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首页> 外文期刊>International Journal for Numerical Methods in Fluids >Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method
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Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method

机译：DQ方法对原始变量形式的三维不可压缩Navier-Stokes方程进行数值计算

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摘要

In this paper, the global method of differential quadrature (DQ) is applied to solve three-dimensional Navier-Stokes equations in primitive variable form on a non-staggered grid. Two numerical approaches were proposed in this work, which are based on the pressure correction process with DQ discretization. The essence in these approaches is the requirement that the continuity equation must be satisfied on the boundary. Meanwhile, suitable boundary condition for pressure correction equation was recommended. Through a test problem of three-dimensional driven cavity flow, the performance of two approaches was comparatively studied in terms of the accuracy. The numerical results were obtained for Reynolds numbers of 100, 200, 400 and 1000. The present results were compared well with available data in the literature. In this work, the grid-dependence study was done,and the benchmark solutions for the velocity profiles along the vertical and horizontal centrelines were given.
机译：本文采用全局差分微分法（DQ）求解非交错网格上原始变量形式的三维Navier-Stokes方程。在这项工作中提出了两种数值方法，它们是基于带有DQ离散化的压力校正过程的。这些方法的本质是必须在边界上满足连续性方程的要求。同时，推荐了适用于压力校正方程的边界条件。通过三维驱动腔流的测试问题，从准确性的角度对两种方法的性能进行了比较研究。获得了雷诺数分别为100、200、400和1000的数值结果。将这些结果与文献中的可用数据进行了很好的比较。在这项工作中，进行了网格依赖性研究，并给出了沿垂直和水平中心线的速度分布的基准解决方案。

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