An improved SPH method: Towards higher order convergence

Journal of Computational Physics

Volumn 225, Issue 2, 2007, Pages 1472-1492

  Oger, G ^a   Doring, M ^a   Alessandrini, B ^a   Ferrant, P ^a  

^a LABORATOIRE DE MÉCANIQUE DES FLUIDES   (France)

Author keywords

Free surface considerations; New SPH formulation; Renormalization; SPH convergence

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS;

CONVERGENCE AND STABILITY; EULER'S EQUATION; FREE SURFACE CONSIDERATION; FREE SURFACES; HIGH-ORDER CONVERGENCE; IMPROVED SPH; NEW SPH FORMULATION; RENORMALIZATION; SPH CONVERGENCE; SPH METHODS;

COMPUTATIONAL METHODS;

EID: 34547506762     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.01.039     Document Type: Article

References (21)

1. Monaghan J.J. Simulating free surface flows with SPH. Journal of Computational Physics 110 (1994) 399-406
2. Oger G., Doring M., Ferrant P., and Alessandrini B. Two-dimensional SPH simulations of wedge water entries. Journal of Computational Physics 213 (2006) 803-822
3. Shintate K., and Sekine H. Numerical simulation of hypervelocity impacts of a projectile on laminated composite plate targets by means of improved SPH method. Composites Part A: Applied Science and Manufacturing 35 (2004) 683-692
4. Bonet J., Kulasegaram S., Rodriguez-Paz M., and Profit M. Variational formulation for the smooth particle hydrodynamics (SPH) simulation of fluid and solid problems. Computer Methods in Applied Mechanics Engineering 193 (2004) 1245-1256
5. Libersky L.D., Petschek A.G., Carney T.C., Hipp J.R., and Allahdadi F.A. High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response. Journal of Computational Physics 109 (1993) 67-75
6. J.P. Vila, A. Rompteaux, Calcul du tossage avec Smart Fluids un code de calcul particulaire compressible, in: Proceedings des 7emes Journées de l'Hydrodynamique, 1999.
7. Belytschko T., Kongrauz Y., Dolbow J., and Gerlach C. On the completeness of meshfree particle methods. International Journal of Numerical and Mechanical Engineering 43 (1998) 785-819
8. Bonet J., and Lok T.S.L. Variational and momentum preservation aspects of smooth particle hydrodynamics formulations. Computer Methods in Applied Mechanics Engineering 180 (1999) 97-115
9. Vila J.P. On particle weighted methods and SPH. Mathematical Models and Methods in Applied Sciences 9 (1999) 161-210
10. Johnson G.R., and Beissel S.R. Normalized smoothing functions for impact computations. International Journal of Numerical Methods and Engineering 39 (1996) 2725-2741
11. Randles R.W., and Libersky L.D. Smoothed particle hydrodynamics: Some recent improvements and applications. Computer Methods in Applied Mechanics Engineering 139 (1996) 375-408
12. Monaghan J.J. Smoothed particle hydrodynamics. Annual Review of Astronomy and Astrophysics 30 (1992) 543-574
13. Monaghan J.J. SPH and Riemann solvers. Journal of Computational Physics 136 (1997) 298-307
14. Colagrossi A., and Landrini M. Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Journal of Computational Physics 191 (2003) 448-475
15. M. Doring, Développement d'une méthode SPH pour les applications à surface libre en hydrodynamique, Ph.D. thesis, Ecole Centrale de Nantes, June 2005.
16. Morris J.P., and Monaghan J.J. A switch to reduce SPH viscosity. Journal of Computational Physics 136 (1997) 41-50
17. A. Colagrossi, A meshless Lagrangian method for free-surface and interface flows with fragmentation, Ph.D. thesis, Universita di Roma La Sapienza, 2005.
18. D. LeTouzé, A. Colagrossi, Free-surface prototype problems suitable to investigate particle methods, in: Proceedings of the 20th International Workshop on Water Waves and Floating Bodies, 2005.
19. Swegle J.W., Hicks D.L., and Attaway S.W. Smoothed particle hydrodynamics stability analysis. Journal of Computational Physics 116 (1995) 123-134
20. J.P. Morris, Analysis of smoothed particle hydrodynamics with applications, Ph.D. thesis, Department of Mathematics, Monash University, July 1996.
21. Monaghan J.J. SPH without a tensile instability. Journal of Computational Physics 159 (2000) 290-311