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An anti-diffusive Lagrange-Remap scheme for multi-material compressible flows with an arbitrary number of components

Marie Billaud Friess;  Samuel Kokh — 2012

ESAIM: Proceedings

We propose a method dedicated to the simulation of interface flows involving an arbitrary number of compressible components. Our task is two-fold: we first introduce a -component flow model that generalizes the two-material five-equation model of [2,3]. Then, we present a discretization strategy by means of a Lagrange-Remap [8,10] approach following the lines of [5,7,12]. The projection step involves an anti-dissipative mechanism derived from [11,12]. This feature allows to prevent the numerical...

A second order anti-diffusive Lagrange-remap scheme for two-component flows

Marie Billaud Friess;  Benjamin Boutin;  Filipa Caetano;  Gloria Faccanoni;  Samuel Kokh;  Frédéric Lagoutière;  Laurent Navoret — 2011

ESAIM: Proceedings

We build a non-dissipative second order algorithm for the approximate resolution of the one-dimensional Euler system of compressible gas dynamics with two components. The considered model was proposed in [1]. The algorithm is based on [8] which deals with a non-dissipative first order resolution in Lagrange-remap formalism. In the present paper we describe, in the same framework, an algorithm that is second order accurate in time and space, and that...

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