splitting …

Relying on two recent contributions by Massot et al.[SIAM J. Appl. Math. 70 (2010), 3203–
3234] and Kah et al.[J. Comput. Phys. 231 (2012)], where a Eulerian Multi-Size Moment …