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O. Delestre and P.-Y. Lagrée A ‘well-balanced’ finite volume scheme for blood flow simulation International Journal for Numerical Methods in Fluids 72

Article first published online: 1 OCT 2012 | DOI: 10.1002/fld.3736

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We present numerical schemes to solve monodimensional equations of blood flow in elastic arteries with varying cross section. This is similar to shallow water equations with a topography. Too simple resolutions of shallow water equations create spurious flows, so ‘well-balanced’ schemes have been developed to avoid this, and in particular, to preserve the equilibrium of the ‘lake at rest’. The analog is proposed here for the blood flow: the equilibrium of the ‘man at eternal rest’.

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