粘性流体大幅晃动的ALE有限元模拟  

Arbitrary Lagrangian-Eulerian Finite Element Simulation for Viscous Flow with Large-Amplitude Sloshing

作　　者：曾江红[1] 王照林[1] 

机构地区：[1]清华大学工程力学系

出　　处：《强度与环境》1996年第3期22-31,共10页Structure & Environment Engineering

基　　金：国家自然科学基金!19332020;高等学校博士学科点专项科研基金

摘　　要：采用有限元法数值求解了具有自由液面大幅移动边界的Navier－Stokes方程。对流体区域采用了任意的拉洛朗一欧拉（ALE）运动学描述，网格结点可以任意移动而不依赖于流体的运动，结合了拉格朗目描述易于处理移动边界与区域变形的优点和欧拉描述可克服单元缠结的优点，提出了简单合理的网格更新方法，能精确地跟踪运动的自由液面。为了更精确地处理强对流项的作用，采用了迎风流线Petrov－Galerkin（SUPG）加权余量法建立有限元方程。算例表明本方法对贮箱内流体的非稳态大幅晃动过程的数值模拟非常成功。An arbitrary Lagrangian-Eulerian (ALE) finite element method is developed to solve theNavier-Stokes equations with large free surface moving boundaries. Using the ALE Kinematical descrip-tion in fluid domain, the nodal points can be displaced independently of the fluid motion, This method caneasily treat the moving bouhdaries and defoming domains as a purely Lagrangian method, and it also re-mains Enlerian aspects to overcome undesirable element distortions and entanlement. A reasionable meshrezoning algorithm is presented to track the moving free surface precisely. Moreover, the streamline-up-wind/Petrov-Galerkin (SUPG) formulation is implemented to accurately describe highly convective freesurface flow. The effectiveness of the algorithm is demonstrated by the numerical simulation of the un-steady large-amplitude sloshing problem. The results are in very good agreement with the experimpentalFhenomena.

关 键 词：液体晃动 粘性流动 有限元法 数值模拟 

分 类 号：O357[理学—流体力学] O353[理学—力学]