Single-particle hydrodynamics in DPD: A new formulationW. Pan1, I. V. Pivkin1, 2 and G. E. Karniadakis1
1 Division of Applied Mathematics, Brown University - Providence, RI 02912 USA
2 Department of Materials Science and Engineering, Massachusetts Institute of Technology Cambridge, MA 02139 USA
received 18 June 2008; accepted in final form 28 August 2008; published October 2008
published online 26 October 2008
We present a new formulation of dissipative particle dynamics (DPD) that leads to correct hydrodynamics in flows around bluff bodies represented by a single particle. In particular, we introduce a shear drag coefficient and a corresponding term in the dissipative force, which along with the angular momentum incorporate non-central shear forces between particles and preserve angular momentum. We consider several prototype flows to verify the performance of the proposed formulation with comparisons against theoretical and continuum-based simulation results. Our method is similar to the Fluid Particle Method (FPM) of Espanol (Phys. Rev. E, 57 (1998) 2930) and it has the computational and implementation simplicity of the standard DPD approach.
02.70.Ns - Molecular dynamics and particle methods.
05.20.Jj - Statistical mechanics of classical fluids.
83.10.Rs - Computer simulation of molecular and particle dynamics.
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