FULLANA , Jose-Maria

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...

Modeling and simulating overland flow fed by rainfall is a common issue in watershed surface hydrology. Modelers have to choose among various friction models when defining their simulation framework. The purpose of this work is to compare the simulation quality for the Manning, Darcy-Weisbach, and Poiseuille friction models on the simple case...