非定常微极流体方程的一阶算子分裂方法

Abstract

Abstract:

This paper discusses the first-order operator splitting method for 2D/3D unsteady micropolar fluid equations. The method is discretized by the first-order Euler scheme in the time direction and the coordinated finite element method in the space direction. The unconditional stability and error estimation of the first-order semi-discrete operator splitting method are given, and the corresponding fully discrete scheme is proposed. The unconditional stability conclusion of the first-order fully discrete scheme is proved. Finally, the accuracy and effectiveness of the method are verified by numerical examples.

Key words: microscale fluid equations, operator splitting method, finite element method, stability analysis, error estimation

CLC Number:

Aosiman Anikezi. First-Order Operator Splitting Method for Unsteady Micropolar Fluid Equations[J].Acta mathematica scientia,Series A, 2026, 46(6): 2264-2276.

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First-Order Operator Splitting Method for Unsteady Micropolar Fluid Equations

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