基于复合叉树的自适应笛卡尔网格应用研究

采用复合叉树自适应笛卡尔网格和有限体积法求解三维Euler方程,在网格生成过程中,以模型几何外形、模型表面曲率为基础,构建了基于复合叉树的网格生成和加密方法。在流场计算过程中,又针对流场变化特征,建立了基于复合叉树的网格各向异性拆分模式,同时采用以中心差分为基础的Jameson有限体积法。通过对M6机翼在跨音速情况下的数值仿真,表明计算结果与风洞实验结果符合良好,同时也表明本算法具有高分辨率、节省机时,提高计算效率等特点。

Adaptive Cartesian Grid Based on An Omni-tree

The method for adaptive Cartesian grid basd on an omnitree and finite volume method of the Euler equation is presented.Compared with an Octree structure,the Omni-tree structure supports anisotropic grid adaptations in any of the coordinate directions in an arbitrary manner.The Cartesian grid is generated according to geometric and the body curvature,and the solution is converged to a steady state by the Jameson's finite volume solver,the solution-adaptive refinement of mesh is applied to resolve high-gradient regions of the flow.The extentive simulations are carried out for pratical flow fields of M6 wing.The computational results coincide with the experiment data well.