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An overlapping control volume method for the Navier–Stokes equations on non‐staggered grids
Author(s) -
Kumar Verma Atul,
Eswaran V.
Publication year - 1999
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/(sici)1097-0363(19990615)30:3<279::aid-fld843>3.0.co;2-i
Subject(s) - control volume , decoupling (probability) , grid , mathematics , navier–stokes equations , finite volume method , interpolation (computer graphics) , benchmark (surveying) , compressibility , steady state (chemistry) , momentum (technical analysis) , mathematical analysis , geometry , mechanics , physics , classical mechanics , engineering , geology , motion (physics) , chemistry , geodesy , finance , control engineering , economics
An algorithm, based on the overlapping control volume (OCV) method, for the solution of the steady and unsteady two‐dimensional incompressible Navier–Stokes equations in complex geometry is presented. The primitive variable formulation is solved on a non‐staggered grid arrangement. The problem of pressure–velocity decoupling is circumvented by using momentum interpolation. The accuracy and effectiveness of the method is established by solving five steady state and one unsteady test problems. The numerical solutions obtained using the technique are in good agreement with the analytical and benchmark solutions available in the literature. On uniform grids, the method gives second‐order accuracy for both diffusion‐ and convection‐dominated flows. There is little loss of accuracy on grids that are moderately non‐orthogonal. Copyright © 1999 John Wiley & Sons, Ltd.