Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid

References

• E. MEIBURG, “Comparison of the Molecular Dynamics Method and the Direct Simulation Monte Carlo Technique for Flows Around Simple Geometries,” Phys. Fluids, 29, 3107 (1986).
   Web of Science ®Google Scholar
• G. A. BIRD, “Direct Simulation of High-Vorticity Gas Flows,” Phys. Fluids, 30, 364 (1987).
   Web of Science ®Google Scholar
• U. FRISCH, D. D’HUMIERES, B. HASSLACHER, P. LALLEMAND, Y. POMEAU, and J.-P. RIVET, “Lattice Gas Hydrodynamics in Two and Three Dimensions,” Complex Sys., 1, 649 (1987).
   Google Scholar
• B. J. DALY, F. H. HARLOW, J. E. WELCH, E. N. WILSON, and E. E. SANMANN, “Numerical Fluid Dynamics Using the Particle-and-Force Method,” LA-3144, Los Alamos National Laboratory (1965).
   Google Scholar
• R. A. GINGOLD and J. J. MONAGHAN, “Kernel Estimates as a Basis for General Particle Methods in Hydrodynamics,” J. Comput. Phys., 46, 429 (1982).
   Web of Science ®Google Scholar
• J. J. MONAGHAN and R. A. GINGOLD, “Shock Simulation by the Particle Method SPH,” J. Comput. Phys., 52, 374 (1983).
   Web of Science ®Google Scholar
• J. J. MONAGHAN, “An Introduction to SPH,” Comput. Phys. Commun., 48, 89 (1988).
   Web of Science ®Google Scholar
• W. BENZ, “Smoothed Particle Hydrodynamics: A Review,” The Numerical Modeling of Nonlinear Stellar Pulsations—Problems and Prospects, p. 269, Kluwer Academic Publishers, Norwell, Massachusetts (1989).
   Google Scholar
• E. A. C. HENNEKEN and V. ICKE, “SPH Faces Emery’s Jump,” Comput. Phys. Commun., 74, 239 (1993).
   Google Scholar
• L. D. LIBERSKY, A. G. PETSCHEK, T. C. CARNEY, J. R. HIPP, and F. A. ALLAHDADI, “High Strain Lagrangian Hydrodynamics—A Three-Dimensional SPH Code for Dynamic Material Response,” J. Comput. Phys., 109, 67 (1993).
   Web of Science ®Google Scholar
• J. T. BATINA, “A Gridless Euler/Navier-Stokes Solution Algorithm for Complex Aircraft Applications,” AIAA Paper 93-0333, American Institute of Aeronautics and Astronautics (1993).
   Google Scholar
• T. BELYTSCHKO, Y. Y. LU, and L. GU, “Element-Free Galerkin Methods,” Int. J. Numer. Methods Eng., 37, 229 (1994).
   Web of Science ®Google Scholar
• Y. Y. LU, T. BELYTSCHKO, and L. GU, “A New Implementation of the Element Free Galerkin Method,” Comput. Methods Appl. Mech. Eng., 113, 397 (1994).
   Web of Science ®Google Scholar
• T. BELYTSCHKO, L. GU, and Y. Y. LU, “Fracture and Crack Growth by Element Free Galerkin Methods,” Modeling Simul. Mater. Sci. Eng., 2, 519 (1994).
   Web of Science ®Google Scholar
• F. T. HARPER, E. D. GORHAM, and M. S. EL-GENK, “Simulation of Liquid Drop Breakup Behavior in a Flow Field Using Discrete Element Techniques,” Proc. 5th Int. Topi. Mtg. Reactor Thermal Hydraulics, Salt Lake City, Utah, September 21–24, 1992, Vol. II, p. 605, American Nuclear Society (1992).
   Google Scholar
• F. H. HARLOW and J. E. WELCH, “Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface,” Phys. Fluids, 8, 2182 (1965).
   Web of Science ®Google Scholar
• M. W. EVANS and F. H. HARLOW, “The Particle-in-Cell Method for Hydrodynamic Calculations,” LA-2139, Los Alamos National Laboratory (1957).
   Google Scholar
• J. U. BRACKBILL and H. M. RUPPEL, “FLIP: A Method for Adaptively Zoned, Particle-in-Cell Calculations of Fluid Flows in Two Dimensions,” J. Comput. Phys., 65, 314 (1986).
   Web of Science ®Google Scholar
• K. UMEGAKI, S. TAKAHASHI, and K. MIKI, “Numerical Simulation of Incompressible Viscous Flow Using Particle Method,” Suchi Kaiseki, 43, 17 (1992).
   Google Scholar
• S. KOSHIZUKA, H. TAMAKO, and Y. OKA, “A Particle Method for Simulating Incompressible Viscous Flow,” Proc. Extended Abstracts 3rd World Congress Computational Mechanics (WCCM III), Chiba, Japan, August 1–5, 1994, p. 1880.
   Google Scholar
• S. KOSHIZUKA, Y. OKA, and H. TAMAKO, “A Particle Method for Calculating Splashing of Incompressible Viscous Fluid,” Proc. Int. Conf. Mathematics and Computations, Reactor Physics, and Environmental Analyses, Portland, Oregon, April 30–May 4, 1995, p. 1514, American Nuclear Society (1995).
   Google Scholar
• S. KOSHIZUKA, H. TAMAKO, and Y. OKA, “A Particle Method for Incompressible Viscous Flow with Fluid Fragmentation,” Comput. Fluid Dynamics J., 4, 29 (1995).
   Google Scholar
• C. W. HIRT and B. D. NICHOLS, “Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,” J. Comput. Phys., 39, 201 (1981).
   Web of Science ®Google Scholar
• B. RAMASWAMY and M. KAWAHARA, “Lagrangian Finite Element Analysis Applied to Viscous Free Surface Fluid Flow,” Int. J. Numer. Methods Fluids, 1, 953 (1987).
   Google Scholar
• J. C. MARTIN and W. J. MOYCE, “An Experimental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane,” Philos. Trans. R. Soc. London Ser. A, 244, 312 (1952).
   Web of Science ®Google Scholar
• W. MASCHEK, C. D. MUNZ, and L. MEYER, “Investigations of Sloshing Fluid Motions in Pools Related to Recriticalities in Liquid-Metal Fast Breeder Reactor Core Meltdown Accidents,” Nucl. Technol., 98, 27 (1992).
   Web of Science ®Google Scholar
• C. HIRSCH, Numerical Computation of Internal and External Flows, John Wiley & Sons, New York (1988).
   Google Scholar