亚、跨、超音速及不可压流动的数值分析方法的研究

为了对亚、跨、超音速及不可压无粘流动进行数值模拟，将LU－SGS方法与预处理方法结合，给出了PLU－SGS方法。方程离散基于有限体积法，采用高阶精度AUSMPW格式。方程求解采用了特征边界条件。通过典型算例的数值试验对比分析，表明PLU－SGS方法可以有效地对亚、跨、超音速及不可压流动进行数值模拟，并具有较高的计算精度和收敛速度。

Numerical simulation of compressible and incompressible flows

A computational method is developed in order to calculate compressible and incompressible flows by using implicit time marching method. The equations are preconditioned to permit solution of both compressible and incompressible flows. A cellbased, finite volume discretization is used in conjunction with AUSMPW scheme. Characteristic boundary conditions based on the eigensystem of the preconditioned equations are employed. Computational capabilities are demonstrated through computation of a wide variety of problems. Comparison of the calculations with available numerical data shows that the method is accurate, self-adaptive and stable for a wide range of Mach numbers.