一种快速稳健的并行多块结构动网格方法  

A fast and robust parallelizable moving mesh algorithm for multi-block structured grids

作　　者：黄礼铿[1] 高正红[1] 左英桃[1] 

机构地区：[1]西北工业大学翼型叶栅空气动力学国家重点实验室,西安710072

出　　处：《计算力学学报》2012年第3期363-367,392,共6页Chinese Journal of Computational Mechanics

基　　金：西北工业大学科技创新基金资助项目

摘　　要：为解决传统网格处理方法不能满足复杂外形在大设计空间内进行优化时对网格质量的要求的问题,提出了一种并行多块动网格方法,该方法基于初始外形的多块结构网格,根据优化过程中个体外形与初始外形拓扑结构相近的特性,利用体样条插值方法来拟合多块结构网格各块顶点的位移,得到几何外形变化后的拓扑结构,再利用无限插值方法并行地移动初始外形多块结构网格的边、面和块内的网格点,进行光顺处理后得到变形后几何外形的空间网格;该方法在保证网格质量的同时,可以极大地提高网格生成效率,本文以某翼身组合体为例结果表明,该方法在大设计空间的复杂外形设计问题中具有很强的实用性。A grid deformation method has been developed for the movement of multi-block, structured grids due to large surface deformation arising from complex geometry optimization in large design space, because traditional moving-mesh methods can＇t handle this kind of surface deformation. As the new ge- ometry in the optimization procedure have same topology with the origin geometry, this method uses a volume spline interpolation technique to compute the deformation of block vertices and get a new grid to- pology after surface deformation. After that, the deformation of block edges, faces and volumes is compu- ted by a modified arc-length-based one-,two-,three-dimensional transfinite interpolation （TFI） method, which is performed independently on local processors where the blocks reside. The newly deformed grid is obtained by adding the interpolated displacements to the original grid points and a smoothing operator is applied to the points of the block face boundaries and edges to maintain grid smoothness and grid an- gles. This method can greatly improve the grid generate efficiency beside retain the grid quality. Compu- tational results of a wing-body have validated this method＇s applicability for complex geometry design optimizations in large design space.

关 键 词：多块网格 动网格 体样条插值 无限插值 

分 类 号：V211[航空宇航科学与技术—航空宇航推进理论与工程] O242.21[理学—计算数学]