Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids

Xiaoli Li and Hongxing Rui

Applied Mathematics and Computation, 2019, vol. 342, issue C, 94-111

Abstract: In this paper, we establish the LBB condition and stability for both velocity and pressure of characteristic MAC scheme for the Oseen equations on non-uniform grids. We obtain the second order convergence in discrete L2 norm for both velocity and pressure and the first order convergence in discrete H1 norm for velocity. Moreover, we construct the post-processing characteristic MAC scheme to obtain second order accuracy in discrete H1 norm for the velocity. Finally, some numerical experiments are presented to show the correctness and accuracy of the MAC scheme.

Keywords: Characteristic MAC scheme; Stability; Oseen equations; Post-processing; Non-uniform grids (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:342:y:2019:i:c:p:94-111

DOI: 10.1016/j.amc.2018.08.048

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