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China Ocean Engineering

, Volume 33, Issue 1, pp 94–102 | Cite as

Investigation of the Effects of Baffles on the Shallow Water Sloshing in A Rectangular Tank Using A 2D Turbulent ISPH Method

  • Rahim ShamsoddiniEmail author
  • Bahador Abolpur
Article
  • 5 Downloads

Abstract

Liquid sloshing is a common phenomenon in the liquid tanks transportation. Liquid waves lead to fluctuating forces on the tank wall. Uncontrolled fluctuations lead to large forces and momentums. Baffles can control these fluctuations. A numerical method, which has been widely used to model this phenomenon, is Smoothed Particle Hydrodynamics (SPH). The Lagrangian nature of this method makes it suitable for simulating free surface flows. In the present study, an accurate Incompressible Smoothed Particle Hydrodynamics (ISPH) method is developed and improved using the kernel gradient correction tensors, particle shifting algorithms, k–ε turbulence model, and free surface particle detectors. Comparisons with the experimental data approve the ability of the present algorithm for simulating shallow water sloshing. The main aim of this study is to investigate the effects of the vertical baffle on the damping of liquid sloshing. Results show that baffles number has a major role in sloshing fluctuation damping.

Key words

SPH k–ε vertical baffle shallow water sloshing free surface 

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References

  1. Aly A.M. and Lee S.W., 2014. Numerical simulations of impact flows with incompressible smoothed particle hydrodynamics, Journal of Mechanical Science and Technology, 28(6), 2179–2188.CrossRefGoogle Scholar
  2. Antoci C., Gallati M. and Sibilla S., 2007. Numerical simulation of fluid-structure interaction by SPH, Computers & Structures, 85(11–14), 879–890.CrossRefGoogle Scholar
  3. Bonet J. and Lok T.S.L., 1999. Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations, Computer Methods in Applied Mechanics and Engineering, 180(1–2), 97–115.MathSciNetCrossRefzbMATHGoogle Scholar
  4. Cao X.Y., Ming F.R. and Zhang A.M., 2014. Sloshing in a rectangular tank based on SPH simulation, Applied Ocean Research, 47, 241–254.CrossRefGoogle Scholar
  5. De Chowdhury S. and Sannasiraj S.A., 2014. Numerical simulation of 2D sloshing waves using SPH with diffusive terms, Applied Ocean Research, 47, 219–240.CrossRefGoogle Scholar
  6. Dehnen W. and Aly H., 2012. Improving convergence in smoothed particle hydrodynamics simulations without pairing instability, Monthly Notices of the Royal Astronomical Society, 425(2), 1068–1082.CrossRefGoogle Scholar
  7. Farrokhpanah A., Samareh B. and Mostaghimi J., 2015. Applying contact angle to a two-dimensional multiphase smoothed particle hydrodynamics model, Journal of Fluids Engineering, 137(4), 041303.CrossRefGoogle Scholar
  8. Gingold R.A. and Monaghan J.J., 1977. Smoothed particle hydro-dynamics: Theory and application to non-spherical stars, Monthly Notices of the Royal Astronomical Society, 181(3), 375–389.CrossRefzbMATHGoogle Scholar
  9. Gingold R.A. and Monaghan J.J., 1982. Kernel estimates as a basis for general particle methods in hydrodynamics, Journal of Computational Physics, 46(3), 429–453.MathSciNetCrossRefzbMATHGoogle Scholar
  10. Godderidge B., Turnock S., Tan M.Y. and Earl C., 2009. An investigation of multiphase CFD modelling of a lateral sloshing tank, Computers & Fluids, 38(2), 183–193.CrossRefzbMATHGoogle Scholar
  11. Gotoh H., Khayyer A., Ikari H., Arikawa T. and Shimosako K., 2014. On enhancement of Incompressible SPH method for simulation of violent sloshing flows, Applied Ocean Research, 46, 104–115.CrossRefGoogle Scholar
  12. Han L.H. and Hu X.Y., 2018. SPH modeling of fluid-structure interaction, Journal of Hydrodynamics, 30(1), 62–69.CrossRefGoogle Scholar
  13. Hashemi M.R., Fatehi R. and Manzari M.T., 2011. SPH simulation of interacting solid bodies suspended in a shear flow of an oldroyd- B fluid, Journal of Non-Newtonian Fluid Mechanics, 166(21–22), 1239–1252.CrossRefzbMATHGoogle Scholar
  14. Hashemi M.R., Fatehi R. and Manzari M.T., 2012. A modified SPH method for simulating motion of rigid bodies in Newtonian fluid flows, International Journal of Non-Linear Mechanics, 47(6), 626–638.CrossRefGoogle Scholar
  15. Hou L., Li F.C. and Wu C.L., 2012. A Numerical study of liquid sloshing in a two-dimensional tank under external excitations, Journal of Marine Science and Application, 11(3), 305–310.CrossRefGoogle Scholar
  16. Kim S.Y., Kim K.H. and Kim Y.W., 2012. Comparative study on model-scale sloshing tests, Journal of Marine Science and Technology, 17(1), 47–58.CrossRefGoogle Scholar
  17. Koshizuka S. and Oka Y., 1996. Moving-particle semi-implicit method for fragmentation of compressible fluid, Nuclear Science Engineering, 123(3), 421–434.CrossRefGoogle Scholar
  18. Lee E.S., Moulinec C., Xu R., Violeau D., Laurence D. and Stansby P., 2008. Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method, Journal of Computational Physics, 227(18), 8417–8436.MathSciNetCrossRefzbMATHGoogle Scholar
