A new method to impose no-slip boundary conditions in dissipative particle dynamics

Authors:
Igor V. Pivkin;George Em Karniadakis
Affiliations:
Division of Applied Mathematics, Brown University, 182 George St., Box F, Providence, RI 02912, USA;Division of Applied Mathematics, Brown University, 182 George St., Box F, Providence, RI 02912, USA
Venue:
Journal of Computational Physics
Year:
2005

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Abstract

Dissipative particle dynamics (DPD) is a potentially very effective approach in simulating mesoscale hydrodynamics. However, because of the soft potentials employed, the simple no-slip boundary conditions are difficult to impose. In this work, we first identify some of these difficulties and subsequently we propose a new method, based on an equivalent force between wall- and DPD-particles, to impose boundary conditions. We demonstrate the validity of this approach for steady problems (Poiseuille flow, lid-driven cavity) as well as for the unsteady oscillating flow over a flat plate.