Abstract
We consider mass conservation and momentum equations for inviscid blood flow in elastic vessels. It is shown that the Lattice Boltzmann(LB) models for non-ideal gas in the limit of low Knudsen numbers are asymptotically equivalent to the blood flow equations. The equation of state for non-ideal gas becomes vessel’s pressure-area response when LB models are applied for blood motion modeling. Two test case problems are considered: a propagation of a sole nonlinear wave and pulse wave propagation in a stented vessel.
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