摘要
对液固耦合问题进行了拉普拉斯变换,建立了拉普拉斯空间的泛函,导出了有限元方程,并采用快速傅里叶变换进行反演。算例结果表明,对液固耦合问题采用拉普拉斯变换的有限元计算有限元方程与拉普拉斯数值逆变换结合求解是行之有效的方法。
A finite element formul in Laplace transform space for analyzing fluid structure interaction problems is proposed. The functional and variational principles of Laplace space are described.The discretization of the variation principles leads to resolving equations for finite element. for a simple example,reservoir dam system is calculated trially to make use of displacement pressure form. The numerical results obtained are in good greement with the ones in reference and show that the proposed FE/LT method is efficient.
出处
《江汉石油学院学报》
CSCD
北大核心
1997年第3期109-111,共3页
Journal of Jianghan Petroleum Institute
关键词
流体力学
液固耦合
拉普拉斯变换
有限元
变分法
fluid mechanics
interaction of fluid structure
dynamic response
Laplace transform
variational methods
Finite element