Pré-Publication, Document De Travail Année : 2015

A shallow water with variable pressure like model for blood flow modeling and simulation

Résumé

We derived a well-balanced scheme using a hydrostatic reconstruction of the variables at the interface of each cell to numerically simulate blood flow in arteries with a varying section and elasticity. The method has been then validated on examples taken from the literature, where an artery with a varying section at rest and a constant elasticity were considered. Asymptotic solutions were computed to highlight the effect of the viscous and viscoelastic source terms. Finally, a simulation of blood flow in a tapered artery was performed, where the section at rest and the elasticity were varying. In each test case, the well-balanced scheme showed good results when other simpler schemes behaved poorly, generating spurious reflections and nonphysical velocities.

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Est décrite par hal-01403335 Preprint Olivier Delestre, Jose-Maria Fullana, Arthur R. Ghigo, Pierre-Yves Lagrée. An analytic solution for blood flow in an artery with varying geometrical and mechanical properties. 2016. ⟨hal-01403335⟩

Dates et versions

hal-01194326 , version 1 (05-09-2015)
hal-01194326 , version 2 (12-09-2015)

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Olivier Delestre, Arthur R. Ghigo, Jose-Maria Fullana, Pierre-Yves Lagrée. A shallow water with variable pressure like model for blood flow modeling and simulation. 2015. ⟨hal-01194326v1⟩
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