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Stability analysis of some finite difference schemes for the Navier‐Stokes equations

1978; Wiley; Volume: 12; Issue: 9 Linguagem: Inglês

10.1002/nme.1620120908

1097-0207

Alain Rigal, Georges Aleix,

Navier-Stokes equation solutions

Abstract We study the stability of two standard finite differnce schemes for the unsteady Navier‐Stokes equations. We write a scheme for small values of Reynolds number, where teh diffusion is predominant, and another one for large values of Reynolds number, where convection is predominant. The purpose of this results may be extended to unsteady problems leading to mixed hyperbolic‐parabolic partia differenctial equations.