Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes
Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes
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DOI：
10.1007/978-3-319-05591-6_61
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发表时间：
2014-03
期刊：
影响因子：
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通讯作者：
Stefan Girke;R. Klofkorn;Mario Ohlberger
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文献类型：
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作者：
Stefan Girke;R. Klofkorn;Mario Ohlberger
紧致间断Galerkin 2（CDG 2）方法被成功地用于椭圆问题、标量对流扩散方程和可压缩Navier-Stokes方程。在本文中，我们使用新开发的DG方法来解决动脉粥样硬化斑块形成的早期阶段的数学模型。动脉粥样硬化斑块主要由载脂细胞在动脉壁中的积累形成，这在动脉闭塞或通过斑块破裂形成血栓的情况下导致心脏病发作。在描述了一个数学模型和离散化方案后，我们提出了一些基准测试比较CDG 2方法与其他常用的DG方法。此外，我们考虑到并行化和高阶离散计划。
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.