用高阶隐式矢通量分裂格式求解平面叶栅的跨音流动

NUMERICAL SIMULATIONS OF PLANE TRANSONIC CASCADE FLOWS BY HIGHER IMPLICIT FLUX VECTOR SPLITTING METHOD

本文应用高阶隐式矢通量分裂法直接求解Reynolds平均Navier－Stokes方程组。该方法避开了近似因子分解及矩阵运算，具有精度高、稳定性好、计算量少等优点。在平面叶栅跨音流场的计算中，较好地捕获了激波，与实验比较，结果令人满意。

In the paper, Higher Implicit Flux Vector Splitting(HIFVS) is provided to solve the average Navier Stokes equations. It can avoid approximate factorization or block-bidioganal and has obvious superiority in aspects of accuracy, robutness and calculation.In the case of 2-D transonic cascade flows, shock wave exactly captured, and results are satisfied.