Improved MPS method with variable‐size particles

Summary Using variable-size particles in the moving particle semi-implicit method (MPS) could lead to inaccurate predictions and/or numerical instability. In this paper, a variable-size particle moving particle semi-implicit method (VSP-MPS) scheme is proposed for the MPS method to achieve more reliable simulations with variable-size particles. To improve stability and accuracy, a new gradient model is developed based on a previously developed MPS scheme that requires no surface detection MPS. The dynamic particle coalescing and splitting algorithm is revised to achieve dynamic multi-resolution. A cubic spline function with additional function is employed as the kernel function. The effectiveness of the VSP-MPS method is demonstrated by three verification examples, that is, a hydrostatic pressure problem, a complicated free surface flow problem with large deformation, and a dynamic impact problem. The new VSP-MPS scheme with variable-size particles is found to have balanced efficiency and accuracy that is suitable for simulating large systems with complex flow patterns. Copyright © 2015 John Wiley & Sons, Ltd.

[1]  Guang Xi,et al.  Improving stability of MPS method by a computational scheme based on conceptual particles , 2014 .

[2]  Yoshiaki Oka,et al.  Numerical analysis of fragmentation mechanisms in vapor explosions , 1999 .

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

[4]  Benedict D. Rogers,et al.  Smoothed Particle Hydrodynamics: Approximate zero‐consistent 2‐D boundary conditions and still shallow‐water tests , 2012 .

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

[6]  B. Rogers,et al.  SPH Modeling of Shallow Flow with Open Boundaries for Practical Flood Simulation , 2012 .

[7]  K. Y. Lam,et al.  Constructing smoothing functions in smoothed particle hydrodynamics with applications , 2003 .

[8]  Tamás Tél,et al.  Turbulent drag reduction in dam-break flows , 2004 .

[9]  Benedict D. Rogers,et al.  Accurate particle splitting for smoothed particle hydrodynamics in shallow water with shock capturing , 2012 .

[10]  Masayuki Tanaka,et al.  Stabilization and smoothing of pressure in MPS method by Quasi-Compressibility , 2010, J. Comput. Phys..

[11]  TEST-CASE NO 17: DAM-BREAK FLOWS ON DRY AND WET SURFACES (PN, PA, PE) , 2004 .

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

[13]  Benedict D. Rogers,et al.  Variable resolution for SPH: A dynamic particle coalescing and splitting scheme , 2013 .

[14]  J. Monaghan.  On the problem of penetration in particle methods , 1989 .

[15]  Yuichi Yamamoto,et al.  Analysis of Subcooled Boiling with the Two-Fluid Particle Interaction Method , 2003 .

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

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