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arxiv: 1108.6210 · v2 · pith:G4OVHMS7new · submitted 2011-08-31 · 🧮 math.NA · cs.NA

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

classification 🧮 math.NA cs.NA
keywords schemefinitevolumewell-balancedanalyticalarteriesbloodconservative
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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.

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