A well-balanced finite volume scheme for 1D hemodynamic simulations*

Olivier Delestre; Pierre-Yves Lagrée

ESAIM: Proceedings (2012)

  • Volume: 35, page 222-227
  • ISSN: 1270-900X

Abstract

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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.

How to cite

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Delestre, Olivier, and Lagrée, Pierre-Yves. Denis Poisson, Fédération, and Trélat, E., eds. " A well-balanced finite volume scheme for 1D hemodynamic simulations*." ESAIM: Proceedings 35 (2012): 222-227. <http://eudml.org/doc/251200>.

@article{Delestre2012,
abstract = {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.},
author = {Delestre, Olivier, Lagrée, Pierre-Yves},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {222-227},
publisher = {EDP Sciences},
title = { A well-balanced finite volume scheme for 1D hemodynamic simulations*},
url = {http://eudml.org/doc/251200},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Delestre, Olivier
AU - Lagrée, Pierre-Yves
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - A well-balanced finite volume scheme for 1D hemodynamic simulations*
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 222
EP - 227
AB - 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.
LA - eng
UR - http://eudml.org/doc/251200
ER -

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