Two-dimensional sloshing analysis by Lagrangian finite element method. (English) Zbl 0711.76008
Summary: Two dimensional sloshing analysis has been carried out by the Lagrangian finite element method. For the integration in time, the velocity correction method with the same interpolation functions for velocity and pressure is successfully used. The Lagrangian treatment to pursue the free surface position is presented. The comparison with the experiments shows extremely good agreement. It is shown that the large amplitude sloshing waves in a container can be analyzed by the present method.
MSC:
| 76B10 | Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
Keywords:
Two dimensional sloshing analysis; Lagrangian finite element method; velocity correction method; interpolation functionsReferences:
| [1] | Housner, Bull. Seismol. Soc. Am. 47 pp 15– (1957) |
| [2] | and , ’Lateral sloshing in moving containers’, NASA SP-106, 1966, pp. 13-78. |
| [3] | Sogabe, Seisan Kenkyu 26 pp 119– (1974) |
| [4] | Okamoto, Proc. Ninth World Conf. on Earthquake Engineering 4 pp 607– (1988) |
| [5] | and , ’Nonlinear effects in lateral sloshing’, NASA SP-106, 1966, pp. 79-103. |
| [6] | Harlow, Phys. Fluids 8 pp 2182– (1965) |
| [7] | Harlow, Phys. Fluids 9 pp 842– (1966) |
| [8] | Nakayama, Int. j. numer. methods eng. 15 pp 1207– (1980) |
| [9] | ’Some applications of finite element techniques to nonlinear free surface fluid flow problems’, Finite Element Flow Analysis, Proc. Fourth Int. Symp. on Finite Element Methods in Flow Problems, 1982, pp. 3-15. |
| [10] | Hino, J. Soc. Naval Architects Jpn. 153 pp 37– (1983) |
| [11] | Hino, J. Soc. Naval Architects Jpn. 154 pp 29– (1984) |
| [12] | Ramaswamy, Int. j. numer. methods fluids 6 pp 659– (1986) |
| [13] | Ramaswamy, Int. j. numer. methods fluids 7 pp 953– (1987) |
| [14] | Ramaswamy, Int. j. numer. methods fluids 7 pp 1053– (1987) |
| [15] | Kawahara, Comput. Mech. 3 pp 299– (1988) |
| [16] | and , ’Sloshing analysis by Lagrangian finite element method’, Computational Methods in Flow Analysis, Proc. Int. Conf. on Computation Method in Flow Analysis, Vol. 2, Okayama, 1988, pp. 1049-1056. |
| [17] | Hirt, J. Comput. Phys. 2 pp 403– (1968) |
| [18] | Nichols, J. Comput. Phys. 8 pp 434– (1971) |
| [19] | Viecelli, J. Comput. Phys. 4 pp 543– (1969) |
| [20] | Viecelli, J. Comput. Phys. 8 pp 119– (1971) |
| [21] | Hino, J. Soc. Naval Architects Jpn. 157 pp 141– (1985) · doi:10.2534/jjasnaoe1968.1985.141 |
| [22] | ’Simulation and experimental techniques Part of liquid sloshing’, NASA SP-106, 1966, pp. 145-169. |
| [23] | ’Simulation and experimental techniques Part I techniques and apparatus’, NASA SP-106, 1966, pp. 170-197. |
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