  19. Lucy L.B., 1977. A numerical approach to the testing of the fission hypothesis, Astronomical Journal, 82, 1013–1024.CrossRefGoogle Scholar
  20. Morris J.P., Fox P.J. and Zhu Y., 1997. Modeling low reynolds number incompressible flows using SPH, Journal of Computational Physics, 136(1), 214–226.CrossRefzbMATHGoogle Scholar
  21. Omidvar P. and Nikeghbali P., 2017. Simulation of violent water flows over a movable bed using smoothed particle hydrodynamics, Journal of Marine Science and Technology, 22(2), 270–287.CrossRefGoogle Scholar
  22. Ozbulut M., Tofighi N., Goren O. and Yildiz M., 2017. Investigation of wave characteristics in oscillatory motion of partially filled rectangular tanks, Journal of Fluids Engineering, 140(4), 041204.CrossRefGoogle Scholar
  23. Rahmat A., Tofighi N., Shadloo M.S. and Yildiz M., 2014. Numerical simulation of wall bounded and electrically excited rayleightaylor instability using incompressible smoothed particle hydrodynamics, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 460, 60–70.CrossRefGoogle Scholar
  24. Rostami Varnousfaaderani M. and Ketabdari M.J., 2015. Numerical simulation of solitary wave breaking and impact on seawall using a modified turbulence SPH method with Riemann solvers, Journal of Marine Science and Technology, 20(2), 344–356.CrossRefGoogle Scholar
  25. Sefid M., Fatehi R. and Shamsoddini R., 2014. A modified smoothed particle hydrodynamics scheme to model the stationary and moving boundary problems for Newtonian fluid flows, Journal of Fluids Engineering, 137(3), 031201.CrossRefGoogle Scholar
  26. Shadloo M.S., Oger G. and Le Touzé D., 2016. Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: Motivations, current state, and challenges, Computers & Fluids, 136, 11–34.MathSciNetCrossRefzbMATHGoogle Scholar
  27. Shadloo M.S., Weiss R., Yildiz M. and Dalrymple R.A., 2015. Numerical simulations of the breaking and non-breaking long waves, International Journal of Offshore and Polar Engineering, 25(1), 1–7.Google Scholar
  28. Shadloo M.S., Zainali A., Sadek S.H. and Yildiz M., 2011. Improved incompressible smoothed particle hydrodynamics method for simulating flow around bluff bodies, Computer Methods in Applied Mechanics and Engineering, 200(9–12), 1008–1020.MathSciNetCrossRefzbMATHGoogle Scholar
  29. Shadloo M.S., Zainali A. and Yildiz M., 2013. Simulation of single mode Rayleigh-Taylor instability by SPH method, Computational Mechanics, 51(5), 699–715.MathSciNetCrossRefzbMATHGoogle Scholar
  30. Shamsoddini R. and Aminizadeh N., 2017. Incompressible smoothed particle hydrodynamics modeling and investigation of fluid mixing in a rectangular stirred tank with free surface, Chemical Engineering Communications, 204(5), 563–572.CrossRefGoogle Scholar
  31. Shamsoddini R., Aminizadeh N. and Sefid M., 2015a. An improved WCSPH method to simulate the non-Newtonian power law fluid flow induced by motion of a square cylinder, Computer Modeling in Engineering & Sciences, 105(3), 209–230.Google Scholar
  32. Shamsoddini R. and Sefid M., 2015. Lagrangian simulation and analysis of the power-law fluid mixing in the two-blade circular mixers using a modified WCSPH method, Polish Journal of Chemical Technology, 17(2), 1–10.CrossRefGoogle Scholar
  33. Shamsoddini R., Sefid M. and Fatehi R., 2014. ISPH modelling and analysis of fluid mixing in a microchannel with an oscillating or a rotating stirrer, Engineering Applications of Computational Fluid Mechanics, 8(2), 289–298.CrossRefGoogle Scholar
  34. Shamsoddini R., Sefid M. and Fatehi R., 2015b. Lagrangian simulation and analysis of the micromixing phenomena in a cylindrical paddle mixer using a modified weakly compressible smoothed particle hydrodynamics method, Asia-Pacific Journal of Chemical Engineering, 10(1), 112–124.CrossRefGoogle Scholar
  35. Shamsoddini R., Sefid M. and Fatehi R., 2016. Incompressible SPH modeling and analysis of non-Newtonian power-law fluids, mixing in a microchannel with an oscillating stirrer, Journal of Mechanical Science and Technology, 30(1), 307–316.CrossRefGoogle Scholar
  36. Shao J.R., Li H.Q., Liu G.R. and Liu M.B., 2012. An improved SPH method for modeling liquid sloshing dynamics, Computers & Structures, 100–101, 18–26.CrossRefGoogle Scholar
  37. Violeau D. and Issa R., 2007. Numerical modelling of complex turbulent free-surface flows with the SPH method: An overview, International Journal for Numerical Methods in Fluids, 53(2), 277–304.MathSciNetCrossRefzbMATHGoogle Scholar
  38. Zainali A., Tofighi N., Shadloo M.S. and Yildiz M., 2013. Numerical investigation of Newtonian and non-Newtonian multiphase flows using ISPH method, Computer Methods in Applied Mechanics and Engineering, 254, 99–113.MathSciNetCrossRefzbMATHGoogle Scholar
  39. Zou C.F., Wang D.Y., Cai Z.H. and Li Z., 2015. The effect of liquid viscosity on sloshing characteristics, Journal of Marine Science and Technology, 20(4), 765–775.CrossRefGoogle Scholar

Copyright information

© Chinese Ocean Engineering Society and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringSirjan University of TechnologySirjanIran
  2. 2.Department of Chemical EngineeringSirjan University of TechnologySirjanIran

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