Conservative and non-conservative arbitrary Lagrangian-Eulerian forms for ventricular flows

被引：14
作者：
Nordsletten, D. A. [1 ,2 ]
Hunter, P. J. [2 ]
Smith, N. P. [1 ,2 ]
机构：
[1] Univ Oxford St Johns Coll, Oxford Comp Lab, Oxford OX1 3JP, England
[2] Univ Auckland, Bioengn Inst, Auckland 1, New Zealand
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2008年 / 56卷 / 08期
关键词：
Navier-Stokes; finite element; numerical analysis; blood flow;
D O I：
10.1002/fld.1647
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Blood 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 (c) 2007 John Wiley & Sons, Ltd.
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页码：1457 / 1463
页数：7
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