Computer simulation of irreversible expansions via molecular dynamics, smooth particle applied mechanics, Eulerian, and Lagrangian continuum mechanics

摘要

We simulate the far-from-equilibrium irreversible expansion or a compressed ideal gas in two space dimensions. For this problem the particle trajectories from conventional smooth particle applied mechanics are isomorphic to those from a corresponding molecular dynamics simulation. The smooth-particle "weight function" used to describe the expanding gas is identical to the pair potential governing the molecular dynamics simulation. These many-body particle simulations are compared with those using a modified smooth-particle algorithm invented by Monaghan, as well as with those based on conventional grid-bused Eulerian and Lagrangian methods. [References: 9]