Projection method III: Spatial discretization on the staggered grid
- 14 May 2001
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 71 (237) , 27-48
- https://doi.org/10.1090/s0025-5718-01-01313-8
Abstract
In E & Liu (SIAM J Numer. Anal., 1995), we studied convergence and the structure of the error for several projection methods when the spatial variable was kept continuous (we call this the semi-discrete case). In this paper, we address similar questions for the fully discrete case when the spatial variables are discretized using a staggered grid. We prove that the numerical solution in velocity has full accuracy up to the boundary, despite the fact that there are numerical boundary layers present in the semi-discrete solutions.Keywords
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