Comparison of experimental and numerical sloshing loads in partially filled tanks

Sloshing describes the movement of liquids inside partially filled tanks, generating dynamic loads on the tank structure. The resulting impact pressures are of great importance in assessing structural strength, and their correct evaluation still represents a challenge for the designer due to the high level of nonlinearities involved, with complex free surface deformations, violent impact phenomena and influence of air trapping. In the present paper, a set of two-dimensional cases, for which experimental results are available, is considered to assess the merits and shortcomings of different numerical methods for sloshing evaluation, namely two commercial RANS solvers (FLOW-3D and LS-DYNA), and two academic software (Smoothed Particle Hydrodynamics and RANS). Impact pressures at various critical locations and global moment induced by water motion in a partially filled rectangular tank, subject to a simple harmonic rolling motion, are evaluated and predictions are compared with experimental measurements.

[1]  E W Graham,et al.  The Characteristics of Fuel Motion which Affect Airplane Dynamics , 1951 .

[2]  L. van Wijngaarden,et al.  Non-linear oscillations of fluid in a container , 1965, Journal of Fluid Mechanics.

[3]  A. D. Young,et al.  An Introduction to Fluid Mechanics , 1968 .

[4]  Grg Lewison OPTIMUM DESIGN OF PASSIVE ROLL STABILIZER TANKS , 1976 .

[5]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[6]  M. Mcpherson,et al.  Introduction to fluid mechanics , 1997 .

[7]  J. Monaghan Simulating Free Surface Flows with SPH , 1994 .

[8]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

[9]  A. Chorin A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .

[10]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[11]  S. Osher,et al.  An improved level set method for incompressible two-phase flows , 1998 .

[12]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[13]  Alain Cariou,et al.  Liquid sloshing in ship tanks: a comparative study of numerical simulation , 1999 .

[14]  Tzung-hang Lee,et al.  Numerical Simulations of Hydraulic Jumps in Water Sloshing and Water Impacting , 2002 .

[15]  T. E. Schellin,et al.  Sloshing in rectangular and cylindrical tanks , 2002 .

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

[17]  J. Abedi,et al.  Comparison of finite element and pendulum models for simulation of sloshing , 2003 .

[18]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics: A Meshfree Particle Method , 2003 .

[19]  Nicolas Aquelet,et al.  A new ALE formulation for sloshing analysis , 2003 .

[20]  Odd M. Faltinsen,et al.  Resonant three-dimensional nonlinear sloshing in a square-base basin , 2003, Journal of Fluid Mechanics.

[21]  Roger Grimshaw,et al.  Water Waves , 2021, Mathematics of Wave Propagation.

[22]  A. Colagrossi,et al.  Numerical simulation of interfacial flows by smoothed particle hydrodynamics , 2003 .

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

[24]  Odd M. Faltinsen,et al.  Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 2. Effect of higher modes , 2005, Journal of Fluid Mechanics.

[25]  C. Lévi-Strauss,et al.  Experimental investigation , 2013 .

[26]  W. G. Price,et al.  A simulation of free surface waves for incompressible two‐phase flows using a curvilinear level set formulation , 2006 .

[27]  G. Oger,et al.  Two-dimensional SPH simulations of wedge water entries , 2006, J. Comput. Phys..

[28]  Antonio Souto-Iglesias,et al.  Liquid moment amplitude assessment in sloshing type problems with smooth particle hydrodynamics , 2006 .

[29]  Maurizio Brocchini,et al.  Wave impact loads: The role of the flip-through , 2006 .

[30]  Torgeir Moan,et al.  Extreme sloshing and whipping-induced pressures and structural response in membrane LNG tanks , 2007 .

[31]  Ould el Moctar,et al.  Simulation of Sloshing in LNG Tanks , 2007 .

[32]  Stefano Brizzolara,et al.  Evaluation of Slamming Loads on Ship Bow Section Adopting SPH and RANSE Method , 2007 .

[33]  W. G. Price,et al.  Numerical Simulation of Liquid Sloshing In LNG Tanks Using a Compressible Two-Fluid Flow Model , 2009 .

[34]  S. Brizzolara,et al.  Evaluation of slamming loads using smoothed particle hydrodynamics and Reynolds-averaged Navier—Stokes methods , 2009 .

[35]  Andrea Colagrossi,et al.  A set of canonical problems in sloshing, Part I: Pressure field in forced roll-comparison between experimental results and SPH , 2009 .

[36]  Stephen R. Turnock,et al.  The effect of fluid compressibility on the simulation of sloshing impacts , 2009 .

[37]  W. G. Price,et al.  Numerical simulation of liquid sloshing phenomena in partially filled containers , 2009 .

[38]  Min-Cheol Ryu,et al.  An Experimental Investigation of Hydrodynamic Impact On 2-D LNGC Models , 2009 .

[39]  Ould el Moctar,et al.  Simulation of Sloshing in LNG-Tanks , 2009 .

[40]  Henrik Bredmose,et al.  Violent breaking wave impacts. Part 2: modelling the effect of air , 2009, Journal of Fluid Mechanics.

[41]  Jean-Michel Ghidaglia,et al.  A two-fluid model for violent aerated flows , 2008, 0806.0757.

[42]  Antonio Souto-Iglesias,et al.  A set of canonical problems in sloshing. Part 0: Experimental setup and data processing , 2011 .