Journal of the Society of Naval Architects of Korea (대한조선학회논문집)

The Society of Naval Architects of Korea (대한조선학회)
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A Numerical Study on the Sloshing Characteristics in a Two-dimensional Rectangular Tank Using the Level Set Method

레벨셋법을 이용한 2 차원 사각 탱크 내부의 슬로싱 특성에 관한 수치적 연구

  • Yoon, Hyun-Sik (Advanced Ship Engineering Research Center, Pusan National University) ;
  • Lee, Jung-Min (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • Chun, Hwan-Ho (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • Lee, Hyun-Goo (School of Mechanical Engineering, Pusan National University)
  • 윤현식 (부산대학교 첨단조선공학연구센터) ;
  • 이정민 (부산대학교 조선해양공학과) ;
  • 전호환 (부산대학교 조선해양공학과) ;
  • 이현구 (부산대학교 기계공학부)
  • Published : 2008.04.20
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Abstract

The sloshing phenomena in a two-dimensional rectangular tank are investigated using a level set method based on finite volume method. The code validations are performed by comparing between the present results and previous numerical results, which gives a good agreement. We present the streamlines pattern, free surface shape, maximum free surface elevation and pressure fluctuation patterns in the tank under the pitch and surge motions with various frequencies. These two different motions cause the different flow structures in the tank. The time variations of surface elevation and pressure at the different locations in the tank strongly depend on the exciting frequency of tank moving.

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References

  1. Celebi, M.S. and Akyildiz, H., 2002, "Nonlinear Modeling of Liquid Sloshing in a Moving Rectangular Tank," Ocean Eng., Vol. 29, pp. 1527-1553 https://doi.org/10.1016/S0029-8018(01)00085-3
  2. Chen, B.F. and Chiang, H.W. , 1999, "Complete 2D and Fully Nonlinear Analysis of Ideal Fluid in Tanks," J. Eng. Mech., Vol. 125, No. 1, pp. 70-78 https://doi.org/10.1061/(ASCE)0733-9399(1999)125:1(70)
  3. Chen, B.F. and Nokes, R., 2005, "Time-Independent Finite Difference Analysis of Fully Non-linear and Viscous Fluid Sloshing in a Rectangular Tank," J. Comput. Phys., Vol. 209, pp. 47-81 https://doi.org/10.1016/j.jcp.2005.03.006
  4. Kim, J. and Moin, P., 1985, "Application of a Fractional-step Method to Incompressible Navier-stokes Equations," J. Comput. Phys., Vol. 59, pp. 308-323 https://doi.org/10.1016/0021-9991(85)90148-2
  5. Kwak, Y.K. and Ko, S.H., 2003, "Computational Fluid Dynamics Study on Two-Dimensional Sloshing in Rectangular Tank," The Korea Society of Mechanical Engineers B, Vol. 27, No. 8, pp. 1142-1149 https://doi.org/10.3795/KSME-B.2003.27.8.1142
  6. Lamb, S.M., 1932, Hydrodynamics, Dover Publications, Inc., NewYork
  7. Lee, H.W. and Cho, J.R., 2005, "Characteristic Analysis of Nonlinear Sloshing in Baffled Tank," The Korea Society of Mechanical Engineers A, Vol. 29, No. 3, pp. 1455-1462 https://doi.org/10.3795/KSME-A.2005.29.11.1455
  8. Nakayama, T. and Washizu, K., 1981, "The Boundary Element Method Applied to the Analysis of Two-dimensional Nonlinear Sloshing Problems," Int. J. Numer. Meth. Eng., Vol. 17, pp. 1631-1646 https://doi.org/10.1002/nme.1620171105
  9. Park, I.R. and Chun, H.H., 1999, "A Study on the Level-Set Scheme for the Analysis of the Free Surface Flow by a Finite Volume Method," Journal of the Society of Naval Architects of Korea Vol. 36, No. 2, pp. 40-49
  10. Park, I.R. and Chun, H.H., 2002a, "Basic Analysis of Bubble Behavior in the Viscous Flow Domain with the Free Interface," Journal of the Society of Naval Architects of Korea Vol. 39, No. 1, pp. 16-27 https://doi.org/10.3744/SNAK.2002.39.1.016
  11. Park, I.R. and Chun, H.H., 2002b, "A Study on a Moving Adaptive Grid Generation Method Using a Level-set Scheme," Journal of the Society of Naval Architects of Korea Vol. 39, No. 3, pp. 18-27 https://doi.org/10.3744/SNAK.2002.39.3.018
  12. Peng, D., Merriman, B., Osher, S., Zhao H. and Kang, M., 1999, "A PDE-Based Fast Local Level Set Method," J. Comput. Phys., Vol. 155, pp. 410. 438 https://doi.org/10.1006/jcph.1999.6345
  13. Perng, C.Y. and Street, R.L., 1991, "A Coupled Multigrid-domain-splitting Technique for Simulating Incompressible Flows in Geometrically Complex Domains," Int. J. Numer. Meth. Fluids, Vol. 13, pp. 269-286 https://doi.org/10.1002/fld.1650130302
  14. Shu, C. and Osher, S., 1989, "Efficient Implementation of Essentially Non-oscillatory Shock-capturing Schemes, II," J. Comput. Phys., Vol. 83, pp. 32-78 https://doi.org/10.1016/0021-9991(89)90222-2
  15. Sussman, M., Smereka, P. and Osher, S., 1994, "A Level Set Approach for Computing Solutions to Incompressible Two-phase Flow," J. Comput. Phys. 114, pp. 146-159 https://doi.org/10.1006/jcph.1994.1155
  16. Sussman, M.S., Fatemi, E., Smereka, P. and Osher, S., 1998, "An Improved Level Set Method for Incompressible Two-phase Flows," Comput. Fluids, Vol. 27, pp. 663-680 https://doi.org/10.1016/S0045-7930(97)00053-4
  17. Wu, G.X., Ma, Q.W. and Taylor R.E., 1998, "Numerical Simulation of Sloshing Waves in a 3D Tank Based on a Finite Element Method," Appl. Ocean. Res., Vol. 20, pp. 337-355 https://doi.org/10.1016/S0141-1187(98)00030-3
  18. Yue, W., Lin, C.L. and Patel, V.C., 2003, "Numerical Simulation of Unsteady Multidimensional Free Surface Motions by Level Set Method," Int. J. Numer. Meth. Fluids, Vol. 42, pp. 853-884 https://doi.org/10.1002/fld.555
  19. Zang, Y., Street and R.L. and Koseff, J.R., 1994, "A Non-staggered Grid, Fractional Step Method for Time-Dependent Incompressible Navier-Stokes Equations in Curvilinear Coordinate," J. Comput. Phys., Vol. 114, pp. 18-33 https://doi.org/10.1006/jcph.1994.1146

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