Mesh updating in fluid-structure interactions in biomechanics: An iterative method based on an uncoupled approach
In this study, a computational uncoupled approach to fluid-structure interaction problems in biofluid mechanics is presented. It is based on the finite element method and is applied to study the local fluid dynamics in two specific situations: the left ventricular ejection phase and the motion of an isolated red blood cell along a small artery. Particularly, the focus is on the algorithms developed to deal with mesh updating, because both examined districts are characterized by geometrical deformations of the fluid domain edges. This is currently a challenging issue in the application of computational fluid dynamics techniques to living systems, especially to the cardiovascular system. Although the chosen approach uses a commercial computational fluid dynamics package for the solution of the fluid domain, original algorithms have been developed to perform the boundary displacement calculations correctly, as well as the corresponding mesh updating. Results are reported and compared with available data in the literature pertinent to the two studied problems.
KeywordsComputational fluid dynamics Cardiac mechanics Microcirculation
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- 10.Jeffery, G. B. On the motion of ellipsoidal particles immersed in a viscous fluid.Proc. R. Soc. Lond. A102:162–179, 1922.Google Scholar
- 21.Sponitz, H. M., H. Sonnenblick, and D. Spiro. Relation of ultrastructure to function in intact heart. Sarcomere structure relative to pressure-volume curves of intact left ventricle of dog and cat.Circ. Res. 18:49–66, 1966.Google Scholar
- 29.Wong, A. Y. Application of Huxley’s sliding filament theory to the mechanics of normal and hypertrophical cardiac muscle. In: Cardiac mechanics, edited by I. Mirsky. New York: John Wiley, 1974, pp. 411–437.Google Scholar