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A stable method for 4D CT-based CFD simulation in the right ventricle of a TGA patient

  • Yuri Vassilevski EMAIL logo , Alexander Danilov , Alexander Lozovskiy , Maxim Olshanskii , Victoria Salamatova , Su Min Chang , Yushui Han and Chun Huie Lin
Published/Copyright: October 30, 2020

Abstract

The paper discusses a stabilization of a finite element method for the equations of fluid motion in a time-dependent domain. After experimental convergence analysis, the method is applied to simulate a blood flow in the right ventricle of a post-surgery patient with the transposition of the great arteries disorder. The flow domain is reconstructed from a sequence of 4D CT images. The corresponding segmentation and triangulation algorithms are also addressed in brief.

MSC 2010: 76M10; 65M12; 74F10; 76Z05

Funding statement: The work was supported by the Russian Science Foundation grant 19-71-10094 (A. Danilov, A. Lozovskiy, V. Salamatova, implementation and numerical experiments), the Moscow Center for Fundamental and Applied Mathematics, agreement No. 075-15-2019-1624 (Yu. Vassilevski, problem setting and discrete models). M. Olshanskii (problem setting and discrete models) was partially supported by NSF through DMS-1953535 and DMS-2011444.

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Received: 2020-08-01
Accepted: 2020-09-18
Published Online: 2020-10-30
Published in Print: 2020-10-27

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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