This paper will describe a formalism for using correlation functions between different grid cells as the basis for determining coarse-grained hydrodynamic equations for modeling the behavior of mesoscopic fluid systems. Configuration from a molecular dynamics simulation are projected onto basis functions representing grid cells in a continuum hydrodynamic simulation. Equilbrium correlation functions between different grid cells are evaluated from the molecular simulation and used to determine the evolution operator for the coarse-grained hydrodynamic system. The formalism is applied to some simple hydrodynamic cases to determine the feasibility of applying this to realistic nanoscale systems.
Revised: May 23, 2018 |
Published: February 6, 2018
Citation
Palmer B.J. 2018.Coarse-Grained Hydrodynamics from Correlation Functions.Physical Review E 97, no. 2:Article No. 022106.PNNL-SA-115670.doi:10.1103/PhysRevE.97.022106