We study in this paper some numerical schemes for hyperbolic systems with unilateral constraint. In particular, we deal with the scalar case, the isentropic gas dynamics system and the full-gas dynamics system. We prove the convergence of the scheme to an entropy solution of the isentropic gas dynamics with unilateral constraint on the density and mass loss. We also study the non-trivial steady states of the system.
Keywords: numerical scheme, conservation laws with constraint, convergence of scheme, entropy scheme, gas dynamics
@article{M2AN_2003__37_3_479_0, author = {Berthelin, Florent}, title = {Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {479--494}, publisher = {EDP-Sciences}, volume = {37}, number = {3}, year = {2003}, doi = {10.1051/m2an:2003038}, mrnumber = {1994313}, zbl = {1028.35101}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an:2003038/} }
TY - JOUR AU - Berthelin, Florent TI - Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 479 EP - 494 VL - 37 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2003038/ DO - 10.1051/m2an:2003038 LA - en ID - M2AN_2003__37_3_479_0 ER -
%0 Journal Article %A Berthelin, Florent %T Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint %J ESAIM: Modélisation mathématique et analyse numérique %D 2003 %P 479-494 %V 37 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2003038/ %R 10.1051/m2an:2003038 %G en %F M2AN_2003__37_3_479_0
Berthelin, Florent. Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint. ESAIM: Modélisation mathématique et analyse numérique, Volume 37 (2003) no. 3, pp. 479-494. doi : 10.1051/m2an:2003038. http://www.numdam.org/articles/10.1051/m2an:2003038/
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