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Hydrodynamic stability control in CFD by shape optimization
Author(s) -
Heuveline Vincent,
Strauß Frank
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700536
Subject(s) - stability (learning theory) , context (archaeology) , drag , shape optimization , eigenvalues and eigenvectors , computational fluid dynamics , computer science , scheme (mathematics) , mathematical optimization , mathematics , control (management) , control theory (sociology) , mechanics , engineering , physics , geology , structural engineering , mathematical analysis , finite element method , artificial intelligence , paleontology , quantum mechanics , machine learning
We propose a numerical scheme which aims at solving shape optimization problems in the context of hydrodynamic stability. It is the goal to minimize the drag and ensure hydrodynamic stability by modification of parts of the underlying geometry. The stability issues are represented by eigenvalue constraints. Numerical results for a test case show that a transition from an unstable design into a stable one is attainable by considering an adequate change of the geometry. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)