摘要
采用拉格朗日有限元法(FEM),对均匀加热下落薄膜进行了直接数值模拟.在线性阶段,由数值结果得到的空间增长率与线性稳定性理论的结果是一致的.在非线性阶段,对于4种不同的小扰动频率,薄膜流动最终分别发展为饱和周期波、准周期波、多峰波状结构以及弧立波(solitaryhump).表明该数值模拟方法有着相当高的精度.
A Lagrangian finite element method is used to simulate a uniformly heated film flowing down an inclined plate. An example with periodic inlet disturbances of different frequencies is computed, and the agreement with the linear stability theory shows that the Lagrangian finite element method has good resolution. The film flow is fully developed to saturated periodic wave, quasiperiodic wave, multipeaked wave and solitary hump.
出处
《计算物理》
EI
CSCD
北大核心
2004年第5期415-420,共6页
Chinese Journal of Computational Physics
基金
国家自然科学基金(批准号:10002018)
中科院创新工程重要方向性项目(KJCX2SW-L2)资助项目
