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An essentially non‐oscillatory Crank–Nicolson procedure for incompressible Navier–Stokes equations
Author(s) -
Cho ChungKi,
Kim Seongjai
Publication year - 2008
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.1587
Subject(s) - navier–stokes equations , mathematics , crank–nicolson method , discretization , dissipative system , upwind scheme , compressibility , finite volume method , reynolds number , pressure correction method , computational fluid dynamics , mathematical analysis , physics , mechanics , quantum mechanics , turbulence
This article introduces an essentially non‐oscillatory Crank–Nicolson (ENO‐CN) scheme for the numerical solution of unsteady incompressible Navier–Stokes (NS) equations. ENO‐CN utilizes the second‐order upwind ENO scheme for the approximation of the convection term in the explicit step, while everything else is discretized by the central finite volume method. It has been numerically verified for NS equations in 2D that the resulting algorithm is non‐oscillatory for a large range of Reynolds numbers and less dissipative than the conventional upwind methods and deferred correction methods. The new approach can be extended for 3D problems straightforwardly. Copyright © 2007 John Wiley & Sons, Ltd.