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An implicit method for the Navier–Stokes equations on overlapping block‐structured grids
Author(s) -
Ahusborde E.,
Glockner S.
Publication year - 2009
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.2044
Subject(s) - polygon mesh , discontinuity (linguistics) , block (permutation group theory) , navier–stokes equations , constraint (computer aided design) , domain (mathematical analysis) , conservation of mass , computer science , mathematics , computational fluid dynamics , matching (statistics) , algorithm , mathematical optimization , mathematical analysis , geometry , mechanics , physics , compressibility , statistics
This paper deals with a method first introduced by Romé et al . in two articles. The authors reported that their method was suitable to run the Navier–Stokes equations efficiently on non‐matching and overlapping block‐structured meshes. However, there was a problem of mass conservation and a discontinuity of pressure through the interfaces in some cases. In the present paper, an improvement of the method based on a pressure correction scheme is proposed. With this improvement, the pressure is continuous through the interfaces and the incompressibility constraint is ensured over the whole domain. Several numerical tests were carried out to assess the proposed method. Copyright © 2009 John Wiley & Sons, Ltd.