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首页> 外文期刊>Journal of Applied Mathematics and Physics >A Comparison between the Reduced Differential Transform Method and Perturbation-Iteration Algorithm for Solving Two-Dimensional Unsteady Incompressible Navier-Stokes Equations
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A Comparison between the Reduced Differential Transform Method and Perturbation-Iteration Algorithm for Solving Two-Dimensional Unsteady Incompressible Navier-Stokes Equations

机译：求解二维非定常不可压缩Navier-Stokes方程的简化差分变换方法与微扰迭代算法的比较

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摘要

In this work, approximate analytical solutions to the lid-driven square cavity flow problem, which satisfied two-dimensional unsteady incompressible Navier-Stokes equations, are presented using the kinetically reduced local Navier-Stokes equations. Reduced differential transform method and perturbation-iteration algorithm are applied to solve this problem. The convergence analysis was discussed for both methods. The numerical results of both methods are given at some Reynolds numbers and low Mach numbers, and compared with results of earlier studies in the review of the literatures. These two methods are easy and fast to implement, and the results are close to each other and other numerical results, so it can be said that these methods are useful in finding approximate analytical solutions to the unsteady incompressible flow problems at low Mach numbers.
机译：在这项工作中，使用动力学简化的局部Navier-Stokes方程，给出了满足二维非定常不可压缩Navier-Stokes方程的盖子驱动方腔流动问题的近似解析解。解决了该问题，采用了简化的差分变换方法和摄动迭代算法。讨论了两种方法的收敛性分析。两种方法的数值结果都是在一定的雷诺数和低马赫数下给出的，并与文献综述中的早期研究结果进行了比较。这两种方法易于实现且快速，结果彼此接近，且与其他数值结果相近，因此可以说这两种方法对于寻找低马赫数下的非定常不可压缩流动问题的近似解析解很有用。

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