A splitting scheme for highly dissipative smoothed particle dynamics

Journal of Computational Physics

Volumn 229, Issue 15, 2010, Pages 5457-5464

  Litvinov, S ^a   Ellero, M ^a,b   Hu, X Y ^a   Adams, N A ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

Author keywords

Operator splitting; Schmidt number; Smoothed dissipative particle dynamics; Smoothed particle hydrodynamics

Indexed keywords

HYDRODYNAMICS; SHEAR FLOW; SUPERCONDUCTING MATERIALS;

DISSIPATIVE PARTICLE DYNAMICS; MACROSCOPIC FLOW; MESOSCOPICS; OPERATOR-SPLITTING; PARTICLE DYNAMICS; SCHMIDT NUMBERS; SMOOTHED DISSIPATIVE PARTICLE DYNAMIC; SMOOTHED PARTICLE HYDRODYNAMICS; SPLITTINGS; TIME STEP;

DISSIPATIVE PARTICLE DYNAMICS;

EID: 77953124798     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.03.040     Document Type: Article

References (24)

1. Monaghan J.J. Smoothed particle hydrodynamics. Rep. Prog. Phys. 2005, 68(8):1703-1759.
2. Español P., Revenga M. Smoothed dissipative particle dynamics. Phys. Rev. E 2003, 67(2):26705.
3. Hu X., Adams N. A multi-phase SPH method for macroscopic and mesoscopic flows. J. Comput. Phys. 2006, 213(2):844-861.
4. Hoogerbrugge P., Koelman J. Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics. Europhys. Lett. 1992, 19(3):155-160.
5. Symeonidis V., Karniadakis G.E., Caswell B. Dissipative particle dynamics simulations of polymer chains: scaling laws and shearing response compared to DNA experiments. Phys. Rev. Lett. 2005, 95(7):76001.
6. Symeonidis V., Karniadakis G.E. A family of time-staggered schemes for integrating hybrid dpd models for polymers: algorithms and applications. J. Comput. Phys. 2006, 218(1):82-101.
7. Peters E.A.J.F. Elimination of time step effects in DPD. Europhys. Lett. 2004, 66(3):311-317.
8. Jiang W.H., Huang J.H., Wang Y.M., Laradji M. Hydrodynamic interaction in polymer solutions simulated with dissipative particle dynamics. J. Chem. Phys. 2007, 126(4):44901.
9. Litvinov S., Ellero M., Hu X., Adams N. Smoothed dissipative particle dynamics model for polymer molecules in suspension. Phys. Rev. E 2008, 77(6):66703.
10. Vázquez-Quesada A., Ellero M., Español P. Consistent scaling of thermal fluctuations in smoothed dissipative particle dynamics. J. Chem. Phys. 2009, 130:034901.
11. Groot R.D., Warren P.B. Dissipative particle dynamics: bridging the gap between atomistic and mesoscopic simulation. J. Chem. Phys. 1997, 107(11):4423-4435.
12. Symeonidis V., Karniadakis G., Caswell B. Schmidt number effects in dissipative particle dynamics simulation of polymers. J. Chem. Phys. 2006, 125:184902.
13. Pagonabarraga I., Hagen M., Frenkel D. Self-consistent dissipative particle dynamics algorithm. Europhys. Lett. 1998, 42(4):377-382.
14. Lowe C. An alternative approach to dissipative particle dynamics. Europhys. Lett. 1999, 47:145-151.
15. Shardlow T. Splitting for dissipative particle dynamics. SIAM J. Sci. Comput. 2003, 24(4):1267-1282.
16. Nikunen P., Karttunen M., Vattulainen I. How would you integrate the equations of motion in dissipative particle dynamics simulations?. Comput. Phys. Commun. 2003, 153(3):407-423.
17. Monaghan J. Implicit SPH drag and dusty gas dynamics. J. Comput. Phys. 1997, 138(2):801-820.
18. Morris J.P., Fox P.J., Zhu Y. Modeling low Reynolds number incompressible flows using sph. J. Comput. Phys. 1997, 136(1):214-226.
19. Grmela M., Öttinger H. Dynamics and thermodynamics of complex fluids. I: Development of a general formalism. Phys. Rev. E 1997, 56(6):6620-6632.
20. Öttinger H., Grmela M. Dynamics and thermodynamics of complex fluids. II: Illustrations of a general formalism. Phys. Rev. E 1997, 56(6):6633-6655.
21. Whitehouse S., Bate M. Smoothed particle hydrodynamics with radiative transfer in the flux-limited diffusion approximation. Mon. Not. R. Astron. Soc. 2004, 353(4):1078-1094.
22. Thalmann F., Farago J. Trotter derivation of algorithms for brownian and dissipative particle dynamics. J. Chem. Phys. 2007, 127(12):124109.
23. Lees A., Edwards S. The computer study of transport processes under extreme conditions. J. Phy. C: Solid State Phys. 1972, 5:1921-1928.
24. Millan J.A., Laradji M. Cross-stream migration of driven polymer solutions in nanoscale channels: a numerical study with generalized dissipative particle dynamics. Macromolecules 2009, 42(3):803-810.