科学与工程应用中自适应网格方法进展.pdfVIP

综述文章(Reviews) 科技导报 2012 ， 30(05) 针fi; 咽 科学与王程应用中自适应网格方法进展 王瑞利，刘全，吴子辉，胡晓棉 北京应用物理与计算数学研究所，北京 100094 摘要 自适应网格方法是科学与工程应用中的关键技术之一。基于拉格朗日方法计算过程中网格的处理方式，论述了稿合型和后 处理型两种自适应网格类型。在藕合型自适应网格方法下，论述了网格细化技术、移动网格和自适应坐标法。在后处理型自适应网 格方法下，描述了网格重分、邻域重连、邻域可变和邻域优化等自适应网格技术。对各种自适应网格方法的基本理论、效果、适应物 理特征能力和特色等优缺点进行了分析与对比，为使自适应网格技术真正走向科学与工程领域提供了参考。 关键诩 科学与工程应用领域;藕合型;后处理型;网格自适应方法 中团分类号 0241 文献标识码 A doi 10.3981/j.issn.1000-7857.2012.05.011 Advances in the Adaptive Grid Methods on the Area of Science and Engineering Application WANG Ruili , LIU Quan, WU Zihui , HU Xiaomian Institute ofApplied Physics and Computationa1 Mathematics , Beijing 100094, Chinα Abstract Adaptive grid method is one of the key techniques in the area of science and engineering applications. 8ased on the Lagrange grids of computational method , two types of different adaptive grid methods including couple adaptive mesh methods and pro-processor adaptive mesh methods are described. In the framework of couple adaptive mesh methods , several adaptive mesh methods including adaptive mesh refinement , moving mesh method , and adaptive coordinate methods are reviewed. In the framework of pro -processor adaptive mesh methods , adaptive mesh redistribution , reconnection -based method , changing connectivity of the mesh , and connectivity optimization method are described. Their advantages and disadvantages are compared with each other and analyzed with regard to the basic theory , efficiency , robustness for physics characteristics , and other features. It provides 出e suppo此 for using adaptive mesh method in the 町ea of science and engineering applications. Keywords science and engineering applications; coupling type; post-processing type; adaptive grid methods 0 引言