具有非线性滑移边界条件的Navier-Stokes方程的子网格稳定方法

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2021-10-28 DOI:10.3846/mma.2021.12299

X. Dai, Chengwei Zhang

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引用次数: 0

摘要

本文考虑了具有非线性滑移边界条件和高雷诺数的Navier-Stokes方程的亚网格稳定Oseen迭代法。我们在此稳定性算法的基础上提供了一级和二级方案。两级方案包括通过m次osee迭代求解亚网格稳定的非线性粗网格不等式系统，以及在细网格上不稳定的标准一步牛顿线性化问题。我们分析了该算法的稳定性，并提供了误差估计和参数缩放。数值算例验证了理论结果。

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A subgrid stabilized method for Navier-Stokes equations with nonlinear slip boundary conditions

In this paper, we consider a subgrid stabilized Oseen iterative method for the Navier-Stokes equations with nonlinear slip boundary conditions and high Reynolds number. We provide one-level and two-level schemes based on this stability algorithm. The two-level schemes involve solving a subgrid stabilized nonlinear coarse mesh inequality system by applying m Oseen iterations, and a standard one-step Newton linearization problems without stabilization on the fine mesh. We analyze the stability of the proposed algorithm and provide error estimates and parameter scalings. Numerical examples are given to confirm our theoretical findings.

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