摘要
提出交界面网格非协调的定义,论述经典的约束方程法由于强加位移模式而使交界面处变得刚硬所带来的误差,因此该算法需要进一步改进.在已经解决等参逆变换的前提下,提出了新的约束方程法,实现了非协调网格之间的位移协调,从而提高了计算精度,并通过实例证明了方法的合理性和可行性.
Firstly, the definition of non-conforming meshes at an interface is presented. Secondly, because classical constraint equations force on a mode of displacement at an interface, the interface becomes stiff and error appear, and this algorithm should be improved. A new constraint equation algorithm is presented with the condition of having solved the inverse mapping of isoparametric elements. This algorithm realizes the kinematic compatibility of non-conforming meshes and improves precision in calculation. Finally, the universal validity of it is proved by some examples.
出处
《武汉大学学报（工学版）》
CAS
CSCD
北大核心
2003年第6期47-50,69,共5页
Engineering Journal of Wuhan University
关键词
有限元
非协调网格
运动协调
几何协调
等参逆变换
finite elements
non-conforming meshes
kinematic compatibility
geometrical compatibility
inverse mapping of isoparametric elements
