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.
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Pasquarelli, F., Quarteroni, A. & Sacchi-Landriani, G. Spectral approximations of the Stokes problem by divergence-free functions. J Sci Comput 2, 195–226 (1987). https://doi.org/10.1007/BF01061110
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DOI: https://doi.org/10.1007/BF01061110