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A multigrid finite difference approach to steady flow between eccentric rotating cylinders
Author(s) -
Chou MoHong
Publication year - 2000
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 - 10.1002/1097-0363(20001130)34:6<479::aid-fld65>3.0.co;2-v
Subject(s) - multigrid method , mathematics , convergence (economics) , flow (mathematics) , finite difference method , finite difference , reynolds number , mathematical analysis , mechanics , geometry , partial differential equation , physics , turbulence , economics , economic growth
A simple finite difference scheme over a non‐uniform grid is proposed to solve the two‐dimensional, steady Navier–Stokes equations. Instead of the Newton method, a more straightforward line search algorithm is used to solve the resultant system of non‐linear equations. By adopting the multigrid methodology, a fast convergence is achieved, at least for low‐Reynolds number flow. This scheme is applied, in particular, to flow between eccentric rotating cylinders. The computed results are shown in good agreement with some analytic findings. Copyright © 2000 John Wiley & Sons, Ltd.