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Adjoint shape optimization for steady free‐surface flows
Author(s) -
van Brummelen E. H.,
Segal A.
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.305
Subject(s) - shape optimization , convergence (economics) , free surface , surface (topology) , bounded function , boundary (topology) , flow (mathematics) , obstacle , mathematics , work (physics) , boundary value problem , obstacle problem , open channel flow , adjoint equation , mathematical optimization , mechanics , mathematical analysis , geometry , finite element method , physics , partial differential equation , mechanical engineering , engineering , political science , law , economics , thermodynamics , economic growth
Numerical solution of flows that are partially bounded by a freely moving boundary is of great importance in practical applications such as ship hydrodynamics. Free boundary problems can be reformulated into optimal shape design problems, which can in principle be solved efficiently by the adjoint method. This work examines the suitability of the adjoint shape optimization method for solving steady free‐surface flows. It is shown that preconditioning is imperative to avoid mesh‐width dependence of the convergence behaviour. Numerical results are presented for 2D flow over an obstacle in a channel. Copyright © 2002 John Wiley & Sons, Ltd.