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.

引用

页码：1457 / 1463

页数：7

共 50 条

[31] The Lagrangian and Hamiltonian formulations for a special class of non-conservative systems
Benenti, S
SPT 2004: SYMMETRY AND PERTURBATION THEORY, 2005, : 43 - 50
[32] Non-conservative and conservative formulations of characteristics-based numerical reconstructions for incompressible flows
Shapiro, E.
Drikakis, D.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2006, 66 (09) : 1466 - 1482
[33] Perturbative treatment of conservative and non-conservative oscillators
Seshadri, M.S., 1991, (06):
[34] Tautochronous vibrations in conservative and non-conservative systems
Koukles, I
Piskounov, N
COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1937, 17 : 471 - 475
[35] Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows
Barlow, Andrew J.
Maire, Pierre-Henri
Rider, William J.
Rieben, Robert N.
Shashkov, Mikhail J.
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 322 : 603 - 665
[36] An arbitrary Lagrangian-Eulerian discontinuous Galerkin method for simulations of flows over variable geometries
Nguyen, Vinh-Tan
JOURNAL OF FLUIDS AND STRUCTURES, 2010, 26 (02) : 312 - 329
[37] An arbitrary Lagrangian-Eulerian SPH-MLS method for the computation of compressible viscous flows
Ramirez, Luis
Eiris, Antonio
Couceiro, Ivan
Paris, Jose
Nogueira, Xesus
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 464
[38] 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
[39] Toward an arbitrary Lagrangian-Eulerian vorticity transport method
Marshall, JS
COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, 2003, : 1016 - 1019
[40] A dynamically adaptive arbitrary Lagrangian-Eulerian method for hydrodynamics
Anderson, RW
Pember, RB
Elliott, NS
COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, 2003, : 1232 - 1236

← 1 2 3 4 5 →