A Modified Numerical Method for Arbitrary Mach Number Flows Based on the Preconditioning Technique
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摘要: 针对原可压缩流动求解器不能用于低速不可压缩流动预测的缺点,采用预处理技术对控制方程特征系统、隐式求解方法进行修正,并采用预处理修正的AUSM+up格式离散对流项.采用修正后的求解器对无粘鼓包流动、顶盖驱动粘性方腔流动以及Laval(拉瓦尔)喷管流动等算例进行数值仿真,并将数值仿真结果与基准解进行对比.结果表明将预处理技术应用于全速域流动问题的求解是可行的,经预处理修正后的求解器能够用于低速、亚音速、跨音速以及超音速流动问题的求解.Abstract: The preconditioning technique was applied to modify the existent LU-SGS solver for compressible flows, which was unsuitable for the prediction of low-speed incompressible flows. The preconditioning modification included treatment of the eigen system of the governing equations, improvement of the implicit solving method and discretization of the convection terms with the low-diffusion difference scheme and the AUSM+-up scheme. The modified solver was applied to numerical simulations of inviscid bump flows, lid-driven square cavity viscous flows and Laval nozzle flows. The comparison between the present results and those in the previous literatures proves the feasibility of the preconditioning-modified numerical method in the simulation of arbitrary Mach number flows, including the low-speed, the subsonic, the transonic and the supersonic invicid or viscous flows.
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