A Zonal Approach for Navier–Stokes Computations of Compressible Cascade Flow Fields Using a TVD Finite Volume Method
A Zonal Approach for Navier–Stokes Computations of Compressible Cascade Flow Fields Using a TVD Finite Volume Method
复制标题
使用 TVD 有限体积法进行可压缩级联流场纳维-斯托克斯计算的分区方法
DOI：
10.1115/1.2929118
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发表时间：
1990
影响因子：
1.7
通讯作者：
M. Inoue
中科院分区：
文献类型：
--
作者：
M. Furukawa;M. Yamasaki;M. Inoue
本文提出了一种计算叶栅中可压缩粘性流动的分区方法。二维，雷诺平均Navier-Stokes方程离散空间的格心有限体积配方。为了使本方法的鲁棒性，在细胞界面的无粘通量进行评估，使用高精度的TVD格式的基础上的MUSCL型方法与Roe的近似黎曼求解器。粘性通量是以中心差分的方式确定的。为了简化网格生成，采用了复合分区网格系统，在该系统中，计算区域被划分为不重叠的区域，并且在每个区域中独立地生成结构化网格。两个区域之间的区域边界由一个区域的单元界面唯一地定义，这确保了区域边界的唯一性。从一个区到另一个区的通信是通过穿过纬向边界的数值通量来完成的。应该指出的是，通过使用有限体积法直接计算数值通量并确保纬向边界的唯一性，可以满足跨纬向边界的数值通量的完全守恒。为了证明本分区方法的多功能性，数值例子的粘性流通过跨音速涡轮机叶栅。
A new zonal approach for computation of compressible viscous flows in cascades has been developed. The two-dimensional, Reynolds-averaged Navier–Stokes equations are discretized spatially by a cell-centered finite volume formulation. In order to make the present approach robust, the inviscid fluxes at cell interfaces are evaluated using a highly accurate TVD scheme based on the MUSCL-type approach with the Roe’s approximate Riemann solver. The viscous fluxes are determined in a central differencing manner. To simplify the grid generation, a composite zonal grid system is adopted, in which the computational domain is divided into nonoverlapping zones, and structured grids are generated independently in each zone. The zonal boundary between two zones is uniquely defined by cell interfaces of one zone, which ensures the uniqueness of the zonal boundary. Communication from one zone to the other is accomplished by numerical fluxes across the zonal boundary. It should be noted that the complete conservation of the numerical fluxes across the zonal boundary can be satisfied by directly evaluating the numerical fluxes using the finite volume method and by ensuring the uniqueness of the zonal boundary. In order to demonstrate the versatility of the present zonal approach, numerical examples are presented for viscous flows through a transonic turbine cascade.