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A spectral method with staggered grid for incompressible Navier‐Stokes equations
Author(s) -
MontignyRannou F.,
Morchoisne Y.
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.1650070206
Subject(s) - navier–stokes equations , compressibility , pressure correction method , grid , mathematics , spectral method , computational fluid dynamics , iterative method , incompressible flow , unstructured grid , mathematical analysis , mathematical optimization , physics , mechanics , geometry
In order to solve the Navier‐Stokes equations by spectral methods, we develop an algorithm using a staggered grid to compute the pressure. On this grid, an iterative process based on an artificial compressibility matrix associates the pressure with the continuity equation. This method is very accurate and avoids naturally most of the effects of parasite modes appearing in classical spectral methods with a velocity—pressure formulation.