摘要
本文以ALE理论为基础,结合流体力学的相关理论,推导了用ALE方法描述的Navier-Stokes方程组,构造了基于Petrov-Galerkin格式的迎风有限元列式求解FSI的动力学问题,并在流体区域内采用Newton-Raphson迭代格式求解非线性的N-S方程组。最后采用ALE有限元对等截面直管轴对称流动和变截面弹性管内的粘性流动横向振动进行了模拟计算,并与相关理论和实验结果比较,结果表明:本文方法具有很好的效率和精度。
The Navier-Stokes equations were deduced based on the Arbitrary Lagrangian-Eulerian description.And the Newdon-Raphson iteration method of SU/PG FEM was established for Fluid-Structure Interaction dynamic problem.The ALE numeric simulation for axisymmetric flow in uniform pipe and transverse vibration of viscous flow in non-uniform cross section were performed.The comparison between the numeric results with the theoretical and experimental ones was conducted.The result indicates that the proposed method is effective and accurate.
出处
《西华大学学报（自然科学版）》
CAS
2007年第5期59-61,共3页
Journal of Xihua University:Natural Science Edition
基金
西华大学人才培养与引进基金项目(No.0326217)
关键词
流固耦合
ALE有限元
输流管道
fluid-structure coupling
ALE finite element method
fluid-conveying pipe
