The method of Moser, Moin, and Leonard (1983) for the approximation of the three-dimensional Navier-Stokes equations using divergence-free subspaces is revisited and analyzed. It is shown that the computed velocity field converges to the physical one with spectral accuracy. Moreover, a method for recovering the pressure field is proposed. This method is stable and provides a pressure that converges to the physical one with spectral accuracy.

Spectral approximations of the Stokes problem by divergence-free functions

QUARTERONI, ALFIO MARIA;
1987

Abstract

The method of Moser, Moin, and Leonard (1983) for the approximation of the three-dimensional Navier-Stokes equations using divergence-free subspaces is revisited and analyzed. It is shown that the computed velocity field converges to the physical one with spectral accuracy. Moreover, a method for recovering the pressure field is proposed. This method is stable and provides a pressure that converges to the physical one with spectral accuracy.
Stokes equations - spectral approximations - Moser; Moin; Leonard method - divergence-free subspaces
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/669757
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