Modelling of solid bodies in dissipative particle dynamics

Abstract

This paper is concerned with the use of oscillating particles instead of the usual frozen particles to model a suspended particle (solid body) in a Dissipative Particle Dynamics (DPD) particle-based simulation method. A suspended particle is represented by a set of basic DPD particles connected to reference sites by linear springs. The reference sites are moved as a whole with the imposed displacement that is calculated using data from the previous time step, while the velocities of their associated DPD particles are found by solving the DPD equations at the current time step. In this way, a specified Boltzmann temperature can also be maintained in the region occupied by the suspended particles and this parameter can be utilised to control the size of suspended particles. Several numerical results in two dimensions are presented to demonstrate attractiveness of the proposed model.