Journal of Marine Science and Technology

, Volume 11, Issue 2, pp 111–122 | Cite as

Numerical simulation of violent sloshing by a CIP-based method

  • Zdravko R. Kishev
  • Changhong Hu
  • Masashi Kashiwagi
Article

Abstract

In this article, a new computational fluid dynamics simulation approach based on the constraint interpolation profile (CIP) method is applied to tackle the violent sloshing problem. The present study considers two-dimensional sloshing phenomena in a rectangular tank. By the proposed method, the sloshing problem is viewed as a multiphase problem that includes water and air flows. A stationary Cartesian grid is used and the free surface is solved by an interface capturing method. The CIP combined unified procedure (CCUP) scheme was adopted for the flow solver, and both the CIP scheme and the CIP conservative semi-Lagrangian with cubic interpolation polynomial (CIP-CSL3) scheme were used for interface capturing. For validation of the numerical method, a physical experiment was conducted with a rectangular tank for several frequencies and filling heights. A convergence check was first performed for the method. The numerical simulation results on violent sloshing show that the use of the CIP-CSL3 scheme as an interface capturing procedure gives much better results for the pressures and free-surface profiles than the conventional CIP scheme.

Key words

Violent sloshing Multiphase flow CIP method Pressure impulse 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Verhagen, JHG, van Wijngaarden, L 1965Nonlinear oscillations of fluid in a containerJ Fluid Mech22737751CrossRefGoogle Scholar
  2. 2.
    Faltinsen, OM 1974A nonlinear theory of sloshing in rectangular tanksJ Ship Res18224241Google Scholar
  3. 3.
    Faltinsen, OM, Rognebakke, OF, Lukovsky, IA, Timokha, AN 2000Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depthJ Fluid Mech407201234MathSciNetCrossRefGoogle Scholar
  4. 4.
    Faltinsen, OM 1978A numerical nonlinear method of sloshing in tanks with two-dimensional flowJ Ship Research22193202Google Scholar
  5. 5.
    Bridges TJ (1981) A numerical simulation of large amplitude sloshing. Third international conference of numerical ship hydrodynamics, Paris, 1981Google Scholar
  6. 6.
    Arai, M, Cheng, LY, Inoue, Y 1992Three-dimensional numerical simulation of impact load due to liquid cargo sloshingJ Soc Nav Arch Jpn171177184Google Scholar
  7. 7.
    Mikelis, NE, Robinson, DW 1985Sloshing in arbitrary shaped tanksJ Soc Nav Arch Japan158246255Google Scholar
  8. 8.
    Kim, YH 2001Numerical simulation of sloshing flows with impact loadAppl Ocean Res235362CrossRefGoogle Scholar
  9. 9.
    Wu, GX, Ma, QW, Eatock Taylor, R 1998Numerical simulation of sloshing waves in a 3D tank, based on a finite element methodAppl Ocean Res20337355CrossRefGoogle Scholar
  10. 10.
    Sussman, M, Smereka, P, Osher, SJ 1994A level set method for computing solutions to incompressible two-phase flowJ Comput Phys114146159CrossRefGoogle Scholar
  11. 11.
    Monaghan, JJ 1992Smoothed particle hydrodynamicsAnnu Rev Astron Astrophys30543574CrossRefGoogle Scholar
  12. 12.
    Koshizuka, S, Tamako, H, Oka, Y 1995A particle method for incompressible viscous flow with fluid fragmentationComp Fluid Mech J42946Google Scholar
  13. 13.
    Yabe, T, Xiao, F, Utsumi, T 2001The constrained interpolation profile method for multiphase analysisJ Comp Phys169556593MathSciNetCrossRefGoogle Scholar
  14. 14.
    Xiao, F, Yabe, T 2001Completely conservative and oscillationless semi-Lagrangian schemes for advection transportationJ Comp Phys170498522MathSciNetCrossRefGoogle Scholar
  15. 15.
    Hu, C, Kashiwagi, M 2004A CIP-based method for numerical simulation of violent free-surface flowsJ Mar Sci Technol9143157CrossRefGoogle Scholar
  16. 16.
    Xiao, F, Ikebata, A 2003An efficient method for capturing free boundaries in multi-fluid simulationsInt J Num Methods Fluids42187210MathSciNetCrossRefGoogle Scholar
  17. 17.
    Kishev ZR, Hu C, Kashiwagi M (2004) Experimental simulation of violent sloshing and numerical computations. In: Proceedings of the second Asia-Pacific workshop on marine hydrodynamicsGoogle Scholar

Copyright information

© JASNAOE 2006

Authors and Affiliations

  • Zdravko R. Kishev
    • 1
  • Changhong Hu
    • 2
  • Masashi Kashiwagi
    • 2
  1. 1.Interdisciplinary Graduate School of EngineeringKyushu UniversityKasugaJapan
  2. 2.RIAM-420KasugaJapan

Personalised recommendations