Year: 2022
CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 1 : pp. 57–81
Abstract
We develop in this paper efficient numerical schemes for solving the micropolar Navier-Stokes equations by combining the SAV approach and pressure-correction method. Our first- and second-order semi-discrete schemes enjoy remarkable properties such as (i) unconditional energy stability with a modified energy, and (ii) only a sequence of decoupled linear equations with constant coefficients need to be solved at each time step. We also construct fully discrete versions of these schemes with a special spectral discretization which preserve the essential properties of the semi-discrete schemes. Numerical experiments are presented to validate the proposed schemes.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/csiam-am.SO-2021-0008
CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 1 : pp. 57–81
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Micropolar Navier-Stokes pressure-correction scalar auxiliary variable energy stability.