Current Achievements and Future Perspectives on Particle Simulation Technologies for Fluid Dynamics and Heat Transfer

The Moving Particle Semi-implicit (MPS) method is one of the particle methods in which continuum mechanics is analyzed using the concept of particles. Since meshes are not used, large deformation of free surfaces and material interfaces can be simulated without the problems of mesh distortion. Thus, the MPS method has been applied to multiphase flow analysis in nuclear engineering. The advantages of the particle methods are also useful for applications in other engineering fields: ship engineering, civil engineering, microflow, biomechanics, visualization, etc. In this review, calculation examples are described and classified. Commercial codes have been released and applied in industries. The particle methods are also used in TV programs, movies, and computer games. Combinations of numerical techniques for multiphysics problems, fast calculations, and high-quality visualizations are expected to lead to real-time particle simulations for various new applications in the near future.

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

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

[3]  H. Gotoh Application of the MPS method for predication of armorblock stability in front of stepped seawall with drainage , 2007 .

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

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

[6]  Hitoshi Gotoh,et al.  NUMERICAL SIMULATION OF FLOW WITH FLEXIBLE VEGETATION BY PARTICLE METHOD , 2008 .

[7]  Yoshiaki Oka,et al.  Numerical simulation on void bubble dynamics using moving particle semi-implicit method , 2009 .

[8]  Hitoshi Gotoh,et al.  LAGRANGIAN FLOW SIMULATION WITH SUB-PARTICLE-SCALE TURBULENCE MODEL , 2000 .

[9]  Jie Liu,et al.  A Hybrid Particle-Mesh Method for Viscous , Incompressible , Multiphase Flows , 2003 .

[10]  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.

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

[12]  Seiichi Koshizuka,et al.  Numerical Simulation of Solid-Liquid Flows Involving Free Surface by DEM-MPS Method , 2008 .

[13]  Masashi Kashiwagi,et al.  A hybrid technique using particle and boundary-element methods for wave-body interaction problems , 2007 .

[14]  J. C. Martin An experimental study of the collapse of liquid column on a rigid horizontal plane , 1952 .

[15]  Yoshiaki Oka,et al.  Numerical computation of thermally controlled steam bubble condensation using Moving Particle Semi-implicit (MPS) method , 2010 .

[16]  Minoru Hayashi,et al.  NUMERICAL SIMULATION OF WAVE OVERTOPPING ON A VERTICAL SEAWALL BY USING MPS METHOD , 2003 .

[17]  Seiichi Koshizuka Next Generation Safety Analysis Methods for SFRs—(1) Brief Introduction of the Project and Basic Study for Algorithm of Particle Method , 2009 .

[18]  Ernst Hairer,et al.  Simulating Hamiltonian dynamics , 2006, Math. Comput..

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

[20]  Yoshiaki Oka,et al.  Numerical Analysis of Fragmentation Processes of Liquid Metal in Vapor Explosions Using Moving Particle Semi-implicit Method. , 1998 .

[21]  Seiichi Koshizuka,et al.  Numerical Analysis of Droplet Impingement Using the Moving Particle Semi-implicit Method , 2010 .

[22]  Y. Chikazawa,et al.  Numerical Analysis of Three-dimensional Sloshing in an Elastic Cylindrical Tank using Moving Particle Semi-implicit Method , 2001 .

[23]  Francis H. Harlow,et al.  PIC and its progeny , 1987 .

[24]  Yasuaki Doi,et al.  Numerical Simulation of Dynamic Response of Structure Caused by Wave Impact Pressure Using an Eulerian Scheme With Lagrangian Particles , 2009 .

[25]  Takahiro Harada,et al.  Smoothed particle hydrodynamics in complex shapes , 2007, SCCG.

[26]  Peter Griffith,et al.  The mechanism of heat transfer in nucleate pool boiling—Part II: The heat flux-temperature difference relation , 1965 .

[27]  S. Koshizuka,et al.  Direct simulation of flashing liquid jets using the MPS method , 2006 .

[28]  Yuichi Yamamoto,et al.  Analysis of Flows around a BWR Spacer by the Two-Fluid Particle Interaction Method , 2002 .

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

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

[31]  Hitoshi Gotoh,et al.  Numerical Simulation of Washed Process of Girder Bridge by Tsunami Run-up , 2007 .

