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Applied Shape Optimization for Fluids$
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Bijan Mohammadi and Olivier Pironneau

Print publication date: 2009

Print ISBN-13: 9780199546909

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199546909.001.0001

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Topological optimization for fluids

Topological optimization for fluids

Chapter:
(p.263) 13 Topological optimization for fluids
Source:
Applied Shape Optimization for Fluids
Author(s):

Bijan Mohammadi

Olivier Pironneau

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199546909.003.0013

This chapter describes topological optimization for some academic applications. It begins with the derivation of a Dirichlet boundary condition on a shrinking hole. It shows how the problem can be solved by penalty and discusses the related convergence issues. The application to fluids is discussed for the incompressible Navier–Stokes equations and the method is applied to the design of multi-branch channels.

Keywords:   topological optimization, convergence issues, multi-branch channels, penalty

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