三维Euler方程自适应八叉树结构各向异性直角网格算法

采用各向异性直角网格对相应的三维复杂流场进行了模拟 ,提出了物面三角化方法及网格与物面的相交判断过程。用以中心差分为基础的 Jameson的有限体积法对 Euler方程进行求解。计算结果表明 ,各向异性直角网格算法对相应流场进行模拟 ,计算时间较短而效果较好

ADAPTIVE OCTREE ANISOTROPIC CARTESIAN MESH SOLVER FOR 3-D EULER EQUATIONS

Original Cartesian Mesh can improve the efficiency of the simulation of flow field, especially for complex geometry. But since the square mesh forms the original Cartesian mesh and every cell has the same width and length, this method can not simulate special flow field with anisotropic properties efficiently and with full adaptivity. In this paper, an adaptive octree anisotropic Cartesian mesh approach is presented to simulate the flow field of complex geometry. In this Cartesian mesh method, a way to determine intersection between cell and surface is provided. For some special cases, this kind of anisotropic grid can be applied to reduce the amount of computational work. To simulate the flow field, a generalized Euler solver with Jameson's finite volume scheme is used. Application of this Cartesian mesh method to simulate the flow field about M6 wing was performed. Results show that the computation can well agree with the experimental data and this method can produce better efforts and cost less time.