Two-phase SPH simulation of fluid–structure interactions

Abstract In this paper, a two-phase Smoothed Particle Hydrodynamics (SPH) method is used to simulate the fluid–structure interactions with violent deformation of the free surface. An improved solid boundary treatment is proposed based on the accurate pressure interpolations of the inner fluid particles. The model performance is validated by sloshing in a water tank and dam break flow impact on a vertical wall. In the practical model applications, a two-dimensional wedge entry into the static water is studied, for which the flow fields of water and air phases are computed simultaneously. It has been found that both the water flow around the wedge cavity and the air flow inside are reasonably predicted. Also the two-phase model has been found to accurately provide the flow features throughout the entire entry process, while the single-phase model can only predict the flows before the closure of the cavity due to the lack of air modeling. Besides, a laboratory experiment on the wedge entry has also been carried out for the validation purposes.

[1]  A. Skillen,et al.  Incompressible smoothed particle hydrodynamics (SPH) with reduced temporal noise and generalised Fickian smoothing applied to body–water slam and efficient wave–body interaction , 2013 .

[2]  Damien Violeau,et al.  Numerical modelling of complex turbulent free‐surface flows with the SPH method: an overview , 2007 .

[3]  Hua Liu,et al.  Water Entry of a Wedge Based on Sph Model with an Improved Boundary Treatment , 2009 .

[4]  Benedict D. Rogers,et al.  Numerical predictions of water–air wave slam using incompressible–compressible smoothed particle hydrodynamics , 2015 .

[5]  Dominique Laurence,et al.  Unified semi‐analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method , 2013 .

[6]  G. Oger,et al.  Capture of Air Cushion Effects In a Wedge Water Entry SPH Simulation , 2005 .

[7]  Damien Violeau,et al.  On the maximum time step in weakly compressible SPH , 2014, J. Comput. Phys..

[8]  Hui Li,et al.  An SPH model for free surface flows with moving rigid objects , 2014 .

[9]  J. Monaghan,et al.  SPH simulation of multi-phase flow , 1995 .

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

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

[12]  Qingping Zou,et al.  Modeling Floating Object Entry and Exit Using Smoothed Particle Hydrodynamics , 2011 .

[13]  O. Faltinsen,et al.  Numerical Investigation of Air Cavity Formation During the High-Speed Vertical Water Entry of Wedges , 2013 .

[14]  Odd M. Faltinsen,et al.  Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth , 2000, Journal of Fluid Mechanics.

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

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

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

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

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

[20]  A. Peirce.  Computer Methods in Applied Mechanics and Engineering , 2010 .

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

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

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

[24]  Roland W. Lewis,et al.  A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications , 2004 .

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

[26]  Benedict D. Rogers,et al.  Investigation of wall bounded flows using SPH and the unified semi-analytical wall boundary conditions , 2013, Comput. Phys. Commun..

[27]  W. Dehnen,et al.  Improving convergence in smoothed particle hydrodynamics simulations without pairing instability , 2012, 1204.2471.

[28]  Nikolaus A. Adams,et al.  A multi-phase SPH method for macroscopic and mesoscopic flows , 2006, J. Comput. Phys..

[29]  Pengzhi Lin,et al.  A fixed-grid model for simulation of a moving body in free surface flows , 2007 .

[30]  S. Koshizuka,et al.  International Journal for Numerical Methods in Fluids Numerical Analysis of Breaking Waves Using the Moving Particle Semi-implicit Method , 2022 .

[31]  W. Yost.  Fundamentals of hearing: An introduction , 1977 .

[32]  Steven W. Smith,et al.  The Scientist and Engineer's Guide to Digital Signal Processing , 1997 .

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

[34]  Damien Violeau,et al.  Buoyancy modelling with incompressible SPH for laminar and turbulent flows , 2015 .

[35]  David Le Touzé,et al.  An Hamiltonian interface SPH formulation for multi-fluid and free surface flows , 2009, J. Comput. Phys..

[36]  Bing Ren,et al.  SPH-DEM Modeling of the Hydraulic Stability of 2D Blocks on a Slope , 2014 .

[37]  O. Faltinsen,et al.  Water entry of two-dimensional bodies , 1993, Journal of Fluid Mechanics.

[38]  Morteza Gharib,et al.  Experimental investigation of water slamming loads on panels , 2011 .

[39]  O. Faltinsen,et al.  Analysis of loads, motions and cavity dynamics during freefall wedges vertically entering the water surface , 2015 .

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

[41]  Damien Violeau,et al.  Improved Time Scheme Integration Approach for Dealing With Semi Analytical Wall Boundary Conditions in SPARTACUS2D , 2010 .

[42]  Bertrand Alessandrini,et al.  Normal flux method at the boundary for SPH , 2009 .

[43]  David Le Touzé,et al.  SPH high-performance computing simulations of rigid solids impacting the free-surface of water , 2009 .

[44]  Christophe Kassiotis,et al.  Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH , 2014, J. Comput. Phys..

[45]  Robert A. Dalrymple,et al.  Using a Three-Dimensional Smoothed Particle Hydrodynamics Method for Wave Impact on a Tall Structure , 2004 .