An Arbitrary Lagrangian-Eulerian finite element method
An Arbitrary Lagrangian-Eulerian finite element method
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DOI：
10.1007/s004660050285
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发表时间：
1998-02
影响因子：
4.1
通讯作者：
P. Kjellgren;J. Hyvärinen
中科院分区：
文献类型：
--
作者：
P. Kjellgren;J. Hyvärinen
本文介绍了一种模拟含运动结构流体区域的任意拉格朗日-欧拉（ALE）有限元方法。流体是粘性的，不可压缩的和非定常的和流体运动是通过一个分数步离散的Navier-Stokes方程来解决的。重点是对流占主导地位的流动，和一个三步法用于对流项。本文提出了一种新的算法来解决网格速度计算这一重要而关键的问题，并对雷诺数Rew = 20 - 2000范围内二维圆柱振动的附加质量和附加阻尼进行了数值计算，以验证ALE有限元方法的有效性。数值计算的附加质量和附加阻尼进行了比较，分析和数值结果。为了进一步证明该方法的通用性，数值模拟流动过去振荡示意跑车。
This paper describes an Arbitrary Lagrangian- Eulerian (ALE) finite element method for the simulation of fluid domains with moving structures. The fluid is viscous, incompressible and unsteady and the fluid motion is solved by a fractional step discretization of the Navier-Stokes equations. The emphasis is on convection dominated flows, and a three-step method is used for the convection term. The moving structure causes the mesh of the fluid domain to move, and a new algorithm is proposed to solve the important and crucial problem of the calculation of the mesh velocities.Numerical calculations of the added mass and added damping of a vibrating two-dimensional circular cylinder in the frequency Reynolds number range Rew=20−2000 are performed to evaluate the proposed ALE finite element method. The numerically calculated added mass and added damping are compared to both analytical and numerical results. To further demonstrate the generality of the method, a numerical simulation of flow past an oscillating schematic sports car is presented.