A numerical scheme for dynamic liquid sloshing in horizontal cylindrical containers

Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering

Volumn 220, Issue 7, 2006, Pages 901-918

  Dai, Liming ^a   Xu, Liang ^a  

^a UNIVERSITY OF REGINA   (Canada)

Author keywords

Coordinate transformation; Finite difference; Horizontal cylindrical containers; Sloshing

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATION THEORY; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; INTERPOLATION;

COMPUTATIONAL STABILITY; COORDINATE TRANSFORMATION; FREE SURFACE; HORIZONTAL CYLINDRICAL CONTAINERS;

LIQUID SLOSHING;

EID: 33947578064     PISSN: 09544070     EISSN: None     Source Type: Journal    
DOI: 10.1243/09544070D16604     Document Type: Article

References (27)

1. Abramson, H. N. and Silverman, S. The dynamic behavior of liquids in moving containers. NASA SP-106, 1966.
2. Ibrahim, R. A., Pilipchuk, V. N., and Ikeda, T. Recent advances in liquid sloshing dynamics. Appl. Mechanics Rev., 2001, 54(2), 133-199.
3. Faltinsen, O. M. and Timokha, A. N. Adaptive multimodal approach to nonlinear sloshing in a rectangular tank. J. Fluid Mechanics, 2001, 432, 167-200.
4. Hill, D. F. Transient and steady-state amplitudes of forced waves in rectangular basins. Phys. Fluids, 2003, 15(6), 1576-1587.
5. Lamb, H. Hydrodynamics, 6th edition, 1945 (Dover Publications, New York).
6. Budiansky, B. Sloshing of liquids in circular canals and spherical tanks. J. Aero/Space Sci., 1960, 27(3), 61-173.
7. Moiseev, N. N. and Petrov, A. A. The calculation of free oscillation of a liquid in a motionless container. Adv. Appl. Mechanics, 1965, 9, 91-154.
8. McIver, P. Sloshing frequencies for cylindrical and spherical containers rilled to an arbitrary depth. J. Fluid Mechanics, 1989, 201, 243-257.
9. McCarty, J. L. and Stephens, D. G. Investigation of the natural frequencies of fluids in spherical and cylindrical tanks. NASA Technical Note, D-252, 1960.
10. Kobayashi, N., Mieda, T., Shibata, H., and Shinozaki, Y. A study of the liquid sloshing response in horizontal cylindrical tanks. J. Pressure Vessel Technol., 1989, 111, 32-38.
11. Ye, Z. and Birk, A. M. Fluid pressure in partially liquid-filled horizontal cylindrical vessels undergoing impact acceleration. J. Pressure Vessel Technol., 1994, 116, 449-459.
12. Papaspyrou, S., Valougeorgis, D., and Karamanos, S. A. Sloshing effects in half-full horizontal cylindrical vessels under longitudinal excitation. J. Appl. Mechanics, 2004, 71(2), 255-265.
13. Tosaka, N., Sugino, R., and Kawabata, H. Boundary element-Lagrangian solution method for nonlinear free surface problems. In Proceedings of the International Symposium on BEM: Advances in Solid and Fluid Mechanics (Eds B. S. Annigeri and K. Tseng), East Hartford, Connecticut, 1989.
14. Popov, G., Sankar, S., Sankar, T. S., and Vatistas, G. H. Dynamics of liquid sloshing in horizontal cylindrical road containers. Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 1993, 207, 399-406.
15. Solaas, F. and Faltinsen, O. M. Combined numerical and analytical solution for sloshing in twodimensional tanks of general shape. J. Ship Res., 1997, 41(2), 118-129.
16. Ortiz, J. L. and Barhorst, A. A. Large-displacement non-linear sloshing in 2-D circular rigid containers-prescribed motion of the container. Int. J. Numer. Meth. Engng, 1998, 41, 195-210.
17. Sames, P. C., Marcouly, D., and Schellin, T. E. Sloshing in rectangular and cylindrical tanks. J. Ship Res., 2002, 46(3), 186-200.
18. Partom, I. S. Application of the VOF method to the sloshing of a fluid in a partially filled cylindrical container. Int. J. Numer. Meth. Fluids, 1987, 7, 535-550.
19. Aliabadi, S., Johnson, A., and Abedi, J. Comparison of finite element and pendulum models for simulation of sloshing. Comput. Fluids, 2003, 32, 535-545.
20. Phillips, N. A. A coordinate system having some special advantages for numerical forecasting. J. Met., 1957, 14, 184-185.
21. Chen, B. F. Nonlinear hydrodynamic pressures by earthquakes on dam faces with arbitrary reservoir shapes. J. Hydraulic Res., 1994, 32(3), 401-413.
22. Chern, M. J., Borthwick, A. G. L., and Eatock Taylor, R. A pseudospectral σr-transformation model of 2-D nonlinear waves. J. Fluids and Structs, 1999, 13, 607-630.
23. Chern, M. J., Borthwick, A. G. L., and Eatock Taylor, R. Simulation of non-linear free surface motions in a cylindrical domain using a Chebyshev-Fourier spectral collocation method. Int. J. Numer. Meth. Fluids, 2001, 36, 465-496.
24. Turnbull, M. S., Borthwlck, A. G. L., and Eatock Taylor, R. Numerical wave tank based on a σ-transformed finite element inviscid flow solver. Int. J. Numer. Meth. Fluids, 2003, 42, 641-663.
25. Frandsen, J. B. Sloshing motions in excited tanks. J. Computational Phys., 2003, 196(1), 53-87.
26. Dai, L. and Singh, M. C. A new approach to approximate and numerical solutions of oscillatory problems. J. Sound and Vibr., 2003, 263, 535-548.
27. Tosaka, N. and Sugino, R. Boundary element analysis of non-linear liquid motion in two-dimensional containers. In Boundary integral methods, theory and applications (Eds L. Morino and R. Piva), Proceedings of the IABEM Symposium, Rome, Italy, 1990 (Springer, Berlin).