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

ESAIM: Proceedings (2011)

  • Volume: 32, page 149-162
  • ISSN: 1270-900X

Abstract

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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 preserves sharp interfaces. Numerical results reported at the end of the paper are very encouraging, showing the interest of the second order accuracy for genuinely non-linear waves.

How to cite

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Billaud Friess, Marie, et al. Cancès, E., et al, eds. "A second order anti-diffusive Lagrange-remap scheme for two-component flows." ESAIM: Proceedings 32 (2011): 149-162. <http://eudml.org/doc/251208>.

@article{BillaudFriess2011,
abstract = {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 preserves sharp interfaces. Numerical results reported at the end of the paper are very encouraging, showing the interest of the second order accuracy for genuinely non-linear waves.},
author = {Billaud Friess, Marie, Boutin, Benjamin, Caetano, Filipa, Faccanoni, Gloria, Kokh, Samuel, Lagoutière, Frédéric, Navoret, Laurent},
editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {11},
pages = {149-162},
publisher = {EDP Sciences},
title = {A second order anti-diffusive Lagrange-remap scheme for two-component flows},
url = {http://eudml.org/doc/251208},
volume = {32},
year = {2011},
}

TY - JOUR
AU - Billaud Friess, Marie
AU - Boutin, Benjamin
AU - Caetano, Filipa
AU - Faccanoni, Gloria
AU - Kokh, Samuel
AU - Lagoutière, Frédéric
AU - Navoret, Laurent
AU - Cancès, E.
AU - Crouseilles, N.
AU - Guillard, H.
AU - Nkonga, B.
AU - Sonnendrücker, E.
TI - A second order anti-diffusive Lagrange-remap scheme for two-component flows
JO - ESAIM: Proceedings
DA - 2011/11//
PB - EDP Sciences
VL - 32
SP - 149
EP - 162
AB - 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 preserves sharp interfaces. Numerical results reported at the end of the paper are very encouraging, showing the interest of the second order accuracy for genuinely non-linear waves.
LA - eng
UR - http://eudml.org/doc/251208
ER -

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