A high-level programming-language implementation of topology optimization applied to steady-state Navier-Stokes flow

We present a versatile high‐level programming‐language implementation of non‐linear topology optimization. Our implementation is based on the commercial software package FEMLAB, and it allows a wide range of optimization objectives to be dealt with easily. We exemplify our method by studies of stead...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 65; no. 7; pp. 975 - 1001
Main Authors: Olesen, Laurits Højgaard, Okkels, Fridolin, Bruus, Henrik
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 12.02.2006
Wiley
Subjects:
Computational fluid dynamics
Computational techniques
Exact sciences and technology
FEMLAB
Fluid dynamics
Fluid flow
Fluids
Fundamental areas of phenomenology (including applications)
General theory
inertial effects
INT
Mathematical methods in physics
Mathematical models
Navier-Stokes equations
Navier-Stokes flow
Optimization
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Topology optimization
Geometrical shape
Stokes problem
Steady flow
Non linear programming
Topology
Steady state
Optimization
Incompressible flow
Navier-Stokes flow
Programming language
Navier Stokes equation
topology optimization
FEMLAB
inertial effects
Stokes flow
ISSN:0029-5981, 1097-0207
Online Access:Get full text
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Summary:We present a versatile high‐level programming‐language implementation of non‐linear topology optimization. Our implementation is based on the commercial software package FEMLAB, and it allows a wide range of optimization objectives to be dealt with easily. We exemplify our method by studies of steady‐state Navier–Stokes flow problems, thus extending the work by Borrvall and Petersson on topology optimization of fluids in Stokes flow (Int. J. Num. Meth. Fluids 2003; 41:77–107). We analyse the physical aspects of the solutions and how they are affected by different parameters of the optimization algorithm. A complete example of our implementation is included as FEMLAB code in an appendix. Copyright © 2005 John Wiley & Sons, Ltd.
Bibliography:ArticleID:NME1468
The Danish Technical Research Council - No. 26-03-0037
istex:117505E2493AF34C34D233B8BD0EF16AFE92F385
ark:/67375/WNG-C2F9Q2F9-M
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1468