[32]  Shigeo Wada,et al.  Particle method for computer simulation of red blood cell motion in blood flow , 2006, Comput. Methods Programs Biomed..

[33]  Hitoshi Gotoh,et al.  LAGRANGIAN SIMULATION OF BREAKING WAVES USING PARTICLE METHOD , 1999 .

[34]  Yoshiaki Oka,et al.  Numerical analysis of the onset of droplet entrainment in annular two-phase flow by hybrid method , 2010 .

[35]  Yoshiaki Oka,et al.  Simulation of drop deposition process in annular mist flow using three-dimensional particle method , 2005 .

[36]  W. Benz Smooth Particle Hydrodynamics: A Review , 1990 .

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

[38]  Takahiro Harada,et al.  Sliced data structure for particle-based simulations on GPUs , 2007, GRAPHITE '07.

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

[40]  P. Griffith,et al.  The mechanism of heat transfer in nucleate pool boiling—Part I: Bubble initiaton, growth and departure , 1965 .

[41]  Yoshiaki Oka,et al.  Numerical Analysis of Sloshing with Large Deformation of Elastic Walls and Free Surfaces Using MPS method. , 1999 .

[42]  S. Koshizuka Application of Moving Particle Semi-implicit Method to Nuclear Reactor Safety , 2001 .

[43]  Markus H. Gross,et al.  Particle-based fluid simulation for interactive applications , 2003, SCA '03.

[44]  Paul Meakin,et al.  Modeling of surface tension and contact angles with smoothed particle hydrodynamics. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[45]  Takahiro Harada,et al.  Massive particles: particle-based simulations on multiple GPUs , 2008, SIGGRAPH '08.

[46]  Yoshiaki Oka,et al.  Two-dimensional simulation of drop deformation and breakup at around the critical Weber number , 2003 .

[47]  Yoshiaki Oka,et al.  Modeling the Wetting Effects in Droplet Impingement using Particle Method , 2007 .

[48]  秀実 陸田,et al.  Lagrange 粒子付Euler 型スキームを用いた衝撃圧による構造物の動的応答解析 , 2008 .

[49]  Yoshiaki Oka,et al.  Simulation of a Single Bubble Rising with Hybrid Particle-Mesh Method , 2007 .

[50]  Takahiro Harada,et al.  Real-time Fluid Simulation Coupled with Cloth , 2007, TPCG.

[51]  Yoshiaki Oka,et al.  Numerical analysis of boiling on high heat-flux and high subcooling condition using MPS-MAFL , 2002 .

[52]  Hitoshi Gotoh,et al.  NUMERICAL SIMULATION OF RIVER-EMBANKMENT EROSION DUE TO OVERFLOW BY PARTICLE METHOD , 2008 .

[53]  Takahiro Harada,et al.  Simulation of Droplet Generation in Micro Flow Using MPS Method , 2006 .

[54]  Hitoshi Gotoh,et al.  SPH-LES MODEL FOR WAVE DISSIPATION USING A CURTAIN WALL , 2003 .

[55]  Teruo Fujii,et al.  Numerical simulation of adhesion of cells in micro channels using the MPS method , 2006 .

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

[57]  Hirotaka Sakai,et al.  DEVELOPMENT OF SEEPAGE FAILURE ANALYSIS METHOD OF GROUND WITH SMOOTHED PARTICLE HYDRODYNAMICS , 2006 .

[58]  Seiichi KOSHIZUKA,et al.  Numerical Simulation of Liquid Drop Deposition in Annular-Mist Flow Regime of Boiling Water Reactor , 2004 .

[59]  Yoshiharu Tobita,et al.  The Effect of Bubble Size on the Radial Distribution of Void Fraction in Two-Phase Flow in a Circular Tube , 2001 .

[60]  J. R. Buchler,et al.  The numerical modelling of nonlinear stellar pulsations: problems and prospects. Proceedings. , 1990 .

[61]  Takahiro Harada,et al.  Real-time particle-based simulation on GPUs , 2007, SIGGRAPH '07.

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

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

[64]  Yee-Chung Jin,et al.  A weakly compressible MPS method for modeling of open‐boundary free‐surface flow , 2009 .

[65]  Takahiro Harada,et al.  Parallelization of Particle-based Simulations , 2007 .

