摘要
研究了水波计算的位移法.采用物质坐标,以位移为基本未知量,考虑小变形条件,引入流函数满足不可压缩条件.于是,分析力学的变分原理可以运用了,界带有限元、正则变换、保辛积分等有效手段可使数值求解方便得多.
Here the displacement method for the simulation of water waves was studied. Under the physical coordinate system, the displacements were taken as the unknown variables. Under the assumption of small deformation, the water incompressibility was satisfied through intro- duction of the flow function. Hence the variational principle of the analytic mechanics can be applied and the numerical results can be more conveniently got by efficient means of the inter- belt finite element method, the canonical transformation and the symplectic conservation inte- gration. 2 numerical examples show the correctness and potential of the proposed method.
出处
《应用数学和力学》
CSCD
北大核心
2015年第12期1219-1227,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金(面上项目)(11472067)~~
关键词
水波
位移法
界带有限元
water wave
displacement method
inter-belt finite element
