四面体网格修匀算法研究  

RESEARCH ON SMOOTHING ALGORITHM OF TETRAHEDRAL MESH

作　　者：刘明晖[1] 

机构地区：[1]浙江建设职业技术学院,杭州311231

出　　处：《建筑技术开发》2009年第10期13-14,23,共3页Building Technology Development

摘　　要：对有限元分析中网格优化的算法进行了研究。基于单元形状的度量准则,构造了与不可微目标函数等价的可微目标函数,建立了四面体网格修匀的优化模型。为了尽量避免陷入局部优化,采用了BFGS与混沌搜索相结合的求解算法,提高了获得全局最优解的概率。算例结果表明,该优化算法易于实现,稳定性好,效率较高,能够用于实际的网格优化。A method of mesh optimization in finite element analysis is investigated. In this paper, provide two equivalent differentiable objective functions for the non-differentiable objective function, and construct the differentiable optimization models for smoothing of tetrahedral mesh; besides, in order to avoid local optimum, a hybrid chaos- BFGS algorithm is used so that it can increase the probability of getting global optimum. Results of numerical examples show that the proposed algorithm is easy to realize, with high stability and efficiency, which can be applied to practical mesh optimization problem.

关 键 词：四面体网格 网格质量优化 修匀算法 

分 类 号：TU311.4[建筑科学—结构工程]