Topology optimization of large scale stokes flow problems

被引:113
作者
Aage, Niels [2 ]
Poulsen, Thomas H. [2 ]
Gersborg-Hansen, Allan [1 ]
Sigmund, Ole [2 ]
机构
[1] Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark
[2] Tech Univ Denmark, Dept Mech Engn, DK-2800 Lyngby, Denmark
关键词
topology optimization; Stokes flow; mixed FEM; parallel computing; direct solver;
D O I
10.1007/s00158-007-0128-0
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This note considers topology optimization of large scale 2D and 3D Stokes flow problems using parallel computations. We solve problems with up to 1,125,000 elements in 2D and 128,000 elements in 3D on a shared memory computer consisting of Sun UltraSparc IV CPUs.
引用
收藏
页码:175 / 180
页数:6
相关论文
共 12 条
[1]   Topology optimization of fluids in Stokes flow [J].
Borrvall, T ;
Petersson, J .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2003, 41 (01) :77-107
[2]   Topology optimization of slightly compressible fluids [J].
Evgrafov, A .
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2006, 86 (01) :46-62
[3]   Topology optimization of channel flow problems [J].
Gersborg-Hansen, A ;
Sigmund, O ;
Haber, RB .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2005, 30 (03) :181-192
[4]  
Gersborg-Hansen A, 2006, SOLID MECH APPL, V137, P365
[5]   Design of maximum permeability material structures [J].
Guest, James K. ;
Prevost, Jean H. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (4-6) :1006-1017
[6]   Topology optimization of creeping fluid flows using a Darcy-Stokes finite element [J].
Guest, JK ;
Prévost, JH .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2006, 66 (03) :461-484
[7]  
OTHMER C, 2006, VDI BER, V1967, P61
[8]   OPTIMUM PROFILES IN STOKES FLOW [J].
PIRONNEAU, O .
JOURNAL OF FLUID MECHANICS, 1973, 59 (JUN5) :117-128
[9]   OPTIMUM DESIGN IN FLUID MECHANICS [J].
PIRONNEAU, O .
JOURNAL OF FLUID MECHANICS, 1974, 64 (JUN3) :97-110
[10]   Topology optimization using a mixed formulation: An alternative way to solve pressure load problems [J].
Sigmund, O. ;
Clausen, P. M. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (13-16) :1874-1889