Comparative study of different SPH schemes on simulating violent water wave impact flows

Free surface flows are of significant interest in Computational Fluid Dynamics (CFD). However, violent water wave impact simulation especially when free surface breaks or impacts on solid wall can be a big challenge for many CFD techniques. Smoothed Particle Hydrodynamics (SPH) has been reported as a robust and reliable method for simulating violent free surface flows. Weakly compressible SPH (WCSPH) uses an equation of state with a large sound speed, and the results of the WCSPH can induce a noisy pressure field and spurious oscillation of pressure in time history for wave impact problem simulation. As a remedy, the truly incompressible SPH (ISPH) technique was introduced, which uses a pressure Poisson equation to calculate the pressure. Although the pressure distribution in the whole field obtained by ISPH is smooth, the stability of the techniques is still an open discussion. In this paper, a new free surface identification scheme and solid boundary handling method are introduced to improve the accuracy of ISPH. This modified ISPH is used to study dam breaking flow and violent tank sloshing flows. On the comparative study of WCSPH and ISPH, the accuracy and efficiency are assessed and the results are compared with the experimental data.

[1]  P. Cleary,et al.  CONDUCTION MODELING USING SMOOTHED PARTICLE HYDRODYNAMICS , 1999 .

[2]  Masashi Kashiwagi,et al.  Numerical simulation of violent sloshing by a CIP-based method , 2006 .

[3]  Zhi Zong,et al.  Smoothed particle hydrodynamics for numerical simulation of underwater explosion , 2003 .

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

[5]  Xing Zheng,et al.  Simulation of Breaking Waves By Using an Improved SPH Method , 2012 .

[6]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .

[7]  P. Cleary,et al.  Conduction Modelling Using Smoothed Particle Hydrodynamics , 1999 .

[8]  Q. W. Ma,et al.  A new meshless interpolation scheme for MLPG_R method , 2008 .

[9]  Rui Gao,et al.  Numerical modelling of regular wave slamming on subface of open-piled structures with the corrected SPH method , 2012 .

[10]  S. A. Medin,et al.  Smoothed Particle Hydrodynamics Using Interparticle Contact Algorithms , 2002 .

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

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

[13]  Edmond Y.M. Lo,et al.  Simulation of near-shore solitary wave mechanics by an incompressible SPH method , 2002 .

[14]  Huai-xin Zhang,et al.  Moving-Particle Semi-Implicit Method for Vortex Patterns and Roll Damping of 2D Ship Sections , 2008 .

[15]  Nikolaus A. Adams,et al.  An incompressible multi-phase SPH method , 2007, J. Comput. Phys..

[16]  Joseph John Monaghan,et al.  SPH and Riemann Solvers , 1997 .

[17]  Huai-xin Zhang,et al.  Numerical simulation of sloshing with large deforming free surface by MPS-LES method , 2012 .

[18]  S. Cummins,et al.  An SPH Projection Method , 1999 .

[19]  S. Shao,et al.  INCOMPRESSIBLE SPH METHOD FOR SIMULATING NEWTONIAN AND NON-NEWTONIAN FLOWS WITH A FREE SURFACE , 2003 .

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

[21]  C. K. Thornhill,et al.  Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane , 1952, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[22]  Xing Zheng,et al.  A new scheme for identifying free surface particles in improved SPH , 2012 .

[23]  Zhang A-Man,et al.  Numerical simulation of underwater contact explosion , 2012 .

[24]  Juntao Zhou,et al.  MLPG_R Method for Numerical Simulation of 2D Breaking Waves , 2009 .

[25]  Murray Rudman,et al.  Comparative study on the accuracy and stability of SPH schemes in simulating energetic free-surface flows , 2012 .

[26]  Songdong Shao,et al.  Incompressible SPH simulation of water entry of a free‐falling object , 2009 .

[27]  Liang,et al.  Modelling Solitary Waves and Its Impact on Coastal Houses with SPH Method , 2010 .

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

[29]  Rui Xu,et al.  Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method , 2008, J. Comput. Phys..

[30]  D. Graham,et al.  Simulation of wave overtopping by an incompressible SPH model , 2006 .

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

[32]  A. Colagrossi,et al.  δ-SPH model for simulating violent impact flows , 2011 .

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