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Journal of Mechanical Science and Technology

, Volume 26, Issue 11, pp 3491–3501 | Cite as

Simulation of sloshing in a bi-lobe tank under arbitrary rotation using the FDS scheme and the HCIB method

  • Hyeon Kyu Yoon
  • Sangmook Shin
Article

Abstract

Three-dimensional sloshing in a bi-lobe tank under arbitrary rotation is simulated using a code developed using the flux-difference splitting scheme for variable density incompressible fluids and the hybrid Cartesian/immersed boundary method. The material interface is regarded as a moving contact discontinuity and is captured using a free surface capturing method derived from the Riemann solver, without any additional treatment along the interface. The boundary condition for the arbitrary motion of the bi-lobe tank, which contains a thin partition between two partially overlapping cylindrical tanks, is handled with ease by using the hybrid Cartesian/immersed boundary method. The computed time evolution of the interface is compared with the snapshots taken during the experiments on sloshing caused by the sway motion of the bi-lobe tank. Good agreement is observed between the computational and experimental results. The validated code is used to simulate three-dimensional sloshing in the bi-lobe tank that is subject to combined pitch and roll motions. A rotational vector is used to locate the Lagrangian points of the unstructured surface grid according to the motion of the tank. Grid independence tests are carried out using three different size grids. Violent three-dimensional sloshing ensues with an increase in the angular velocity of rotation.

Keywords

Contact discontinuity Free surface capturing Incompressible flow Non-boundary conforming method Rotational vector Sloshing experiments 

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References

  1. [1]
    D. Liu and P. Lin, A numerical study of three-dimensional liquid sloshing in tanks, Journal of Computational Physics, 227(8) (2008) 3921–3939.MathSciNetzbMATHCrossRefGoogle Scholar
  2. [2]
    Y. Kim, B. W. Nam, D. W. Kim and Y. S. Kim, Study on coupling effects of ship motion and sloshing, Ocean Engineering, 34(16) (2007) 2176–2187.CrossRefGoogle Scholar
  3. [3]
    H. S. Kim and Y. S. Lee, Optimization design technique for reduction of sloshing by evolutionary methods, Journal of Mechanical Science and Technology, 22(1) (2008) 25–33.CrossRefGoogle Scholar
  4. [4]
    C. W. Hirt and B. D. Nichols, Volume of fluid(VOF) method for the dynamics of free boundaries, Journal of Computational Physics, 39(1) (1981) 201–255.zbMATHCrossRefGoogle Scholar
  5. [5]
    J. S. Park, M. S. Kim, J. S. Lee and W. I. Lee, A semiimplicit method for the analysis of two-dimensional fluid flow with moving free surfaces, KSME International Journal, 16(5) (2002) 720–731.Google Scholar
  6. [6]
    M. Sussman, E. Fatemi, P. Smereka and S. Osher, An improved level set method for incompressible two-phase flows, Computers & Fluids, 27(5–6) (1998) 663–680.zbMATHCrossRefGoogle Scholar
  7. [7]
    S. Shin, Internal wave computations using the ghost fluid method on unstructured grids, International Journal for Numerical Methods in Fluids, 47(3) (2005) 233–251.zbMATHCrossRefGoogle Scholar
  8. [8]
    F. J. Kelecy and R. H. Pletcher, The development of a free surface capturing approach for multidimensional free surface flows in closed containers, Journal of Computational Physics, 138(2) (1997) 939–980.zbMATHCrossRefGoogle Scholar
  9. [9]
    L. Qian, D. M. Causon, C. G. Mingham and D. M. Ingram, A free-surface capturing method for two fluid flows with moving bodies, Proceedings of the Royal Society A, 462(2065) (2006) 21–42.MathSciNetzbMATHCrossRefGoogle Scholar
  10. [10]
    F. Gao, D. M. Ingram, D. M. Causon and C. G. Mingham, The development of a Cartesian cut cell method for incompressible viscous flow, International Journal for Numerical Methods in Fluids, 54(9) (2007) 1033–1053.MathSciNetzbMATHCrossRefGoogle Scholar
  11. [11]
    D. Pan and C. H. Chang, The capturing of free surfaces in incompressible multi-fluid flows, International Journal for Numerical methods in Fluids, 33(2) (2000) 203–222.zbMATHCrossRefGoogle Scholar
  12. [12]
    C. S. Peskin, Flow patterns around heart valves: a numerical method, Journal of Computational Physics, 10(2) (1972) 252–271.zbMATHCrossRefGoogle Scholar
  13. [13]
    A. Gilmanov and F. Sotiropoulos, A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies, Journal of Computational Physics, 207(2) (2005) 457–492.zbMATHCrossRefGoogle Scholar
  14. [14]
    S. Shin, S. Y. Bae, I. C. Kim, Y. J. Kim and J. S. Goo, Computations of flow over a flexible plate using the hybrid Cartesian/immersed boundary method, International Journal for Numerical Methods in Fluids, 55(3) (2007) 263–282.MathSciNetzbMATHCrossRefGoogle Scholar
  15. [15]
    S. Shin, S. Y. Bae, I. C. Kim and Y. J. Kim, Effects of flexibility on propulsive force acting on a heaving foil, Ocean Engineering, 36(3–4) (2009) 285–294.CrossRefGoogle Scholar
  16. [16]
    S. Shin and H. T. Kim, Numerical simulation of fluidstructure interaction of a moving flexible foil, Journal of Mechanical Science and Technology, 22(12) (2008) 2542–2553.CrossRefGoogle Scholar
  17. [17]
    S. Shin, S. Y. Bae, I. C. Kim, Y. J. Kim and H. K. Yoon, Simulation of free surface flows using the flux-difference splitting scheme on the hybrid Cartesian/immersed boundary method, International Journal for Numerical Methods in Fluids, 68(3) (2012) 360–376.MathSciNetzbMATHCrossRefGoogle Scholar
  18. [18]
    J. H. Duncan, The breaking and non-breaking wave resistance of a two-dimensional hydrofoil, Journal of Fluid Mechanics, 126 (1983) 507–520.CrossRefGoogle Scholar
  19. [19]
    G. X. Wu and R. E. Taylor, Time stepping solutions of the two-dimensional non-linear wave radiation problem, Ocean Engineering, 22(8) (1995) 785–798.CrossRefGoogle Scholar
  20. [20]
    P. Lin, A fixed-grid model for simulation of a moving body in free surface flows, Computers & Fluids, 36(3) (2007) 549–561.zbMATHCrossRefGoogle Scholar
  21. [21]
    H. K. Yoon, S. Shin and S. Park, Analysis of sloshing in L-CO2 bi-lobe tank due to 6-DOF motion of a ship in waves, Proceedings of 11 th Asia Conference in Marine Simulator and Simulation Research, Kure, Japan (2011) 115–123.Google Scholar

Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Naval Architecture and Marine EngineeringChangwon National UniversityChangwonKorea
  2. 2.Department of Naval Architecture and Marine Systems EngineeringPukyong National UniversityBusanKorea

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