Numerical simulation of liquid sloshing using arbitrary Lagrangian-Eulerian level set method
DOI:
https://doi.org/10.1260/1750-9548.5.4.339Abstract
Liquid sloshing in an oscillating tank is simulated numerically as a fluid-structure interaction problem using the arbitrary Lagrangian-Eulerian and the level set coupled method, in which the computational grid points are moved with the velocity of the tank. It is shown by comparing the simulation results with the existing experimental results that the sloshing behavior of the free surface is predicted well by the present method. The simulation results are also compared with the case using the body force, in which the body force term is included in the fluid equations and the grid points are not moved. The difference between the moving grid method and the body force method is made clear both theoretically and numerically, and the limitation of the body force method is discussed.
References
Chang, Y. W., Ma, D. C., Gvildys, J. and Liu, W. K., Seismic analysis of LMR reactor tanks, Nuclear Engineering and Design, 1988, 106, 19-33. https://doi.org/10.1016/0029-5493(88)90267-1
Chang, Y. W., Gvildys, J., Ma, D. C., Singer, R. and Rodwell, E., Numerical simulation of seismic sloshing of LMR reactors, Nuclear Engineering and Design, 1989, 113, 435-454. https://doi.org/10.1016/0029-5493(89)90033-2
Sakurai, A., Masuko, Y., Kurihara, C., Ishihama, K. and Yashiro, T., Seismic sloshing experiments of large pool-type fast breeder reactors, Nuclear Engineering and Design, 1989, 113, 423-433. https://doi.org/10.1016/0029-5493(89)90032-0
Amano, K., Iwano, R. and Sibata, Y., Three-dimensional analysis method for sloshing behavior and its application to FBRs, Nuclear Engineering and Design, 1993, 140, 297-308. https://doi.org/10.1016/0029-5493(93)90113-n
Kimura, K., Ogura, K., Mieda, T., Yamamoto, K., Eguchi, Y., Moriya, S., Hagiwara, Y., Takakuwa, M., Kodama, T. and Koike, K., Expeimental and analytical studies on the multi-surface sloshing characteristics of a top entry loop type FBR, Nuclear Engineering and Design, 1995, 157, 49-63. https://doi.org/10.1016/0029-5493(95)00982-i
Hirano, M. and Tamakoshi, T., An analytical study on excitation of nuclear-coupled thermal hydraulic instability due to seismically induced resonance in BWR, Nuclear Engineering and Design, 1996, 162, 307-315. https://doi.org/10.1016/0029-5493(95)01128-5
Liu, D. and Lin, P., A numerical study of three-dimensional liquid sloshing in tanks, Journal of Computational Physics, 2008, 227, 3921-3939. https://doi.org/10.1016/j.jcp.2007.12.006
Chen, Y. G. and Price, W. G., Numerical simulation of liquid sloshing in a partially filled container with inclusion of compressibility effects, Physics of Fluids, 2009, 21, 112105. https://doi.org/10.1063/1.3264835
Curadelli, O., Ambrosini, D., Mirasso, A. and Amani, M., Resonant frequencies in an elevated spherical container partially filled with water: FEM and measurement, Journal of Fluids and Structure, 2010, 26, 148-159. https://doi.org/10.1016/j.jfluidstructs.2009.10.002
Okamoto, T. and Kawahara, M., Two-dimensional sloshing analysis by the arbitrary Lagrangian-Eulerian finite element methods. Structural Engineering/Earthquake Engineering 1992, 8, 207s-216s. https://doi.org/10.2208/jscej.1992.39
Sussman, M. and Smereka, P., Axisymmetric free boundary problems, Journal of Fluid Mechanics, 1997, 341, 269-294. https://doi.org/10.1017/s0022112097005570
Hirt, C. W., Amsden, A. A. and Cook, J. L., An arbitrary Lagrangian-Eulerian computing method for all flow speeds, Journal of Computational Physics, 1974, 14, 227-253. https://doi.org/10.1016/0021-9991(74)90051-5
Watanabe, T., Numerical simulation of droplet motion and two-phase flow field in an oscillating container, International Journal of Multiphysics, 2011, 5, 35-45. https://doi.org/10.1260/1750-9548.5.1.35
Chang, Y. C., Hou, T. Y., Merriman, B. and Osher, S., Alevel set formulation of Eulerian interface capturing methods for incompressible fluid flows, Journal of Computational Physics, 1996, 142, 449-464. https://doi.org/10.1006/jcph.1996.0072
Amsden, A. A. and Harlow, F. H., A simplified MAC technique for incompressible fluid flow calculations, Journal of Computational Physics, 1970, 6, 322-325. https://doi.org/10.1016/0021-9991(70)90029-x
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