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Title: A phase-field method applied to interface tracking for blood clot formation (English)
Author: Čapek, Marek
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 65
Issue: 4
Year: 2020
Pages: 447-481
Summary lang: English
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Category: math
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Summary: 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. (English)
Keyword: thrombus growth
Keyword: free boundary problem
Keyword: fluid dynamics
Keyword: phase field method
Keyword: finite element method
Keyword: scalability
Keyword: high shear rate thrombosis
MSC: 76D05
MSC: 76M10
MSC: 76T99
idZBL: 07250671
idMR: MR4134143
DOI: 10.21136/AM.2020.0056-19
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Date available: 2020-09-07T09:47:35Z
Last updated: 2020-11-18
Stable URL: http://hdl.handle.net/10338.dmlcz/148342
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