A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications

Computational Mechanics

Volumn 33, Issue 4, 2004, Pages 316-325

  Kulasegaram, S ^a   Bonet, J ^b   Lewis, R W ^b   Profit, M ^b  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Contact algorithm for rigid boundaries; Meshless methods; Two dimensional sph applications; Variational formulation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; FUNCTIONS; HYDRODYNAMICS; LOADS (FORCES); MATHEMATICAL MODELS; VELOCITY;

CONTACT ALGORITHMS; MESHLESS METHODS; WEIGHTING FUNCTIONS;

COMPUTATIONAL METHODS;

EID: 3042819315     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-003-0534-0     Document Type: Article

References (26)

1. Lucy LB (1977) A numerical approach to the testing of the fission hypothesis. Astro. J. 82: 1013
2. Gingold RA, Monaghan JJ (1977) Smooth particle hydrodynamics: theory and application to non-spherical stars. Mon. Not. R. Astron. Soc. 181: 375
3. Gingold RA, Monaghan JJ (1982) Kernel estimates as a basis for general particle methods in hydrodynamics. J. Comput. Phys. 46: 429-453
4. Monaghan JJ (1994) Simulating free surface flows with SPH. J. Comput. Phys. 110: 399-406
5. Libersky LD, Petschek AG, Carney TC, Hipp JR, Allahadi FA (1993) High strain lagrangian hydrodynamics. J. Comput. Phys. 109: 67
6. Randles PW, Libersky LD (1996) Smooth particle hydrodynamics: some recent improvements and applications. Comput. Meth. Appl. Mech. Eng. 139: 375-408
7. Takeda H, Miyama SM, Sekiya M (1994) Numerical simulation of viscous flow by smoothed particle hydrodynamics. Prog. Theor. Phys. 92: 939-960
8. Monaghan JJ (1989) On the problem of penetration in particle methods. J. Comp. Phys. 82: 1-15
9. Monaghan JJ (1992) Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30: 543-574
10. Bonet J, Kulasegaram S (2000) Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Int. J. Numer. Meth. Eng. 47: 1189-1214
11. Campbell J, Vignjevic R, Libersky L (2000) A contact algorithm for smoothed particle hydrodynamics. Comput. Meth. Appl. Mech. Eng. 184: 49-65
12. Gutfraind R, Savage SB (1997) Smooth particle hydrodynamics for simulation of broken-ice fields: Mohr-Coulombtype rheology and frictional boundary conditions. J. Comput. Phys. 134: 203-215
13. Morris JP, Fox PJ, Zhu Y (1997) Modelling low Reynolds number incompressible flows using SPH. J. Comput. Phys. 136: 214-226
14. Johnson GR, Stryk RA, Beissel SR (1996) SPH for high velocity impact computations. Comput. Meth. Appl. Mech. Eng. 139: 347-373
15. Belystchko T, Neal M (1991) Contact-impact by the pinball algorithm with penalty and Lagrangian methods. Int. J. Numer. Meth. Eng. 31: 547-572
16. Chen JS, Wang HP, You Y (2000) Some recent improvements in meshfree methods for incompressible finite elasticity boundary value problems with contact. Comput. Mech. 25: 137-156
17. Chen JS, Wang HP (2000) New boundary condition treatments for meshless computations of contact problems. Comput. Meth. Appl. Mech. Eng. 187: 441-468
18. Parshikov AN, Medin SA (2002) Smoothed particle hydrodynamics using inter-particle contact algorithms. J. Comput. Phys. 180: 358-382
19. Krongauz Y, Belytschko T (1996) Consistent psuedo-derivatives in meshless methods. Comput. Meth. Appl. Mech. Eng. 146: 371-386
20. Bonet J, Lok TS (1999) Varational and momentum aspects of smooth particle hydrodynamics formulations. Comput. Meth. Appl. Mech. Eng. 180: 97-115
21. Bonet J, Kulasegaram S (2002) A simplified approach to enhance the performance of smooth particle hydrodynamics methods. Appl. Math. Compt. 126: 133-155
22. Henderson FM (1966) Open channel flow. Collier-Macmillan Publishing Company, London
23. Stoker JJ (1957) Water waves: the mathematical theory with applications. Interscience Publishers, New York
24. Harlow FH, Amsden AA (1970) Fluid dynamics: an introductory text. Los Alamos Science Laboratory LA-4100
25. Schmid M, Klein F (1995) Fluid flow in die cavities -experimental and numerical simulation. NADCA 18. Int. Die Casting Congress and Exposition, October 2-5, 1995 Indianapolis, Paper No. I-T
26. Navti SE, Ravindran K, Taylor C, Lewis RW (1997) Finite element modelling of surface tension effects using Lagrangian-Eulerian kinematic description. Comput. Meth. Appl. Mech. Eng. 147: 41-60