用欧拉方程计算机翼与翼身组合体绕流

Calculation of the Flows over Wings or Wing/Body Combinations Using Euler Equations

本文用保角转绘加剪切变换生成三维机翼与翼身组合体C-H型网格,并在这类网格拓扑上,用有限体积法研制出可供分析机翼与翼身组合体绕流的三维欧拉方程计算程序。本方法的特色是改进了机翼表面网格点的分布,使机翼后缘与网格线一致;采用了当量机身,使机身表面到对称面光滑过渡;嵌入了边界层粘性修正,改善了计算结果。数值计算表明,对粘性影响较大的超临界绕流,边界层修正效果显著。

In this paper, a computing wing or wing/body grid of C-H type is generated by using an improved square root transformation with shearing. Matching with this type of grid, a computer code has been developed for analyzing the flows over wings or wing/body com-inations by using Jameson's finite volume method for 3-D Euler equations. The method presented has the feature that the wing trailing edge is aligned with the grid line through modification of the distribution of the mesh points on the wing surface and the grid lines between the fuselage and the symmetry plane connected smoothly by introducing the equivalent body.Besides, in numerical calculation, boundary layer correction has been introduced through accounting for the displacement effect, so that the computational results presented are further ameliorated, particularly for the case of supercritical flows.