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Hybrid wavelet collocation–Brinkman penalization method for complex geometry flows
Author(s) -
Vasilyev O. V.,
Kevlahan N. K.R.
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.307
Subject(s) - collocation (remote sensing) , wavelet , mathematics , collocation method , range (aeronautics) , simple (philosophy) , boundary (topology) , reynolds number , flow (mathematics) , mathematical analysis , geometry , computer science , turbulence , mechanics , physics , differential equation , artificial intelligence , ordinary differential equation , philosophy , materials science , epistemology , machine learning , composite material
This paper introduces the hybrid wavelet collocation–Brinkman penalization method for solving the Navier–Stokes equations in arbitrarily complex geometries. The main advantages of the wavelet collocation method and penalization techniques are described, and a brief summary of their implementation is given. The hybrid method is then applied to a simple flow around cylinders with both periodic and non‐periodic boundary conditions with Reynolds numbers in the range from 100 to 10 000 and the results are discussed. Copyright © 2002 John Wiley & Sons, Ltd.