ABSTRACT
In this study, a domain re-decomposition hybrid atomistic-continuum method is developed to conduct a multiscale/multiphase investigation on the bubble nucleation. In addition to the conventional coupling scheme, this method is capable of re-partitioning the molecular and continuum domains once it is necessary during the simulation. Giving the fact that the accurate modeling of interface tracking and phase change are still problematic for continuum mechanics on microscale, our coupling method directly avoids these issues since CFD domain takes care of a single-phase flow while the molecular domain simulates the bubble growth.
Nomenclature
Aj | = | cross-section area |
Cp | = | heat capacity |
E | = | Lennard–Jones potential energy |
f | = | conservative force on atom |
I | = | identity matrix |
k | = | Boltzmann constant |
m | = | mass of atom |
N | = | total number of atoms |
P | = | atoms number to be inserted |
r | = | distance between two atoms |
rc | = | cutoff distance |
= | average velocity of molecules | |
uif | = | normal velocity at the boundary of CFD |
= | atoms initial average potential energy | |
= | atoms average potential energy at time t | |
v | = | velocity |
V | = | region volume |
ε | = | depth of potential well |
μ | = | dynamic viscosity |
ρ | = | fluid density |
σ | = | zero-crossing distance for the potential |
τ | = | coupling interval |
Subscripts | = | |
i | = | cell index i |
j | = | atom index j |
l | = | liquid |
Nomenclature
Aj | = | cross-section area |
Cp | = | heat capacity |
E | = | Lennard–Jones potential energy |
f | = | conservative force on atom |
I | = | identity matrix |
k | = | Boltzmann constant |
m | = | mass of atom |
N | = | total number of atoms |
P | = | atoms number to be inserted |
r | = | distance between two atoms |
rc | = | cutoff distance |
= | average velocity of molecules | |
uif | = | normal velocity at the boundary of CFD |
= | atoms initial average potential energy | |
= | atoms average potential energy at time t | |
v | = | velocity |
V | = | region volume |
ε | = | depth of potential well |
μ | = | dynamic viscosity |
ρ | = | fluid density |
σ | = | zero-crossing distance for the potential |
τ | = | coupling interval |
Subscripts | = | |
i | = | cell index i |
j | = | atom index j |
l | = | liquid |
Acknowledgment
The authors greatly appreciate the support of the Office of Naval Research under Grant No. N00014-14-1-0402.