GHIGO , Arthur

In this note, we present an analytic/exact solution of the one-dimensional model for blood flow. This solution describes the oscillation of a pulse wave in an artery with varying characteristics: cross-sectional area at rest and arterial wall rigidity. It is useful for the validation of numerical methods, especially well-balanced numerical methods.

We performed numerical simulations of blood flow in arteries with a variable stiffness and cross-section at rest using a finite volume method coupled with a hydrostatic reconstruction of the variables at the interface of each mesh cell. The method was then validated on examples taken from the literature. Asymptotic solutions were computed to...