Viscous Flow With Free Surface Motion by Least Square Finite Element Method
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摘要: 给出了一种求解带自由液面流体运动的数值方法．流体运动的Navier-Stokes方程应用最小二乘有限元进行离散，有限差分法用来进行时间推进．采用Lagrange方法描述网格．将模型的计算结果与二维矩形和三维圆柱形坝溃的实验结果进行了对比．计算得到的时间历程与实验结果十分吻合，验证了最小二乘有限元在此类问题中应用的可能性．
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关键词:
- 粘性不可压流体 /
- Lagrange描述 /
- 最小二乘有限元 /
- 坝溃实验
Abstract: A method for simulation of free surface problems is presented.Based on the viscous incompressible Navier-Stokes equations,the space discretization of the flow was obtained by least square finite element method and the time evolution was obtained by finite difference method.Lagrangian description was used to track the free surface.The results here were compared with experimental dam break results,including water collapse in 2D rectangular section and in 3D cylinder section.Good agreement was achieved for the distance of surge front as well as the height of residual column. -
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