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A combined fictitious domain/adaptive meshing method for fluid–structure interaction in heart valves
Author(s) -
van Loon R.,
Anderson P. D.,
de Hart J.,
Baaijens F. P. T.
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.775
Subject(s) - fluid–structure interaction , finite element method , lagrange multiplier , mechanics , pressure gradient , fluid pressure , mesh generation , computer science , position (finance) , mathematics , physics , structural engineering , mathematical optimization , engineering , finance , economics
A new approach for modelling the fluid‐structure interaction of flexible heart valves is proposed. Using a finite element method, a Lagrangian description of a non‐linear solid and an Eulerian description of a fluid are coupled by a Lagrange multiplier. This multiplier allows the solid and fluid mesh to be non‐conform. Solid displacements and fluid velocities are described well in such a fictitious domain approach. However, the accuracy of pressures and shear stresses in the vicinity of the solid are poor. Therefore an inexpensive mesh‐adaptation algorithm is applied, which adapts the fluid mesh to the position of the solid mesh every time step. This minor adjustment of the fluid mesh makes it possible to sustain a physiological pressure gradient across a solid leaflet. Furthermore, shear stresses can be computed at both sides of the leaflet. The method is demonstrated for a 2D example, however with a scope to 3D modelling. Copyright © 2004 John Wiley & Sons, Ltd.