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A phase-field method applied to interface tracking for blood clot formation
Applications of Mathematics ( IF 0.6 ) Pub Date : 2020-07-09 , DOI: 10.21136/am.2020.0056-19
Marek Čapek

The high shear rate thrombus formation was only recently recognized as another way of thrombosis. Models proposed in Weller (2008), (2010) take into account this type of thrombosis. This work uses the phase-field method to model these evolving interface problems. A loosely coupled iterative procedure is introduced to solve the coupled system of equations. Convergence behavior on two levels of refinement of perfusion chamber geometry and cylinder geometry is then studied. The perfusion chamber simulations show good agreement with the original results of Weller. The code is implemented in FEM-library deal.ii Alzeta et al. (2018), which enables distribution of computations to large number of processing units. A scalability and numerical performance study of the loosely coupled iterative procedure is performed, combined with several preconditioners for the linear subproblems.

中文翻译:

一种应用于血凝块形成界面跟踪的相场方法

高剪切速率血栓形成直到最近才被认为是另一种血栓形成方式。Weller (2008), (2010) 提出的模型考虑了这种类型的血栓形成。这项工作使用相场方法来模拟这些不断发展的界面问题。引入了松耦合迭代程序来求解耦合方程组。然后研究了灌注室几何形状和圆柱几何形状的两个细化水平上的收敛行为。灌注室模拟显示与 Weller 的原始结果非常吻合。该代码在 FEM-library deal.ii Alzeta 等人中实现。(2018),它可以将计算分布到大量的处理单元。进行了松散耦合迭代过程的可扩展性和数值性能研究,
更新日期:2020-07-09
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