Abstract

In this paper, we consider the problem of modeling viscous incompressible fluid flow using the quasi-hydrodynamic (QHD) system of equations. The use of this approach makes it possible to avoid instability in the pressure calculation when using the classical formulation of the Navier–Stokes equations, which is manifested when using cellular numerical schemes. For the numerical implementation of QHD equations, the finite volume method is used with cell-center approximation. In the case of a two-dimensional problem a square mesh is used. A cubic mesh is used in the case of a three-dimensional problem. Two series of calculations are performed for testing in areas of complex geometry for several Reynolds numbers. The results are compared with the ANSYS CFX software package. The comparison shows the high quality of the numerical simulation results using the QHD system of equations.

中文翻译：

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拟水动力方程组的不可压缩粘性流模拟

摘要

在本文中，我们考虑使用准流体力学（QHD）方程组对粘性不可压缩流体流进行建模的问题。使用Navier–Stokes方程的经典公式时，这种方法的使用可以避免压力计算中的不稳定性，这在使用元胞数值方案时很明显。对于QHD方程的数值实现，将有限体积方法与单元中心近似一起使用。在二维问题的情况下，使用正方形网格。在三维问题的情况下使用立方网格。为了在多个雷诺数的复杂几何形状的区域中进行测试，执行了两个系列的计算。将结果与ANSYS CFX软件包进行比较。