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Fast finite difference solution for steady‐state Navier‐Stokes equations using the BID method
Author(s) -
Mittal R. C.,
Sharma P. K.
Publication year - 1987
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.1650070903
Subject(s) - biharmonic equation , solver , mathematics , navier–stokes equations , boundary value problem , mathematical analysis , rate of convergence , conjugate gradient method , reynolds number , stream function , convergence (economics) , vorticity , mathematical optimization , physics , mechanics , computer science , vortex , channel (broadcasting) , computer network , compressibility , turbulence , economics , economic growth
A first biharmonic boundary value problem is obtained by combining the coupled steady‐state Navier‐Stokes equations in their stream‐function‐vorticity formulation. This biharmonic boundary value problem is solved by a fast biharmonic solver developed by the authors wherein the idea of preconditioned conjugate gradient method is used. The biharmonic driver (BID) method using this solver has been found fast converging, and produces accurate results up to moderately large Reynolds numbers. Also, the mesh size does not affect the convergence rate.