Finite-element-based computational methods for cardiovascular fluid-structure interaction

F.N. Vosse, van de, J. Hart, de, C.H.G.A. Oijen, van, D. Bessems, T.W.M. Gunther, A. Segal, B.J.B.M. Wolters, J.M.A. Stijnen, F.P.T. Baaijens

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Abstract

In this paper a combined arbitrary Lagrange-Euler fictitious domain (ALE-FD) method for fluidstructure interaction problems in cardiovascular biomechanics is derived in terms of a weighted residual finiteelement formulation. For both fluid flow of blood and solid mechanics of vascular tissue, the performance of tetrahedral and hexahedral Crouzeix-Raviart elements are evaluated. Comparable convergence results are found, although for the test cases considered the hexahedral elements are more accurate. The possibilities that are offered by the ALE-FD method are illustrated by means of a simulation of valve dynamics in a simplified left ventricular flow model.
Original languageEnglish
Pages (from-to)335-368
JournalJournal of Engineering Mathematics
Volume47
Issue number3-4
DOIs
Publication statusPublished - 2003

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