非结构网格生成方法的改进及气膜冷却三维静子流场的求解

讨论五面体网格下 ,涡轮静子叶片含多排冷却孔时三维粘性流场雷诺平均 Navier-Stokes方程组的数值求解问题。考虑到叶片含多排冷却孔的工程背景 ,本文发展了生成五面体非结构网格的快速有效方法即仅在一个拟 S1面上生成非结构网格 ,而沿叶高方向仍采用结构网格的生成办法。文中还采用了新的网格优化措施以改善生成网格的质量。流场的计算采用了非结构网格下的高分辨率迎风格式。几个典型算例表明 :本文发展的网格生成方法快速有效 ,而且网格生成质量较高 ;发展的计算格式能够获得较为满意的三维流场数值解 ,并具有较高的激波分辨率。

Improvement for Unstructured Grid Generation and Calculations of Three-Dimensional Turbulent Flow around Turbine Stator Blade Rows with Film Cooling

WT5BZ]The generation of prismatic unstructured grid for complex 3 D geometries and the application of a new high resolution algorithm for the unstructured grids have been developed in consideration of the engineering background.The unstructured grids are generated on one given S 1 surface (i.e.a surface of constant x 3 in a three dimensional curved coordinate ( x 1,x 2,x 3),while the grids on the other S 1 surfaces are constructed by a space mapping.The final grids obtained in this way become unstructured on S 1 surfaces and structured in x 3 direction.Therefore they are composed of pentahedrons.In the generation of the grid on the S 1 surface,the triangle elements of 0 type grid are created near the walls.By improving Bowyer Watson method,a scheme of high efficiency is developed to produce unstructured grids in the region far from the walls.The new algorithm consists of a high resolution finite volume scheme for the 3 D Navier Stokes turbulent flow equations.Spatial discretization uses a finite volume.High order Taylor series expansion is employed to march the solution in time.Spacial volume and time step weighting of the residual are employed to produce a stable scheme.A second order smoothing operator and the minmod limiter are developed for shock capturing.The operator retains its order with unstructured grids.Some typical numerical examples, including a turbine stator blade row with film cooling,demonstrate the ability of the algorithm to resolve local flow features.