Search results
Results From The WOW.Com Content Network
Some formulations for the Grüneisen parameter include: = = = = = ( ) where V is volume, and are the principal (i.e. per-mass) heat capacities at constant pressure and volume, E is energy, S is entropy, α is the volume thermal expansion coefficient, and are the adiabatic and isothermal bulk moduli, is the speed of sound in the medium ...
Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) is a molecular dynamics program from Sandia National Laboratories. [1] LAMMPS makes use of Message Passing Interface (MPI) for parallel communication and is free and open-source software , distributed under the terms of the GNU General Public License .
A table of virial coefficients for up to eight dimensions can be found on the page Hard sphere: virial coefficients. [ 1 ] Phase diagram of hard sphere system (Solid line - stable branch, dashed line - metastable branch): Pressure P {\displaystyle P} as a function of the volume fraction (or packing fraction) η {\displaystyle \eta }
Schematic of D2Q9 lattice vectors for 2D Lattice Boltzmann. Unlike CFD methods that solve the conservation equations of macroscopic properties (i.e., mass, momentum, and energy) numerically, LBM models the fluid consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice.
In inhomogeneous systems the pressure depends on the position and orientation of the surface on which the pressure acts. Therefore, in inhomogeneous systems a definition of a local pressure is needed. [5] As a general example for a system with inhomogeneous pressure you can think of the pressure in the atmosphere of the earth which varies with ...
As originally formulated by Benjamin Widom in 1963, [1] the approach can be summarized by the equation: = = where is called the insertion parameter, is the number density of species , is the activity of species , is the Boltzmann constant, and is temperature, and is the interaction energy of an inserted particle with all other particles in the system.
The pressure value that is attempted to compute, is such that when plugged into momentum equations a divergence-free velocity field results. The mass imbalance is often also used for control of the outer loop. The name of this class of methods stems from the fact that the correction of the velocity field is computed through the pressure-field.
Constant-pressure simulations are useful for determining the equation of state of a pure system. Monte Carlo simulations using the N p T {\displaystyle NpT} -ensemble are particularly useful for determining the equation of state of fluids at pressures of around 1 atm, where they can achieve accurate results with much less computational time ...