Viscous flow with free surface motion by least square finite element method

被引:0
作者
Bo Tang
Jun-feng Li
Tian-shu Wang
机构
[1] Tsinghua University,School of Aerospace
来源
Applied Mathematics and Mechanics | 2008年 / 29卷
关键词
incompressible viscous fluid; Lagrangian description; least square finite element method; dam break experiment; O357.1; O359; .1; 76D05; 76M10; 76T10;
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学科分类号
摘要
A method for simulation of free surface problems is presented. Based on the viscous incompressible Navier-Stokes equations, space discretization of the flow is obtained by the least square finite element method. The time evolution is obtained by the finite difference method. Lagrangian description is used to track the free surface. The results are compared with the experimental dam break results, including water collapse in a 2D rectangular section and in a 3D cylinder section. A good agreement is achieved for the distance of surge front as well as the height of the residual column.
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页码:943 / 952
页数:9
相关论文
共 16 条
[1]  
Lu J.(2007)Dynamic response of liquid-filled rectangular tank with elastic appendages under pitching excitation[J] Applied Mathematics and Mechanics 28 351-359
[2]  
Li J. F.(2001)Pressure stability in fractional step finite element methods for incompressible flows[J] Journal of Computational Physics 170 112-140
[3]  
Wang T. S.(1974)On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian mulipliears[J] Mathematical Modeling and Numerical Analysis 8 129-151
[4]  
Codina R.(1998)On stability and convergence of projection methods based on pressure Poisson equation[J] International Journal for Numerical Methods in Fluids 26 1039-1053
[5]  
Brezzi F.(1991)Lagrangian finite element method for free surface Navier-Stokes flow using fractional step methods[J] International Journal for Numerical Methods in Fluids 13 805-840
[6]  
Guermond J. L.(1997)Least-squares finite element method for the stokes problem with zero residual of mass conservation[J] SIAM Journal on Numerical Analysis 34 480-489
[7]  
Quartapelle L.(1998)Issues related to least-squares finite element methods for the Stokes equations[J] SIAM Journal on Scientific Computing 20 878-906
[8]  
Hauashi M(1952)An experimental study of the collapse of liquid columns on a rigid horizontal plane[J] Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 244 312-324
[9]  
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