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

preprint2012arXivOpen access

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.

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