Boundary Conditions for Simulating Karman Vortices Using the MPS Method

New boundary conditions to simulate the Karman vortices were developed for the Moving Particle Semi-implicit (MPS) method. These boundary conditions enable us to analyze the wake region of a cylinder without an unnatural cavity observed in past analyses. Karman vortices that were present behind a circular cylinder and a square cylinder in flows were successfully simulated in two dimensions using the MPS method with the developed boundary conditions. The simulated drag coefficients and Strouhal numbers were close to those of the finite difference method and experiments.

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

[2]  B. Schoenung,et al.  NUMERICAL CALCULATION OF LAMINAR VORTEX-SHEDDING FLOW PAST CYLINDERS , 1990 .

[3]  A. Roshko On the development of turbulent wakes from vortex streets , 1953 .

[4]  Masashi Kashiwagi,et al.  Numerical simulation of wave-induced nonlinear motions of a two-dimensional floating body by the moving particle semi-implicit method , 2008 .

[5]  Yoshiaki Oka,et al.  Numerical Analysis of Droplet Breakup Behavior using Particle Method , 2001 .

[6]  Liang-Yee Cheng,et al.  Analytical and numerical study of the effects of an elastically-linked body on sloshing , 2011 .

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

[8]  David F. Fletcher,et al.  Simulation of the Flow around Spacer Filaments between Narrow Channel Walls. 1. Hydrodynamics , 2002 .

[9]  J. Monaghan,et al.  On the dynamics of swimming linked bodies , 2009, 0911.2050.

[10]  Salvatore Marrone,et al.  Free-surface flows solved by means of SPH schemes with numerical diffusive terms , 2010, Comput. Phys. Commun..

[11]  K. Tanizawa,et al.  Transparent boundary condition for simulating nonlinear water waves by a particle method , 2011 .

[12]  M. Yildiz,et al.  Improved Incompressible Smoothed Particle Hydrodynamics method for simulating flow around bluff bodies , 2011 .

[13]  J. Ghazanfarian,et al.  A numerical investigation of fluid flow over a rotating cylinder with cross flow oscillation , 2009 .

[14]  Salvatore Marrone,et al.  An accurate SPH modeling of viscous flows around bodies at low and moderate Reynolds numbers , 2013, J. Comput. Phys..

[15]  Afzal Suleman,et al.  SPH with the multiple boundary tangent method , 2009 .

[16]  Yoshiaki Oka,et al.  Hamiltonian moving-particle semi-implicit (HMPS) method for incompressible fluid flows , 2007 .

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

[18]  L. Kovasznay,et al.  Hot-wire investigation of the wake behind cylinders at low Reynolds numbers , 1949, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[19]  Katsuji Tanizawa,et al.  Lagrangian simulations of ship-wave interactions in rough seas , 2012 .

[20]  C. Williamson Three-dimensional wake transition , 1996, Journal of Fluid Mechanics.

[21]  Tee Tai Lim,et al.  The vortex-shedding process behind two-dimensional bluff bodies , 1982, Journal of Fluid Mechanics.

[22]  Chaoqun Liu,et al.  Preconditioned Multigrid Methods for Unsteady Incompressible Flows , 1997 .

[23]  Seiichi Koshizuka,et al.  Numerical analysis of shipping water impact on a deck using a particle method , 2007 .

[24]  Joe J. Monaghan,et al.  SPH simulations of swimming linked bodies , 2008, J. Comput. Phys..

[25]  Seiichi Koshizuka,et al.  Improvement of stability in moving particle semi‐implicit method , 2011 .

[26]  Hirotada Hashimoto,et al.  An Estimation of the Anti-Rolling Tank Performance for Parametric Rolling Prevention , 2007 .

[27]  S. Green,et al.  Numerical simulation of the flow around rows of cylinders , 2006 .

[28]  D. Tritton Experiments on the flow past a circular cylinder at low Reynolds numbers , 1959, Journal of Fluid Mechanics.

[29]  Paul W. Cleary,et al.  Extension of SPH to predict feeding, freezing and defect creation in low pressure die casting , 2010 .

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

[31]  C. Williamson Vortex Dynamics in the Cylinder Wake , 1996 .

[32]  Abbas Khayyer,et al.  Modified Moving Particle Semi-implicit methods for the prediction of 2D wave impact pressure , 2009 .

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

[34]  Salvatore Marrone,et al.  Propagation of gravity waves through an SPH scheme with numerical diffusive terms , 2011, Comput. Phys. Commun..

[35]  Guirong Liu,et al.  Numerical simulation of flow past a rotationally oscillating cylinder , 2001 .

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

[37]  Mandar Tabib,et al.  Dynamics of Flow Structures and Transport Phenomena, 1. Experimental and Numerical Techniques for Identification and Energy Content of Flow Structures , 2009 .

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

[39]  Eugenio Oñate,et al.  Multi-fluid flows with the Particle Finite Element Method , 2009 .

[40]  Mihai Basa,et al.  Permeable and non‐reflecting boundary conditions in SPH , 2009 .

[41]  D. Calhoun A Cartesian Grid Method for Solving the Two-Dimensional Streamfunction-Vorticity Equations in Irregular Regions , 2002 .

[42]  S. Shao,et al.  Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves , 2008 .

[43]  Do-Hyeong Kim,et al.  Large-Eddy Simulation of Turbulent Flow Past a Square Cylinder Confined in a Channel , 2002 .

[44]  David F. Fletcher,et al.  Simulation of Unsteady Flow and Vortex Shedding for Narrow Spacer-Filled Channels , 2003 .

[45]  光弘 増田,et al.  2 次元MPS 法による岸壁近傍に設置された浮体式構造物の津波中挙動解析に関する研究 , 2009 .

[46]  Large eddy simulation of turbulent flow past a square cylinder confined in a channel , 2004 .

[47]  Katsuji Tanizawa,et al.  Three-dimensional numerical analysis of shipping water onto a moving ship using a particle method , 2009 .