Chapter

Topological optimization for fluids

Bijan Mohammadi and Olivier Pironneau

in Applied Shape Optimization for Fluids

Second edition

Published in print September 2009 | ISBN: 9780199546909
Published online February 2010 | e-ISBN: 9780191720482 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199546909.003.0013

Series: Numerical Mathematics and Scientific Computation

 Topological optimization for fluids

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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

Chapter.  2230 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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