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Combination of adaptive grid‐embedding and equation adaptation methods for compressible viscous flows
Author(s) -
Mirjalily S. A. A.,
Ameri M.
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1199
Subject(s) - embedding , grid , computation , euler equations , macro , flow (mathematics) , adaptation (eye) , computer science , compressibility , compressible flow , mathematics , mathematical optimization , computational science , mathematical analysis , mechanics , algorithm , geometry , physics , artificial intelligence , optics , programming language
Various adaptation techniques for the computation of viscous flows have been employed. This work describes the combination of adaptive grid‐embedding and equation adaptation methods on semi‐structured grids for compressible viscous flows. In this combination, Navier–Stokes equations are solved within appreciably viscous macro‐cells, whereas for the remaining macro‐cells the equations are reduced to the Euler equations. Meanwhile, subdividing is used in macro‐cells from the beginning of the adaptation procedure without any restriction. This combination is used to solve three internal and external flow model problems. The combination of adaptive grid‐embedding and equation adaptation is complex, but it is shown in this paper that it is efficient and worth to be used in CPU time‐ and memory space‐consuming problems. Copyright © 2008 John Wiley & Sons, Ltd.