Premium
A finite volume method for viscous incompressible flows using a consistent flux reconstruction scheme
Author(s) -
Roy A.,
Bandyopadhyay G.
Publication year - 2006
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.1180
Subject(s) - solver , curvilinear coordinates , finite volume method , momentum (technical analysis) , compressibility , mathematics , projection method , navier–stokes equations , incompressible flow , unstructured grid , computational fluid dynamics , flow (mathematics) , pressure correction method , grid , reynolds number , mathematical analysis , geometry , mechanics , physics , mathematical optimization , turbulence , grating , finance , economics
An incompressible Navier–Stokes solver using curvilinear body‐fitted collocated grid has been developed to solve unconfined flow past arbitrary two‐dimensional body geometries. In this solver, the full Navier–Stokes equations have been solved numerically in the physical plane itself without using any transformation to the computational plane. For the proper coupling of pressure and velocity field on collocated grid, a new scheme, designated ‘consistent flux reconstruction’ (CFR) scheme, has been developed. In this scheme, the cell face centre velocities are obtained explicitly by solving the momentum equations at the centre of the cell faces. The velocities at the cell centres are also updated explicitly by solving the momentum equations at the cell centres. By resorting to such a fully explicit treatment considerable simplification has been achieved compared to earlier approaches. In the present investigation the solver has been applied to unconfined flow past a square cylinder at zero and non‐zero incidence at low and moderate Reynolds numbers and reasonably good agreement has been obtained with results available from literature. Copyright © 2006 John Wiley & Sons, Ltd.