Simulated annealing based algorithm for node generation in seepage analysis with meshless method

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• 作者：Y.X. Jie ; ^{jieyx@tsinghua.edu.cn} ; Yan Liu¹
• 关键词：Centroidal Voronoi tessellations (CVTs) ; Simulated annealing ; Element-free Galerkin method (EFG) ; Meshless method ; Seepage
• 刊名：Mechanics Research Communications
• 出版年：2012
• 期刊代码：123_00936413
• 类别：et
• 出版时间：July, 2012
• 卷：43
• 期：Complete
• 页码：96-100
• 文件大小：599 K

摘要

Node generation plays an important role in meshless methods for seepage analysis with a free surface. A probabilistic algorithm based on a combination of simulated annealing and the generalized probabilistic Lloyd's method, which is related to centroidal Voronoi tessellations (CVTs), is used in seepage analyses with the element-free Galerkin method (EFG). The applications in this paper involve analyzing steady seepage in a rectangular dam, a dam with an inclined slope surface, and a dam with a horizontal drain. The results show that the algorithm can easily fit and update the changeable free surface, and obtains higher-quality node sets, particularly when simulating physical domains with complex geometrical boundaries.