Spectral Element Methods for Transitional Flows in Complex Geometries

被引：74

作者：

Fischer, Paul F. ^{[1
]}

Kruse, Gerald W. ^{[2
]}

Loth, Francis ^{[3
]}

机构：

[1] Argonne Natl Lab, Div Math & Comp Sci, Argonne, IL 60439 USA

[2] Juniata Coll, Dept Math & Comp Sci, Huntingdon, PA 16652 USA

[3] Univ Illinois, Dept Mech Engn, Chicago, IL 60607 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2002年 / 17卷 / 1-4期

关键词：

Spectral elements; incompressible Navier-Stokes; filtering; biofluid dynamics; nonconforming methods;

D O I：

10.1023/A:1015188211796

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the development and implementation of an efficient spectral element code for simulating transitional flows in complex three-dimensional domains. Critical to this effort is the use of geometrically nonconforming elements that allow localized refinement in regions of interest, coupled with a stabilized high-order time-split formulation of the semi-discrete Navier-Stokes equations. Simulations of transition in a model of an arteriovenous graft illustrate the potential of this approach in biomechanical applications.

引用

页码：81 / 98

页数：18

共 35 条

[1] ANAGNOSTOU G, 1990, THIRD INTERNATIONAL SYMPOSIUM ON DOMAIN DECOMPOSITION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, P157
[2] [Anonymous], 1994, NUMERICAL APPROXIMAT
[3] [Anonymous], 1989, STATE OF THE ART SUR
[4] ARSLAN N, 1999, THESIS U ILLINOIS CH
[5] A SPECTRAL ELEMENT METHODOLOGY TUNED TO PARALLEL IMPLEMENTATIONS
BENBELGACEM, F
MADAY, Y
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 116 (1-4) : 59 - 67
[6] Bernardi C, 1997, Handbook of numerical analysis, VV, DOI [10.1016/S1570-8659(97)80003-8, DOI 10.1016/S1570-8659(97)80003-8]
[7] Two comments on filtering (artificial viscosity) for Chebyshev and Legendre spectral and spectral element methods: Preserving boundary conditions and interpretation of the filter as a diffusion
Boyd, JP
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 143 (01) : 283 - 288
[8] PERFORMANCE OF UNDER-RESOLVED 2-DIMENSIONAL INCOMPRESSIBLE-FLOW SIMULATIONS
BROWN, DL
MINION, ML
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 122 (01) : 165 - 183
[9] CANUTO C, 1988, MATH COMPUT, V51, P615, DOI 10.1090/S0025-5718-1988-0930226-2
[10] Stabilized spectral methods for the Navier-Stokes equations: residual-free bubbles and preconditioning
Canuto, C
Russo, A
van Kemenade, V
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 166 (1-2) : 65 - 83

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