Numerical simulations of sloshing flows with elastic baffles by using a particle-based fluid–structure interaction analysis method

Abstract Sloshing flows in rolling tanks with elastic baffles are simulated using a modified particle-based fluid–structure interaction (FSI) solver. The modifications correspond to a newly proposed scheme for calculation of the fluid force on structure, and incorporation of a previously developed free-surface assessment scheme in the fluid model. To verify the fluid model, a violent sloshing flow is simulated and the results are compared with the related experimental data ( Delorme et al., 2009 ) both qualitatively and quantitatively. Then, the FSI solver is applied to a comprehensive set of experiments of sloshing flow with elastic baffles ( Idelsohn et al., 2008 ). The effects of baffles on the sloshing phenomena are studied by performing simulations corresponding to without any baffle, a rigid baffle and a set of flexible baffles.

[1]  Matteo Antuono,et al.  Theoretical analysis and numerical verification of the consistency of viscous smoothed-particle-hydrodynamics formulations in simulating free-surface flows. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Gary A. Dilts,et al.  Moving least‐squares particle hydrodynamics II: conservation and boundaries , 2000 .

[3]  Yong Liu,et al.  Experimental study on sloshing in a tank with an inner horizontal perforated plate , 2014 .

[4]  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 .

[5]  Ming Zhao,et al.  Two-dimensional viscous numerical simulation of liquid sloshing in rectangular tank with/without baffles and comparison with potential flow solutions , 2015 .

[6]  Krish Thiagarajan,et al.  An SPH projection method for simulating fluid-hypoelastic structure interaction , 2009 .

[7]  Takahiro Harada,et al.  Elastic objects for computer graphic field using MPS method , 2007, SIGGRAPH '07.

[8]  Changhong Hu,et al.  A coupled FDM–FEM method for free surface flow interaction with thin elastic plate , 2013 .

[9]  Hitoshi Gotoh,et al.  Wave Impact Pressure Calculations by Improved SPH Methods , 2009 .

[10]  Damien Violeau,et al.  Optimal time step for incompressible SPH , 2015, J. Comput. Phys..

[11]  Hitoshi Gotoh,et al.  Enhancement of stability and accuracy of the moving particle semi-implicit method , 2011, J. Comput. Phys..

[12]  Taro Arikawa,et al.  On enhancement of Incompressible SPH method for simulation of violent sloshing flows , 2014 .

[13]  Ted Belytschko,et al.  Finite Element Study of Pressure Wave Attenuation by Reactor Fuel Subassemblies , 1975 .

[14]  E. Oñate,et al.  Interaction between an elastic structure and free-surface flows: experimental versus numerical comparisons using the PFEM , 2008 .

[15]  Hitoshi Gotoh,et al.  Enhancement of performance and stability of MPS mesh-free particle method for multiphase flows characterized by high density ratios , 2013, J. Comput. Phys..

[16]  S. Koshizuka,et al.  Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid , 1996 .

[17]  Jørgen Juncher Jensen,et al.  Non-linear springing excitation due to a bidirectional wave field , 2005 .

[18]  van de Fn Frans Vosse,et al.  An overlapping domain technique coupling spectral and finite elements for fluid flow , 2014 .

[19]  Hitoshi Gotoh,et al.  ENHANCED PREDICTIONS OF WAVE IMPACT PRESSURE BY IMPROVED INCOMPRESSIBLE SPH METHODS , 2009 .

[20]  Hitoshi Gotoh,et al.  Development of a fully Lagrangian MPS-based coupled method for simulation of fluid-structure interaction problems , 2014 .

[21]  Sung-Chul Hwang,et al.  Two-Dimensional Particle Simulation for Behaviors of Floating Body near Quaywall during Tsunami , 2014 .

[22]  Salvatore Marrone,et al.  Fast free-surface detection and level-set function definition in SPH solvers , 2010, J. Comput. Phys..

[23]  Seiichi Koshizuka,et al.  Fluid-shell structure interaction analysis by coupled particle and finite element method , 2007 .

[24]  Benjamin Bouscasse,et al.  Mechanical energy dissipation induced by sloshing and wave breaking in a fully coupled angular motion system. II. Experimental investigation , 2014 .

[25]  Benjamin Bouscasse,et al.  Mechanical energy dissipation induced by sloshing and wave breaking in a fully coupled angular motion system. Part I: Theoretical formulation and Numerical Investigation , 2013 .

[26]  Kevin J. Maki,et al.  Strongly coupled fluid―structure interaction method for structural loads on surface ships , 2009 .

[27]  Rainald Löhner,et al.  Three-dimensional fluid-structure interaction using a finite element solver and adaptive remeshing , 1990 .

[28]  Qi Zhang,et al.  A numerical study of the effects of the T-shaped baffles on liquid sloshing in horizontal elliptical tanks , 2016 .

[29]  Jan Vierendeels,et al.  Partitioned simulation of the interaction between an elastic structure and free surface flow , 2010 .

[30]  P. M. Guilcher,et al.  Simulations of Hydro-Elastic Impacts Using a Parallel SPH Model , 2010 .

[31]  Xin Liu,et al.  An ISPH simulation of coupled structure interaction with free surface flows , 2014 .

[32]  C. Antoci,et al.  Numerical simulation of fluid-structure interaction by SPH , 2007 .

[33]  Abbas Khayyer,et al.  A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method , 2010 .

[34]  Ping Dong,et al.  Wave Impact Simulations by an Improved ISPH Model , 2014 .

[35]  Moo-Hyun Kim,et al.  Step-by-step improvement of MPS method in simulating violent free-surface motions and impact-loads , 2011 .

[36]  V. Parthasarathy,et al.  A fully automated Chimera methodology for multiple moving body problems , 2000 .

[37]  K. Paik,et al.  Fluid–structure interaction for an elastic structure interacting with free surface in a rolling tank , 2014 .

[38]  L. Y. Cheng,et al.  Dynamic analises of elastic structures by using moving particle semi-implicit method (MPS) , 2009 .

[39]  Gabriele Bulian,et al.  A set of canonical problems in sloshing. Part 2: Influence of tank width on impact pressure statistics in regular forced angular motion , 2015 .

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

[41]  A. Colagrossi,et al.  Theoretical considerations on the free-surface role in the smoothed-particle-hydrodynamics model. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[42]  A. Colagrossi,et al.  Nonlinear water wave interaction with floating bodies in SPH , 2013 .

[43]  Songdong Shao,et al.  Numerical study of PPE source term errors in the incompressible SPH models , 2015 .