平面叶栅跨音流场气动特性的数值研究

通过对模型方程的分析，给出了一种新的隐格式构造思想。将它运用到关通量分裂格式中，可得到无近似因子分解、无矩阵运算的高效二阶精度隐式矢通量分裂差分格式，并用来直接求解时间平均Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程组。数值计算标明：该方法具有精度高、稳定性好、计算量少、收敛快等优点，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。

Numerical Study on Aerodynamic Characteristics of Transonic Cascade Flow

The new idea of making implicit scheme is developed on the basis of analyzing model equation inthis paper. By putting the above idea into Flux Vector Splitting, an Implicit Flux Vector Splitting(IFVS), which can avoid approximate factorization or block-bidiagonal, is provided to solve the timeaverage Navier-Stokes equations. A single-step three-node upwind difference scheme for vector fluxand central difference approximation for viscous terms are adapted.As a result,IFVS has no two-or-der numerical dissipation or artificial dissipation.It has obvious superiority in aspects of accuracy, robustness and little calculation.In the case of two-dimensional transonic cascade flows, shock wave exactly captured,and results are satisfied.