This paper presents a modular Grad–Div(GD) algorithm based on Crank–Nicolson LeapFrog (CNLF) scheme for the non-stationary Navier–Stokes model, which is second-order accurate. The CNLF modular Grad–Div(CNLF-MGD) method has the obvious advantage that the computational efficiency will not crash or slow down with the large parameters. Stability and error estimate of the numerical method are given. Some numerical tests are proposed to justify the theoretical analysis.

中文翻译：

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时变Navier-Stokes方程的CNLF模块化Grad-Div稳定方法数值分析

本文针对非平稳的Navier-Stokes模型，提出了一种基于Crank-Nicolson LeapFrog（CNLF）方案的模块化Grad-Div（GD）算法，该算法是二阶精确的。CNLF模块化Grad-Div（CNLF-MGD）方法具有明显的优势，即大参数不会导致计算效率崩溃或变慢。给出了数值方法的稳定性和误差估计。提出了一些数值试验以证明理论分析的正确性。