Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement

Murat Manguoglu, Kenji Takizawa, Ahmed H. Sameh, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

Computation of incompressible flows in arterial fluid mechanics, especially because it involves fluid-structure interaction, poses significant numerical challenges. Iterative solution of the fluid mechanics part of the equation systems involved is one of those challenges, and we address that in this paper, with the added complication of having boundary layer mesh refinement with thin layers of elements near the arterial wall. As test case, we use matrix data from stabilized finite element computation of a bifurcating middle cerebral artery segment with aneurysm. It is well known that solving linear systems that arise in incompressible flow computations consume most of the time required by such simulations. For solving these large sparse nonsymmetric systems, we present effective preconditioning techniques appropriate for different stages of the computation over a cardiac cycle.

Original languageEnglish
Pages (from-to)83-89
Number of pages7
JournalComputational Mechanics
Volume46
Issue number1
DOIs
Publication statusPublished - 2010 Jun
Externally publishedYes

Fingerprint

Mesh Refinement
Fluid Mechanics
Fluid mechanics
Linear systems
Boundary Layer
Boundary layers
Linear Systems
Incompressible flow
Incompressible Flow
Stabilized Finite Elements
Preconditioning Techniques
Aneurysm
Fluid structure interaction
Iterative Solution
Thin Layer
Arteries
Use Case
Complications
Cardiac
Cycle

Keywords

  • Arterial fluid mechanics
  • Boundary layer mesh refinement
  • Incompressible flows
  • Nested iterative schemes
  • Preconditioning techniques

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Mechanical Engineering
  • Ocean Engineering
  • Applied Mathematics
  • Computational Mathematics

Cite this

Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement. / Manguoglu, Murat; Takizawa, Kenji; Sameh, Ahmed H.; Tezduyar, Tayfun E.

In: Computational Mechanics, Vol. 46, No. 1, 06.2010, p. 83-89.

Research output: Contribution to journalArticle

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