Interface model coupling via prescribed local flux balance

Annalisa Ambroso; Christophe Chalons; Frédéric Coquel; Thomas Galié

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2014)

  • Volume: 48, Issue: 3, page 895-918
  • ISSN: 0764-583X

Abstract

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This paper deals with the non-conservative coupling of two one-dimensional barotropic Euler systems at an interface at x = 0. The closure pressure laws differ in the domains x < 0 and x > 0, and a Dirac source term concentrated at x = 0 models singular pressure losses. We propose two numerical methods. The first one relies on ghost state reconstructions at the interface while the second is based on a suitable relaxation framework. Both methods satisfy a well-balanced property for stationary solutions. In addition, the second method preserves mass conservation and exactly restores the prescribed singular pressure drops for both unsteady and steady solutions.

How to cite

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Ambroso, Annalisa, et al. "Interface model coupling via prescribed local flux balance." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 48.3 (2014): 895-918. <http://eudml.org/doc/273233>.

@article{Ambroso2014,
abstract = {This paper deals with the non-conservative coupling of two one-dimensional barotropic Euler systems at an interface at x = 0. The closure pressure laws differ in the domains x &lt; 0 and x &gt; 0, and a Dirac source term concentrated at x = 0 models singular pressure losses. We propose two numerical methods. The first one relies on ghost state reconstructions at the interface while the second is based on a suitable relaxation framework. Both methods satisfy a well-balanced property for stationary solutions. In addition, the second method preserves mass conservation and exactly restores the prescribed singular pressure drops for both unsteady and steady solutions.},
author = {Ambroso, Annalisa, Chalons, Christophe, Coquel, Frédéric, Galié, Thomas},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {gas dynamics equations; interfacial coupling; measure valued load; relaxation method; coupled Riemann problem; measure-valued load; non-conservative coupling},
language = {eng},
number = {3},
pages = {895-918},
publisher = {EDP-Sciences},
title = {Interface model coupling via prescribed local flux balance},
url = {http://eudml.org/doc/273233},
volume = {48},
year = {2014},
}

TY - JOUR
AU - Ambroso, Annalisa
AU - Chalons, Christophe
AU - Coquel, Frédéric
AU - Galié, Thomas
TI - Interface model coupling via prescribed local flux balance
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2014
PB - EDP-Sciences
VL - 48
IS - 3
SP - 895
EP - 918
AB - This paper deals with the non-conservative coupling of two one-dimensional barotropic Euler systems at an interface at x = 0. The closure pressure laws differ in the domains x &lt; 0 and x &gt; 0, and a Dirac source term concentrated at x = 0 models singular pressure losses. We propose two numerical methods. The first one relies on ghost state reconstructions at the interface while the second is based on a suitable relaxation framework. Both methods satisfy a well-balanced property for stationary solutions. In addition, the second method preserves mass conservation and exactly restores the prescribed singular pressure drops for both unsteady and steady solutions.
LA - eng
KW - gas dynamics equations; interfacial coupling; measure valued load; relaxation method; coupled Riemann problem; measure-valued load; non-conservative coupling
UR - http://eudml.org/doc/273233
ER -

References

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