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Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes

Girke S, Klöfkorn R, Ohlberger M

Research article in edited proceedings (conference) | Peer reviewed

Abstract

The compact Discontinuous Galerkin 2 (CDG2) method was successfully tested for elliptic problems, scalar convection-diffusion equations and compressible Navier-Stokes equations. In this paper we use the newly developed DG method to solve a mathematical model for early stages of atherosclerotic plaque formation. Atherosclerotic plaque is mainly formed by accumulation of lipid-laden cells in the arterial walls which leads to a heart attack in case the artery is occluded or a thrombus is built through a rupture of the plaque. After describing a mathematical model and the discretization scheme, we present some benchmark tests comparing the CDG2 method to other commonly used DG methods. Furthermore, we take parallelization and higher order discretization schemes into account.

Details about the publication

Publisher: Fuhrmann J, Ohlberger M, Rohde C
Book title: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
Page range: 617-625
Publishing company: Springer International Publishing
Title of series: Springer Proceedings in Mathematics & Statistics
Volume of series: 78
Status: Published
Release year: 2014
Language in which the publication is written: English
Conference: Finite Volumes for Complex Applications VII, Berlin, undefined
DOI: 10.1007/978-3-319-05591-6_61
Link to the full text: http://link.springer.com/chapter/10.1007%2F978-3-319-05591-6_61

Authors from the University of Münster

Ohlberger, Mario
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Center for Nonlinear Science
Center for Multiscale Theory and Computation
Wierling, Stefan
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)