# Interface model coupling via prescribed local flux balance

Annalisa Ambroso; Christophe Chalons; Frédéric Coquel; Thomas Galié

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

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topAmbroso, 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 < 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.},

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 < 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.

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 -

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