Modified incompressible SPH method for simulating free surface problems

Fluid Dynamics Research

Volumn 40, Issue 9, 2008, Pages 637-661

  Ataie Ashtiani, B ^a   Shobeyri, G ^a   Farhadi, L ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Dam break; Incompressible flow; Lagrangian method; Numerical method

Indexed keywords

FLOW FIELDS; FLUID DYNAMICS; FLUID MECHANICS; INCOMPRESSIBLE FLOW; POISSON DISTRIBUTION; SURFACES;

CONTINUITY EQUATIONS; DAM BREAKING; DAM-BREAK; FREE SURFACE PROBLEMS; FREE SURFACES; GOVERNING EQUATIONS; INCOMPRESSIBLE FLUIDS; LAGRANGIAN; LAGRANGIAN METHOD; MECHANICAL PROBLEMS; MOMENTUM CONSERVATIONS; NEW FORMS; NUMERICAL METHOD; RELATIVE VELOCITIES; SMOOTHED PARTICLE HYDRODYNAMICS; SOURCE TERMS; SPH METHODS; TEST PROBLEMS; VELOCITY FIELDS;

POISSON EQUATION;

EID: 49549116874     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fluiddyn.2007.12.001     Document Type: Article

References (25)

1. Ataie-Ashtiani B., and Farhadi L. A stable moving-particle semi-implicit method for free surface flows. Fluid Dyn. Res. 38 4 (2006) 241-256
2. Ataie-Ashtiani B., and Shobeiry G. Numerical simulation of landslide impulsive waves by Smooth Particle Hydrodynamics. Int. J. Numer. Meth. Fluids 56 2 (2008) 209-232
3. Farhadi, L., Ataie-Ashtiani, B. 2004a. Improved MPS method for simulating water flow with irregular free surface. In: XV International Conference on Computational Methods in Water Resources, Chapel-Hill, USA, June 13-27, pp. 1743-53.
4. Farhadi, L., Ataie-Ashtiani, B. 2004b. A fully mesh-less Lagrangian numerical method for prediction of free water surface. In: International Conference on Hydraulics of Dams & River Structures, Tehran, Iran, April 26-28, pp. 345-352.
5. Gedik N., Irtema E., and Kabdaslib S. Laboratory investigation on tsunami run-up. Ocean Eng. 32 (2005) 513-528
6. Gingold R.A., and Monaghan J.J. Smoothed particle hydrodynamics: theory and application to non spherical stars. Mon. Not. R. Astron. Soc. 181 (1977) 375-389
7. Gomez-Gesteria M., and Dalrymple R. Using a three-dimensional smoothed particle hydrodynamics method for wave impact on a tall structure. J. Waterw. Port. Coastal Eng. 130 2 (2004) 63-69
8. Hall, J.V., Watts, J.W. 1953. Laboratory investigation of the vertical rise of solitary waves on impermeable slopes. Technical Memorandum 33, Beach Erosion Board, Office of the Chief of Engineers, U.S. Army Corps of Engineers.
9. Harlow F.H., and Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. J. Phys. Fluids. 8 12 (1965) 322-329
10. Hirt C.W., and Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39 (1981) 201-225
11. Koshizuka S., and Oka Y. Moving-particle semi-implicit method for fragmentation of incompressible fluid. J. Nucl. Sci. Eng. 123 (1996) 421-434
12. Koshizuka S., Nobe A., and Oka Y. Numerical analysis of breaking waves using the moving particle semi-implicit method. Int. J. Numer. Meth. Fluids 26 (1998) 751-769
13. Koshizuka S., Ikeda H., and Oka Y. Numerical analysis of fragmentation mechanisms in vapor explosion. Nucl. Eng. Des. 189 (1999) 423-433
14. Lin P.Z., Chang K.A., and Philip L.F. Runup and rundown of solitary waves on sloping beaches. J. Waterw. Port. Coastal Ocean Eng. ASCE 125 5 (1999) 247-255
15. Liu G.R. Mesh Free Methods: Moving Beyond the Finite Element Method (2003), Chemical Rubber, Boca Raton, FL
16. Lo E.Y.M., and Shao S.D. Simulation of near-shore solitary wave mechanics by an incompressible SPH method. Appl. Ocean Res. 24 (2002) 275-286
17. Martin J.C., and Moyce W.J. An experimental study of the collapse of liquid columns on a rigid horizontal plane. Philos. Trans. R. Soc. London Ser. A 244 (1952) 312-324
18. Monaghan J.J. Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30 (1992) 543-574
19. Monaghan J.J. Simulating free surface flows with SPH. J. Comput. Phys. 110 (1994) 399-406
20. Monaghan J.J. Gravity currents and solitary waves. Physica D 98 (1996) 523-533
21. Monaghan J.J., and Kos A. Solitary waves on a Cretan beach. J. Waterw. Port. Coastal Ocean Eng. 125 3 (1999) 145-154
22. Shao S.D., and Gotoh H. Turbulence particle models for tracking free surfaces. J. Hydraul. Res. 43 3 (2005) 276-289
23. Shao S.D., and Lo E.Y.M. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Adv. Water Resour. 26 7 (2003) 787-800
24. Synolakis, C.E. 1986. The run-up of long waves. Ph.D. Thesis, California Institute of Technology, Pasadena, CA, USA.
25. Sussman M. A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles. J. Comput. Phys. 187 (2003) 110-136