Abstract
AbstractBlood flow through the heart is driven by a complex motion of the endocardial heart wall, where dilation or contraction results in filling and ejection. Boundary‐driven flows of this type are inherently sensitive to conservation principles. Considering the finite element approach to the arbitrary Lagrangian–Eulerian (ALE) form of the Navier–Stokes equations, we present analysis addressing critical assumptions concerning conservation and numerical approximation which affect the accuracy and stability of ALE schemes for boundary‐driven flows. Copyright © 2007 John Wiley & Sons, Ltd.
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