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Article
Computational Cardiovascular Flow Analysis with the Variational Multiscale Methods
Journal of Advanced Engineering and Computation
  • Kenji Takizawa, Waseda University
  • Yuri Bazilevs, Brown University
  • Tayfun E. Tezduyar, Rice University
  • Ming-Chen Hsu, Iowa State University
Document Type
Article
Publication Version
Published Version
Publication Date
6-1-2019
DOI
10.25073/jaec.201932.245
Abstract

Computational cardiovascular flow analysis can provide valuable information to medical doctors in a wide range of patientspecific cases, including cerebral aneurysms, aortas and heart valves. The computational challenges faced in this class of flow analyses also have a wide range. They include unsteady flows, complex cardiovascular geometries, moving boundaries and interfaces, such as the motion of the heart valve leaflets, contact between moving solid surfaces, such as the contact between the leaflets, and the fluid–structure interaction between the blood and the cardiovascular structure. Many of these challenges have been or are being addressed by the Space–Time Variational Multiscale (ST-VMS) method, Arbitrary Lagrangian–Eulerian VMS (ALE-VMS) method, and the VMS-based Immersogeometric Analysis (IMGA-VMS), which serve as the core computational methods, and the special methods used in combination with them. We provide an overview of the core and special methods and present examples of challenging computations carried out with these methods, including aorta and heart valve flow analyses.

Comments

This article is published as Takizawa, Kenji, Yuri Bazilevs, Tayfun E. Tezduyar, and Ming-Chen Hsu. "Computational Cardiovascular Flow Analysis with the Variational Multiscale Methods." Journal of Advanced Engineering and Computation 3, no. 2 (2019): 366-405. DOI: 10.25073/jaec.201932.245. Posted with permission.

Creative Commons License
Creative Commons Attribution 4.0
Copyright Owner
Journal of Advanced Engineering and Computation
Language
en
File Format
application/pdf
Citation Information
Kenji Takizawa, Yuri Bazilevs, Tayfun E. Tezduyar and Ming-Chen Hsu. "Computational Cardiovascular Flow Analysis with the Variational Multiscale Methods" Journal of Advanced Engineering and Computation Vol. 3 Iss. 2 (2019) p. 366 - 405
Available at: http://works.bepress.com/ming-chen_hsu/45/