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Immersed boundary conditions method for unsteady flow problems described by the Laplace operator
Author(s) -
Husain S. Z.,
Floryan J. M.
Publication year - 2007
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.1579
Subject(s) - laplace transform , operator (biology) , spectral space , mathematics , flow (mathematics) , boundary value problem , boundary (topology) , domain (mathematical analysis) , unsteady flow , spectral method , laplace's equation , mathematical analysis , space (punctuation) , laplace operator , algorithm , geometry , computer science , mechanics , physics , biochemistry , chemistry , repressor , transcription factor , pure mathematics , gene , operating system
Abstract An implicit, spectral algorithm for the analysis of unsteady flow problems governed by the Laplace operator in corrugated geometries is described. The algorithm treats the physical boundary conditions as constraints along lines internal to the solution domain. The method eliminates the need for coordinate generation and can be quickly adapted to changing geometries. Various tests confirm the spectral accuracy in space and the first‐ and second‐order accuracies in time. Copyright © 2007 John Wiley & Sons, Ltd.