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
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.
引用
收藏
页码:1457 / 1463
页数:7
相关论文
共 50 条
  • [41] Toward an arbitrary Lagrangian-Eulerian vorticity transport method
    Marshall, JS
    COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, 2003, : 1016 - 1019
  • [42] Arbitrary Lagrangian-Eulerian methods for materials with memory and friction
    Chen, J.S.
    Liu, W.K.
    Belytschko, T.
    American Society of Mechanical Engineers, Applied Mechanics Division, AMD, 1988, 95 : 11 - 31
  • [43] Flux-Based Approach for Conservative Remap of Multi-Material Quantities in 2D Arbitrary Lagrangian-Eulerian Simulations
    Kucharik, Milan
    Shashkov, Mikhail
    FINITE VOLUMES FOR COMPLEX APPLICATIONS VI: PROBLEMS & PERSPECTIVES, VOLS 1 AND 2, 2011, 4 : 623 - +
  • [44] The arbitrary Lagrangian-Eulerian method in large deformation problems
    Stoker, HC
    Huetink, J
    NUMERICAL METHODS IN ENGINEERING '96, 1996, : 184 - 189
  • [45] Needle Insertion Simulation by Arbitrary Lagrangian-Eulerian Method
    Yamaguchi, Satoshi
    Satake, Koji
    Morikawa, Shigehiro
    Shirai, Yoshiaki
    Tanaka, Hiromi T.
    MEDICINE MEETS VIRTUAL REALITY 18, 2011, 163 : 710 - 712
  • [46] A dynamically adaptive arbitrary Lagrangian-Eulerian method for hydrodynamics
    Anderson, RW
    Pember, RB
    Elliott, NS
    ADAPTIVE MESH REFINEMENT - THEORY AND APPLICATIONS, 2005, 41 : 73 - 81
  • [47] A Supervised Learning Framework for Arbitrary Lagrangian-Eulerian Simulations
    Jiang, Ming
    Gallagher, Brian
    Kallman, Joshua
    Laney, Daniel
    2016 15TH IEEE INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND APPLICATIONS (ICMLA 2016), 2016, : 977 - 982
  • [48] Simulating interfacial deformation by arbitrary Lagrangian-Eulerian approach
    Yamaguchi, H
    Takushima, A
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2004, 193 (39-41) : 4439 - 4456
  • [49] Influences of conservative and non-conservative Lorentz forces on energy conservation properties for incompressible magnetohydrodynamic flows
    Yanaoka, Hideki
    JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 491
  • [50] LINEAR NON-CONSERVATIVE SYSTEMS WITH ASYMMETRIC PARAMETERS DERIVABLE FROM A LAGRANGIAN
    KWATNY, HG
    BAHAR, LY
    MASSIMO, FM
    HADRONIC JOURNAL, 1979, 2 (05): : 1159 - 1177