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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DOI：
10.4208/csiam-am.so-2021-0008
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发表时间：
2022-06
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影响因子：
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通讯作者：
Jie Shen null;Nan Zheng
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文献类型：
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作者：
Jie Shen null;Nan Zheng
本文将SAV方法与压力修正方法相结合，发展了求解微极Navier-Stokes方程的高效数值格式。我们的第一和第二阶半离散格式享有显着的属性，如（i）无条件的能量稳定与修改的能量，和（ii）只有一个序列的解耦的线性方程组与常系数需要解决在每个时间步。我们还构造了完全离散的版本，这些计划与一个特殊的谱离散保持的基本性质的半离散计划。数值实验验证了所提出的方案。AMS科目分类：65 M12、65 M70、35 Q30、76 A05
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 firstand second-order semi-discrete schemes enjoy remarkable properties such as (i) unconditional energy stable 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. AMS subject classifications: 65M12, 65M70, 35Q30, 76A05