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首页> 外文期刊>Applied mathematics and computation >The Jameson's numerical method for solving the incompressible viscous and inviscid flows by means of artificial compressibility and preconditioning method
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The Jameson's numerical method for solving the incompressible viscous and inviscid flows by means of artificial compressibility and preconditioning method

机译：用人工可压缩性和预处理方法求解不可压缩粘性和非粘性流的詹姆森数值方法

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摘要

A computational code is developed using cell-centered finite volume method with a non-uniform grid for solving the incompressible viscous and inviscid flows. The method has been used to determine the steady incompressible inviscid flows past a cylinder in free stream, the steady incompressible inviscid flows past a circular bump through a channel, and also the steady incompressible viscous flows past a backward facing-step. In this method, the 2D Navier-Stokes equations (or 2D incompressible Euler equations for inviscid flow), which are modified by artificial compressibility and preconditioning concepts, are solved with the Jameson's artificial dissipation and viscosity terms under the form of a fourth-and second-order x-derivative, respectively. An explicit fourth-order Runge-Kutta integration algorithm is applied to find the steady state condition. The effects of CFL number, artificial viscosity coefficient, and pseudo-compressibility parameter in convergence of solution are investigated.
机译：使用以非均匀网格为单元的有限体积方法开发了计算代码，用于解决不可压缩的粘性和非粘性流。该方法已被用于确定自由流中经过圆柱体的稳定不可压缩的无粘性流，通过通道经过圆形凸点的稳定不可压缩的无粘性流以及经过后向面对步骤的稳定不可压缩的粘性流。在这种方法中，通过詹姆逊的人工耗散和黏度项在第四和第二形式下求解了由人工可压缩性和预处理概念修改的二维Navier-Stokes方程（或用于粘性流的二维不可压缩的Euler方程）。阶x导数。应用显式四阶Runge-Kutta积分算法来找到稳态条件。研究了CFL数，人工粘度系数和拟压缩性参数对溶液收敛性的影响。

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