Geodesic
A well-balanced finite volume scheme for 1D hemodynamic simulations
Olivier Delestre1 ; Pierre-Yves Lagrée1
1 CNRS & UPMC Université Paris 06, UMR 7190, 4 place Jussieu, Institut Jean le Rond d’Alembert, Boîte 162, F-75005 Paris, France
ESAIM. Proceedings, Tome 35 (2012), pp. 222-227.

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We are interested in simulating blood flow in arteries with variable elasticity with a one dimensional model. We present a well-balanced finite volume scheme based on the recent developments in shallow water equations context. We thus get a mass conservative scheme which also preserves equilibria of Q = 0. This numerical method is tested on analytical tests.
DOI : 10.1051/proc/201235018

Olivier Delestre 1 ; Pierre-Yves Lagrée 1

1 CNRS & UPMC Université Paris 06, UMR 7190, 4 place Jussieu, Institut Jean le Rond d’Alembert, Boîte 162, F-75005 Paris, France 
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     author = {Olivier Delestre and Pierre-Yves Lagr\'ee},
     title = {A well-balanced finite volume scheme for {1D} hemodynamic simulations},
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Olivier Delestre; Pierre-Yves Lagrée. A well-balanced finite volume scheme for 1D hemodynamic simulations. ESAIM. Proceedings, Tome 35 (2012), pp. 222-227. doi : 10.1051/proc/201235018. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235018/

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