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Journal Articles ESAIM: Proceedings Year : 2012

A finite-volume scheme for a kidney nephron model


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.
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Dates and versions

hal-00640061 , version 1 (10-11-2011)
hal-00640061 , version 2 (03-03-2013)



Aurélie Edwards, Nicolas Seguin, Magali Tournus. A finite-volume scheme for a kidney nephron model. ESAIM: Proceedings, 2012, 35, pp.287-292. ⟨10.1051/proc/201235029⟩. ⟨hal-00640061v2⟩
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