Hybrid model for combined particle and continuum dynamics
- 1 November 2000
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 52 (3), 271-276
- https://doi.org/10.1209/epl/i2000-00434-8
Abstract
Differential equations for continuum fields describe many macroscopic phenomena. Hydrodynamics, for example, is described by the Navier-Stokes equations, and their solutions depend on boundary conditions. However, boundary conditions are set by the inter actions at the atomistic or molecular scale. We introduce a "hybrid model" that permits a continuum description in one region to be coupled to an atomistic description in another region. The coupling is symmetric in the sense that the fluxes of the conserved quantities are continuous across the particle-field interface. As an example, we couple a Lennard-Jones liquid and the compressible Navier-Stokes equations and show that the hybrid model is consistent with hydrodynamic predictions.Keywords
This publication has 15 references indexed in Scilit:
- From Molecular Dynamics to Dissipative Particle DynamicsPhysical Review Letters, 1999
- Spanning the length scales in dynamic simulationComputers in Physics, 1998
- A multi-scale atomistic-continuum modelling of crack propagation in a two-dimensional macroscopic plateJournal of Physics: Condensed Matter, 1998
- Heterogeneous Atomistic-Continuum Representations for Dense Fluid SystemsInternational Journal of Modern Physics C, 1997
- Hydrodynamics from dissipative particle dynamicsPhysical Review E, 1995
- Continuum Deductions from Molecular HydrodynamicsAnnual Review of Fluid Mechanics, 1995
- Iterated Instabilities during Droplet FissionPhysical Review Letters, 1994
- Simulating Microscopic Hydrodynamic Phenomena with Dissipative Particle DynamicsEurophysics Letters, 1992
- Origin of Stick-Slip Motion in Boundary LubricationScience, 1990
- Dynamic Fracture MechanicsPublished by Cambridge University Press (CUP) ,1990