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Solution of three-dimensional unsteady external flow using a coupled arbitrary Lagrangian FEM-BEM model

机译:使用耦合的任意拉格朗日FEM-BEM模型求解三维非稳态外部流

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摘要

A computational model has been developed in this paper to solve three-dimensional unsteady incompressible viscous flow problems in external flow fields. The model is based on primitive variables in Navier-Stokes equations under transient conditions. The model can be used to solve infinite boundary value problems by extracting the boundary effects on a specified finite computational domain using projection method of the Navier-Stokes equations. The momentum equation of fluid motion is solved using the three-step finite element method. The external flow field is simulated using the boundary element method by solving a pressure Poisson equation by considering the pressure to be zero at the infinite boundary. Arbitrary Lagrangian-Eulerian method is incorporated in the present model to solve the moving boundary problems. The model has been applied initially to simulate a cubic cavity flow problem for verification purpose and further used to simulate the flow past a square cylinder in two dimensions. Finally, the external flow problem of flow induced by the movement of a sphere inside a viscous flow field in three dimensions has also been considered. The simulation results are found to be reasonable and satisfactory.
机译:本文开发了一种计算模型来解决外部流场中的三维非定常不可压缩粘性流问题。该模型基于瞬态条件下Navier-Stokes方程中的原始变量。通过使用Navier-Stokes方程的投影方法提取指定有限计算域上的边界效应,该模型可用于解决无限边界值问题。使用三步有限元法求解流体运动的动量方程。使用边界元方法,通过考虑无限边界处的压力为零来求解压力泊松方程,来模拟外部流场。本模型采用任意的拉格朗日-欧拉方法来解决运动边界问题。该模型最初已用于模拟立方腔流动问题以进行验证,并进一步用于模拟二维流过方形圆柱体的流动。最后,还考虑了球在粘性流场内三维运动引起的外部流动问题。仿真结果被认为是合理和令人满意的。

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