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A well-balanced finite volume scheme for 1D hemodynamic simulations (1108.6210v2)
Published 31 Aug 2011 in math.NA and cs.NA
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.