Topology optimization of fluids in Stokes flow

We consider topology optimization of fluids in Stokes flow. The design objective is to minimize a power function, which for the absence of body fluid forces is the dissipated power in the fluid, subject to a fluid volume constraint. A generalized Stokes problem is derived that is used as a base for...

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Vydané v:International journal for numerical methods in fluids Ročník 41; číslo 1; s. 77 - 107
Hlavní autori: Borrvall, Thomas, Petersson, Joakim
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Chichester, UK John Wiley & Sons, Ltd 10.01.2003
Wiley
Predmet:
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar flows
Low-reynolds-number (creeping) flows
Physics
TECHNOLOGY
TEKNIKVETENSKAP
Geometrical shape
Computational fluid dynamics
Digital simulation
Pipe bend
Conjugate gradient methods
Topology
Optimization
Optimal design
Finite element method
Diffusers
Branching pipe
Numerical convergence
Stokes flow
ISSN:0271-2091, 1097-0363, 1097-0363
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Shrnutí:We consider topology optimization of fluids in Stokes flow. The design objective is to minimize a power function, which for the absence of body fluid forces is the dissipated power in the fluid, subject to a fluid volume constraint. A generalized Stokes problem is derived that is used as a base for introducing the design parameterization. Mathematical proofs of existence of optimal solutions and convergence of discretized solutions are given and it is concluded that no regularization of the optimization problem is needed. The discretized state problem is a mixed finite element problem that is solved by a preconditioned conjugate gradient method and the design optimization problem is solved using sequential separable and convex programming. Several numerical examples are presented that illustrate this new methodology and the results are compared to results obtained in the context of shape optimization of fluids. Copyright © 2003 John Wiley & Sons, Ltd.
Bibliografia:ArticleID:FLD426
Centre for Industrial Information Technology
istex:01CFF28345AF2D7717D9342688F0DA96FE840F84
National Graduate School in Scientific Computing
ark:/67375/WNG-9RGW14LV-0
National Network in Applied Mathematics
Swedish Research Council
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0271-2091
1097-0363
1097-0363
DOI:10.1002/fld.426