Numerical study of violent LNG sloshing induced by realistic ship motions using level set method

In this paper, a numerical model is developed to investigate the liquid sloshing in a real sized rectangular LNG tank when the LNG carrier is travelling in sea conditions. The numerical model solves the Navier–Stokes equations and continuity equation by using a finite difference approximation in an arbitrary moving coordinate system to represent the two-dimensional tank under three-degree-of-freedom excitations. To track the violent movement of the free surface, the level set method is applied to simulate the liquid and gas phases simultaneously. The numerical model is validated by simulating four sloshing cases under various excitations and comparing the present results with the published experimental data and numerical solutions. The emphasis of this study is put on the numerical simulation of sloshing waves in the real sized LNG tank excited by the ship motions. To achieve this, the realistic motion RAOs of the ship in seas are applied directly as the external excitation to generate the sloshing waves. A parametric study regarding filling level, excitation frequency and wave amplitude is finally performed and discussed.

[1]  Hakan Akyildiz,et al.  Experimental investigation of pressure distribution on a rectangular tank due to the liquid sloshing , 2005 .

[2]  Ronald Fedkiw,et al.  A Boundary Condition Capturing Method for Multiphase Incompressible Flow , 2000, J. Sci. Comput..

[3]  J. W. Kim,et al.  A Three-Dimensional Finite-Element Computation for the Sloshing Impact Pressure in LNG Tank , 2003 .

[4]  W. G. Price,et al.  Numerical simulation of liquid sloshing in a partially filled container with inclusion of compressibility effects , 2009 .

[5]  S. Osher,et al.  Regular Article: A PDE-Based Fast Local Level Set Method , 1999 .

[6]  O. Faltinsen,et al.  An adaptive multimodal approach to nonlinear sloshing in a rectangular tank , 2001, Journal of Fluid Mechanics.

[7]  John R. Chaplin,et al.  Level-Set Computations of Free Surface Rotational Flows , 2005 .

[8]  Moo-Hyun Kim,et al.  A parametric sensitivity study on LNG tank sloshing loads by numerical simulations , 2007 .

[9]  Hakan Akyildiz,et al.  Nonlinear modeling of liquid sloshing in a moving rectangular tank , 2002 .

[10]  Zhi Zong,et al.  An investigation into the pressure on solid walls in 2D sloshing using SPH method , 2013 .

[11]  Yonghwan Kim,et al.  A Numerical Study on Sloshing Flows Coupled with Ship Motion—The Anti-Rolling Tank Problem , 2002 .

[12]  Kwang-Leol Jeong,et al.  Numerical simulation of three-dimensional sloshing phenomena using a finite difference method with marker-density scheme , 2011 .

[13]  Boo Cheong Khoo,et al.  Finite element analysis of two-dimensional nonlinear sloshing problems in random excitations , 2005 .

[14]  Kyuichiro Washizu,et al.  The boundary element method applied to the analysis of two‐dimensional nonlinear sloshing problems , 1981 .

[15]  J A Sethian,et al.  A fast marching level set method for monotonically advancing fronts. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[16]  Hui Li,et al.  An improved SPH method for modeling liquid sloshing dynamics , 2012 .

[17]  J. Frandsen Sloshing motions in excited tanks , 2004 .

[18]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[19]  Odd M. Faltinsen,et al.  A numerical nonlinear method of sloshing in tanks with two-dimensional flow , 1978 .

[20]  D. Peregrine Water-wave impact on walls , 2003 .

[21]  Bo-Woo Nam,et al.  Study on coupling effects of ship motion and sloshing , 2007 .

[22]  P. Moin,et al.  Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations , 1984 .

[23]  Bo-Woo Nam,et al.  Experimental and Numerical Studies on Ship Motion Responses Coupled with Sloshing in Waves , 2009 .

[24]  Tristan Perez,et al.  Simulation of Ship Motion in Seaway , 2002 .

[25]  Maurizio Brocchini,et al.  A study of violent sloshing wave impacts using an improved SPH method , 2010 .

[26]  Odd M. Faltinsen,et al.  Coupling of Sloshing and Ship Motions , 2003 .

[27]  V. C. Patel,et al.  Numerical simulation of unsteady multidimensional free surface motions by level set method , 2003 .

[28]  S. Osher,et al.  Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .

[29]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[30]  Yoshiaki Oka,et al.  A particle-gridless hybrid method for incompressible flows , 1999 .

[31]  Chan Ghee Koh,et al.  A new particle method for simulation of incompressible free surface flow problems , 2012 .

[32]  R. Eatock Taylor,et al.  Numerical simulation of sloshing waves in a 3D tank , 1998 .

[33]  S. Osher,et al.  Spatially adaptive techniques for level set methods and incompressible flow , 2006 .

[34]  Kyong-Hwan Kim,et al.  Comparative Study On Time-Domain Analysis of Ship Motions And Structural Loads In Waves , 2008 .

[35]  Danping Peng,et al.  Weighted ENO Schemes for Hamilton-Jacobi Equations , 1999, SIAM J. Sci. Comput..

[36]  George P. Huang,et al.  Numerical simulation of sloshing motion inside a two dimensional rectangular tank by level set method , 2011 .

[37]  O Faltinsen,et al.  LIQUID SLOSH IN LNG CARRIERS , 1976 .

[38]  Pengzhi Lin,et al.  A numerical study of three-dimensional liquid sloshing in tanks , 2008, J. Comput. Phys..

[39]  Roger Nokes,et al.  Time-independent finite difference analysis of fully non-linear and viscous fluid sloshing in a rectangular tank , 2005 .

[40]  Yan-bao Li,et al.  Modeling 3d Fluid Sloshing Using Level Set Method , 2005 .

[41]  H. Norman Abramson,et al.  The Dynamic Behavior of Liquids in Moving Containers. NASA SP-106 , 1966 .