[66]  Yuichi Yamamoto,et al.  R&D of the Next Generation Safety Analysis Methods for Fast Reactors With New Computational Science and Technology: 1 — Introduction of the Project and Development of Structural Mechanics Module , 2008 .

[67]  Yasushi Okano,et al.  Analysis of Jet Flows with the Two-Fluid Particle Interaction Method , 2001 .

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

[69]  Seiichi KOSHIZUKA,et al.  Improvement of Wall Boundary Calculation Model for MPS Method , 2008 .

[70]  Yoshiaki Oka,et al.  A particle method for elastic and visco-plastic structures and fluid-structure interactions , 2001 .

[71]  Shengyao Jiang,et al.  Numerical Analyses of Flashing Jet Structure and Droplet Size Characteristics , 2006 .

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

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

[74]  Yoshiaki Oka,et al.  Modelling of a single drop impact onto liquid film using particle method , 2004 .

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

[76]  Hiroshige Kikura,et al.  Study on Solid-Liquid Two-Phase Flow on PWR Sump Clogging Issue , 2010 .

[77]  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 .

[78]  Tsunakiyo Iribe,et al.  143 Flow analysis of fresh concrete using MPS method , 2006 .

[79]  Takahiro Harada,et al.  Fast Rendering of Particle-Based Fluid by Utilizing Simulation Data , 2009, Eurographics.

[80]  Yoshiaki Oka,et al.  Direct calculation of bubble growth, departure, and rise in nucleate pool boiling , 2001 .

[81]  Yoshiaki Oka,et al.  Numerical and Theoretical Investigation of Effect of Density Ratio on the Critical Weber Number of Droplet Breakup , 2003 .

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

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

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

[85]  Minoru Hayashi,et al.  LAGLANGIAN COUPLING FOR SOLID-LIQUID TWO PHASE FLOW BY DEM-MPS METHOD , 2003 .

[86]  Hitoshi Gotoh,et al.  COMPUTATIONAL DYNAMICS OF STREAM IN UNDERGROUND STAIRCASE BY THREE-DIMENSIONAL PARTICLE METHOD , 2007 .

[87]  Seiichi KOSHIZUKA,et al.  Numerical Analysis of Jet Breakup Behavior Using Particle Method , 2004 .

[88]  Yuichi Yamamoto,et al.  Next Generation Safety Analysis Methods for SFRs—(6) SCARABEE BE+3 Analysis With SIMMER-III and COMPASS Codes Featuring Duct-Wall Failure , 2009 .

[89]  Hitoshi Gotoh,et al.  Development of CMPS Method for Accurate Water-Surface Tracking in Breaking Waves , 2008 .

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

[91]  Werner Maschek,et al.  The Development of SIMMER-III, An Advanced Computer Program for LMFR Safety Analysis, and Its Application to Sodium Experiments , 2006 .

[92]  Seiichi Koshizuka,et al.  Numerical simulation of a micro-dispenser using the MPS method , 2007 .

[93]  Shuai Zhang,et al.  Next Generation Safety Analysis Methods for SFRs—(4) Development of a Computational Framework on Fluid-Solid Mixture Flow Simulations for the COMPASS Code , 2009 .

[94]  Hitoshi Gotoh,et al.  PRESSURE ANALYSIS OF DAM-BREAK AND WAVE-BREAKING BY SPH MODEL , 2003 .

[95]  Yoshiaki Oka,et al.  A Mesh-Free Numerical Method for Direct Simulation of Gas-Liquid Phase Interface , 1999 .

[96]  Hitoshi Gotoh,et al.  Sub-particle-scale turbulence model for the MPS method , 2001 .

[97]  Ross T. Whitaker,et al.  Particle‐Based Simulation of Fluids , 2003, Comput. Graph. Forum.

[98]  Eiji Ishii,et al.  Spray Simulations of Fuel Injector for Automobile Engines , 2006 .

[99]  Takahiro Harada,et al.  Real-time Coupling of Fluids and Rigid Bodies , 2007 .

[100]  Yuichi Yamamoto,et al.  Analysis of the Void Distribution in a Circular Tube with the Two-Fluid Particle Interacthion Method , 2001 .

[101]  Seiichi KOSHIZUKA,et al.  Numerical Analysis of Jet Injection Behavior for Fuel-Coolant Interaction using Particle Method , 2001 .