Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Free Surface Tracking for the Accurate Time Response Analysis of Nonlinear Liquid Sloshing

  • Cho Jin-Rae (School of Mechanical Engineering, Pusan National University) ;
  • Lee Hong-Woo (School of Mechanical Engineering, Pusan National University)
  • Published : 2005.07.01
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Abstract

Liquid sloshing displays the highly nonlinear free surface fluctuation when either the external excitation is of large amplitude or its frequency approaches natural sloshing frequencies. Naturally, the accurate tracking of time-varying free surface configuration becomes a key task for the reliable prediction of the sloshing time-history response. However, the numerical instability and dissipation may occur in the nonlinear sloshing analysis, particularly in the long-time beating simulation, when two simulation parameters, the relative time-increment parameter a and the fluid mesh pattern, are not elaborately chosen. This paper intends to examine the effects of these two parameters on the potential-based nonlinear finite element method introduced for the large amplitude sloshing flow.

Keywords

References

  1. Chen, W, Haroun, M. A. and Liu, F., 1996, 'Large Amplitude Sloshing in Seismically Excited Tanks,' Earthquake Engineering & Structural Dynamics, Vol. 25, pp. 653-669 https://doi.org/10.1002/(SICI)1096-9845(199607)25:7<653::AID-EQE513>3.0.CO;2-H
  2. Cho, J. R. and Lee, S. Y., 2003, 'Dynamic Analysis of Baffles Fuel-Storage Tanks Using the ALE Finite Element Method,' International Journal for Numerical Methods in Fluids, Vol. 41, pp. 185-208 https://doi.org/10.1002/fld.434
  3. Cho, J. R. and Oden, J. T., 1997, 'Locking and Boundary Layer in Hierarchical Models for Thin Elastic Structures,' Comput. Methods Appl. Mech. Engrg., Vol. 147, pp. 33-48 https://doi.org/10.1016/S0045-7825(97)00057-1
  4. Currie, I. G., 1974, Fundamental Mechanics of Fluids, McGraw-Hill, New York
  5. Faltinsen, O. M., Rognebakke, O. F. and Lukovsky, I. A., 2000, 'Multidimensional Modal Analysis of Nonlinear Sloshing in a Rectangular Tank with Finite Water Depth,' J. Fluid Mech., Vol. 407, pp. 201-234 https://doi.org/10.1017/S0022112099007569
  6. Golub, G. H. and Ortega, J. M., 1992, Scientific Computing and Differential Equations, Academic Press, New York
  7. Kanok-Nukulchai, W. and Tam, B. T., 1999, 'Structure-Fluid Interaction Model of Tuned Liquid Dampers,' International Journal for Numerical Methods in Engineering, Vol. 46, pp. 1541-1558 https://doi.org/10.1002/(SICI)1097-0207(19991130)46:9<1541::AID-NME711>3.0.CO;2-Y
  8. Nakayama, T. and Washizu, K., 1981, 'The Boundary Element Methods Applied to the Analysis of Two-Dimensional Nonlinear Sloshing Problems,' International Journal for Numerical Methods in Engineering, Vol. 17, pp. 1631-1646 https://doi.org/10.1002/nme.1620171105
  9. Okamoto, T. and Kawahara, M., 1990, 'Two-Dimensional Sloshing Analysis by Lagrangian Finite Element Method,' International Journal for Numerical Methods in Fluids, Vol. 11, pp. 453-477 https://doi.org/10.1002/fld.1650110502