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

  • Stefan Girke
  • Robert Klöfkorn
  • Mario Ohlberger
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 78)

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.

Keywords

Wall Shear Stress Arterial Wall Discontinuous Galerkin Discontinuous Galerkin Method Numerical Flux 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was supported by the Deutsche Forschungsgemeinschaft, Collaborative Research Center SFB 656 “Cardiovascular Molecular Imaging”, project B07, Münster, Germany. Scaling results were produced using the super computer Yellowstone (ark:/85065/ d7wd3xhc) provided by NCAR’s Computational and Information Systems Laboratory, sponsored by the National Science Foundation. Robert Klöfkorn is partially funded by the DEO program BER under award DE-SC0006959.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Stefan Girke
    • 1
  • Robert Klöfkorn
    • 2
  • Mario Ohlberger
    • 1
  1. 1.Institute for Computational and Applied MathematicsUniversity of MünsterMünsterGermany
  2. 2.National Center for Atmospheric Research1850 Table Mesa DriveBoulderUSA

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