叶栅可压缩流场的数值分析

NUMERICAL SIMULATIONS OF COMPRESSIBLE FLOW IN CASCADE

将一维ＡＵＳＭ+格式与三阶精度ＭＵＳＣＬ格式融合，给出了其在任意曲线坐标下的二维形式，采用有限体积法，将ＡＵＳＭ＋格式与Ｒｕｎｇｅ－Ｋｕｔｔａ格式结合，对叶栅可压缩流场进行了数值模拟．典型算例的计算结果与有关文献结果相符很好，表明ＲＫ－ＡＵＳＭ＋混合格式对叶栅可压缩流场进行数值模拟是可行的．

in this paper, an AUSM+ scheme in conjunction with the third-order MUSCL scheme is developed for the multidimensional hyperbolic conservation laws in curvilinear coordinates. The presentscheme combined with the Runge-Kutta scheme isapplied to Two-dimensional transonic and supersonic inviscid flow in the cascade built of two circulararc blades. The accuracy has been assessed by comparing the results with the other numerical resultsavailable in literature. The results given in this paper show that the present scheme possesses obvioussuperiority with respect to convergence rate, accuracy and robustness for calculating transonic and supersonic flow fields compared with CD scheme, andthere is no any spurious oscillation near the shockwave.