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Resolution of the Navier–Stokes equations on block‐structured meshes
Author(s) -
Romé C.,
Glockner S.,
Caltagirone J. P.
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.1439
Subject(s) - polygon mesh , curvilinear coordinates , laminar flow , navier–stokes equations , convergence (economics) , block (permutation group theory) , computational fluid dynamics , mathematics , computer science , resolution (logic) , algorithm , matching (statistics) , geometry , mathematical optimization , physics , artificial intelligence , mechanics , compressibility , economics , economic growth , statistics
We propose a non‐iterative method to connect non‐matching block‐structured meshes applied to the resolution of the Navier–Stokes equations. The present article gives a complete description of the method based on the implicit treatment of the connecting condition. We also extend it to curvilinear meshes. The spatial convergence order of the method is shown to be two and the approach is validated on different 2D laminar flows frequently found in the literature. Copyright © 2007 John Wiley & Sons, Ltd.