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

TL;DR

This paper introduces a well-balanced finite volume scheme for 1D blood flow simulations in arteries with variable elasticity, ensuring mass conservation and equilibrium preservation, validated through analytical tests.

Contribution

It presents a novel finite volume scheme adapted from shallow water equations for accurate blood flow modeling in variable elasticity arteries.

Findings

Mass conservation achieved

Equilibrium states preserved

Validated with analytical tests

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.