Displaying similar documents to “ High-order WENO scheme for polymerization-type equations*”

Mathematical and numerical modeling of early atherosclerotic lesions

Vincent Calvez, Jean Gabriel Houot, Nicolas Meunier, Annie Raoult, Gabriela Rusnakova (2010)

ESAIM: Proceedings

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This article is devoted to the construction of a mathematical model describing the early formation of atherosclerotic lesions. The early stage of atherosclerosis is an inflammatory process that starts with the penetration of low density lipoproteins in the intima and with their oxidation. This phenomenon is closely linked to the local blood flow dynamics. Extending a previous work [5] that was mainly restricted to a one-dimensional setting,...

Numerical simulations of the focal spot generated by a set of laser beams : LMJ

Antoine Bourgeade, Boniface Nkonga (2011)

ESAIM: Proceedings

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In order to get the fusion of small capsules containing a deuterium-tritium nuclear fuel, the MegaJoule laser (LMJ) will focus a large number of laser beams inside a cylinder (Hohlraum) which contains the fusion capsule. In order to control this process we have to know as well as possible the electromagnetic field created by the laser beams on both Hohlraum’s apertures. This article describes a numerical tool which computes this electromagnetic...

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

Olivier Delestre, Pierre-Yves Lagrée (2012)

ESAIM: Proceedings

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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  = 0. This numerical method is tested on analytical tests.