不可压缩流动的非结构网格自适应方法研究  

Research on Unstructured Mesh Adaptive Method for Incompressible Flows

作　　者：姜晓坤 李廷秋[1] JIANG Xiaokun;LI Tingqiu(School ofTransportation,Wuhan University of Technology,Wuhan 430063,China)

机构地区：[1]武汉理工大学交通学院,武汉430063

出　　处：《武汉理工大学学报（交通科学与工程版）》2018年第5期836-840,共5页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：国家自然科学基金项目(51579196);国家自然科学基金重点国际合作研究项目(51720105011);领域基金重点课题(6140207010116QT69001)资助

摘　　要：利用一致分裂格式无分裂误差的特性,简化了误差表达,构建一种新的误差估计自适应方法.在验证有限元一致分裂格式数值精度的基础上,对不可压缩绕流问题进行数值求解.通过圆柱/方形体绕流自适应算例观察到:网格加密比率、最大加密迭代次数,以及初始网格密度对流场数值精度影响较小,而不同受力构建的目标函数对数值精度影响较大,且对不同的流场有一定差异性.比较了一致分裂格式与压力修正类分裂格式在自适应计算中的精度与计算效率,该分裂格式具有无修正误差、计算精度高等优点.Based on no splitting error of consistent splitting scheme, a new error-estimated adaptive mesh method was constructed. with simplified error term. On the basis of verifying the numerical accuracy of the finite element uniform splitting scheme, the incompressible flow around the body was numerically solved. Through the adaptive calculation example of the flow around a cylinder/square body, it is observed that the mesh encryption ratio, the maximum number of encryption iterations and the initial mesh density have little influence on the numerical accuracy of the flow field, while the objective functions constructed by different forces have great influence on the numerical accuracy and have certain differences on different flow fields. Finally,the accuracy and calculation efficiency of the consistent splitting scheme and the pressure correction splitting scheme in adaptive calculation were compared. The splitting scheme has the advantages of no correction error and high calculation accuracy.

关 键 词：自适应有限元 一致分裂格式 误差指示器 不可压缩流动 非结构网格 

分 类 号：N945[自然科学总论—系统科学]