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