REFERENCES
- C. W. Hirt , A. A. Amsden , and J. L. Cook , An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , J. Comput. Phys. , vol. 14 , pp. 227 – 253 , 1974 .
- F. H. Harlow and J. E. Welch , Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with a Free Surface , Phys. Fluids , vol. 8 , pp. 2182 – 2189 , 1965 .
- C. W. Hirt and B. D. Nichols , Volume of Fluid (VOF) Method for Dynamics of Free Boundaries , J. Comput. Phys. , vol. 39 , pp. 201 – 221 , 1981 .
- S. Osher and R. P. Fedkiw , Level Set Methods: An Overview and Some Recent Results , J. Comput. Phys. , vol. 169–2 , pp. 463 – 502 , 2001 .
- F. H. Harlow , A Machine Calculation Method for Hydrodynamic Problems , Los Alamos Sci. Lab. Report LAMS-1956 , 1955 .
- L. B. Lucy , A Numerical Approach to the Testing of the Fission Hypothesis , Astr. J. , vol. 82 , pp. 1013 – 1024 , 1977 .
- R. R. Gingold and J. J. Monagham , Smoothed Particle Hydrodynamics: Theory and Application to Non-Spherical Stars , Astr. J. , vol. 181 , pp. 375 – 389 , 1977 .
- J. J. Monaghan , Simulating Free Surface Flows with SPH, J. Comput. Phys. , vol. 110, pp. 399–406, 1994.
- S. Koshizuka , H. Tamako , and Y. Oka , A Particle Method for Incompressible Viscous Flow with Fluid Fragmentation , CFD J. , vol. 4 , pp. 29 – 46 , 1995 .
- Y. H. Hwang , A Moving Particle Method with Embedded Pressure Mesh (MPPM) for Incompressible Flow Calculation , Numer. Heat Transfer B , vol. 60 , pp. 370 – 398 , 2011 .
- Y. H. Hwang , Smoothing Difference Scheme in a Moving Particle Method , Numer. Heat Transfer B , vol. 60 , pp. 203 – 234 , 2011 .
- B. Ataie-Ashtiani and L. Farhadi , A Stable Moving-Particle Semi-Implicit Method for Free Surface Flows , Fluid Dyn. Res. , vol. 38 , pp. 241 – 256 , 2006 .
- S. Zhang , K. Morita , K. Fukuda , and N. Shirakawa , An Improved MPS Method for Numerical Simulations of Convective Heat Transfer Problems , Int. J. Numer. Meth. Fluids , vol. 51 , pp. 31 – 47 , 2006 .
- T. Belytschko , Y. Krongaux , D. Organ , M. Fleming , and P. Krys , Meshless Methods: An Overview and Recent Developments , Comput, Meth. Appl. Mech. Eng. , vol. 139 , pp. 3 – 47 , 1996 .
- S. Koshizuka and Y. Oka , Moving-Particle Semi-implicit Method for Fragmentation of Incompressible Fluids , Nucl. Sci. Eng. , vol. 123 , pp. 421 – 434 , 1996 .
- S. Kohizuka , A. Nobe , and Y. Oka , Numerical Analysis of Breaking Waves Using the Moving Particle Semi-implicit Method , Int. J. Numer. Meth. Fluids , vol. 26 , pp. 751 – 769 , 1998 .
- C. L. Huang , T. W. H. Sheu , T. Ishikawa , and T. Yamaguchi , Development of a Particle Interaction Kernel for Convection-Diffusion Scalar Transport Equation , Numer. Heat Transfer B , vol. 60 , pp. 96 – 115 , 2011 .
- T. W. H. Sheu , C. H. Yu , and P. H. Chiu , Development of a Dispersively Accurate Conservative Level Set Scheme for Capturing Interface in Two-Phase Flows , J. Comput. Phys. , vol. 228 , pp. 661 – 686 , 2009 .
- U. Ghia , K. N. Ghia , and C. T. Shin , High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method , J. Comput. Phys. , vol. 48 , pp. 387 – 411 , 1982 .