Abstract
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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Communicated by CHEN Li-qun
Project supported by the National Natural Science Foundation of China (Nos. 10302013, 10572022)
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Tang, B., Li, Jf. & Wang, Ts. Viscous flow with free surface motion by least square finite element method. Appl. Math. Mech.-Engl. Ed. 29, 943–952 (2008). https://doi.org/10.1007/s10483-008-0713-x
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DOI: https://doi.org/10.1007/s10483-008-0713-x
Key words
- incompressible viscous fluid
- Lagrangian description
- least square finite element method
- dam break experiment