Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint

Florent Berthelin

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 37, Issue: 3, page 479-494
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Berthelin, Florent. "Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint." ESAIM: Mathematical Modelling and Numerical Analysis 37.3 (2010): 479-494. <http://eudml.org/doc/194174>.

@article{Berthelin2010,
abstract = { 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. },
author = {Berthelin, Florent},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Numerical scheme; conservation laws with constraint; convergence of scheme; entropy scheme; gas dynamics.; numerical scheme; convergence; gas dynamics},
language = {eng},
month = {3},
number = {3},
pages = {479-494},
publisher = {EDP Sciences},
title = {Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint},
url = {http://eudml.org/doc/194174},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Berthelin, Florent
TI - Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 3
SP - 479
EP - 494
AB - 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.
LA - eng
KW - Numerical scheme; conservation laws with constraint; convergence of scheme; entropy scheme; gas dynamics.; numerical scheme; convergence; gas dynamics
UR - http://eudml.org/doc/194174
ER -

References

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