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A finite-volume scheme for a kidney nephron model

Aurélie Edwards; Nicolas Seguin; Magali Tournus

ESAIM: Proceedings (2012)

  • Volume: 35, page 287-292
  • ISSN: 1270-900X

Abstract

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We present a finite volume type scheme to solve a transport nephron model. The model consists in a system of transport equations with specific boundary conditions. The transport velocity is driven by another equation that can undergo sign changes during the transient regime. This is the main difficulty for the numerical resolution. The scheme we propose is based on an explicit resolution and is stable under a CFL condition which does not depend on the stiffness of source terms.

How to cite

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Edwards, Aurélie, Seguin, Nicolas, and Tournus, Magali. Denis Poisson, Fédération, and Trélat, E., eds. " A finite-volume scheme for a kidney nephron model ." ESAIM: Proceedings 35 (2012): 287-292. <http://eudml.org/doc/251283>.

@article{Edwards2012,
abstract = {We present a finite volume type scheme to solve a transport nephron model. The model consists in a system of transport equations with specific boundary conditions. The transport velocity is driven by another equation that can undergo sign changes during the transient regime. This is the main difficulty for the numerical resolution. The scheme we propose is based on an explicit resolution and is stable under a CFL condition which does not depend on the stiffness of source terms.},
author = {Edwards, Aurélie, Seguin, Nicolas, Tournus, Magali},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {287-292},
publisher = {EDP Sciences},
title = { A finite-volume scheme for a kidney nephron model },
url = {http://eudml.org/doc/251283},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Edwards, Aurélie
AU - Seguin, Nicolas
AU - Tournus, Magali
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - A finite-volume scheme for a kidney nephron model
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 287
EP - 292
AB - We present a finite volume type scheme to solve a transport nephron model. The model consists in a system of transport equations with specific boundary conditions. The transport velocity is driven by another equation that can undergo sign changes during the transient regime. This is the main difficulty for the numerical resolution. The scheme we propose is based on an explicit resolution and is stable under a CFL condition which does not depend on the stiffness of source terms.
LA - eng
UR - http://eudml.org/doc/251283
ER -

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