  This work presents the mathematical and computational aspects of a smooth
dissipative particle dynamics with dynamic virtual particle allocation method
(SDPD-DV) for modeling and simulation of mesoscopic fluids in wall-bounded
domains. The SDPD-DV method is realized with fluid particles, boundary
particles and dynamically allocated virtual particles near solid boundaries.
The physical domain in SDPD-DV contains external and internal solid boundaries,
periodic inlets and outlets, and the fluid region. The solid boundaries of the
domain are represented with boundary particles which have an assigned position,
wall velocity, and temperature upon initialization. The fluid domain is
discretized with fluid particles placed in a global index. The algorithm for
nearest neighbor particle search is based on a combination of the linked-cell
and Verlet-list approaches and utilizes large rectangular cells for
computational efficiency. The density model of a fluid particle in the
proximity of a solid boundary includes the contribution from the virtual
particles in its truncated support domain. The thermodynamic properties of a
virtual particle are identical to those of the corresponding fluid particle.
Additional verification involves SDPD-DV simulations of transient, planar,
Couette liquid water flow. The top plate is moving at and separated by 10-3 m
from the bottom stationary plate. The numerical results are in very good
agreement with the analytical solutions. Additional SDPD-DV verification is
accomplished with the simulation of a body-force driven, low-Reynolds number
flow of water over a cylinder of radius . The SDPD-DV field velocity and
pressure are compared with those obtained by FLUENT.
