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Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations

Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations
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Year:    2022

Author:    Jie Shen, Nan Zheng

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.

Author Details

Jie Shen

Nan Zheng

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