Model for nonequilibrium computer simulation methods

JW Dufty, A Santos, JJ Brey, RF Rodriguez - Physical Review A, 1986 - APS
Several methods for nonequilibrium computer simulation of plane Couette flow are analyzed
by kinetic theory. The boundary-value problem for the nonlinear Boltzmann equation is …

Nonlinear transport processes and fluid dynamics: Cylindrical Couette flow of Lennard-Jones fluids

RE Khayat, BC Eu - Physical Review A, 1988 - APS
In this paper we report on calculations of flow profiles for cylindrical Couette flow of a
Lennard-Jones fluid. The flow is subjected to a temperature gradient and thermoviscous …

Computer ''experiment''for nonlinear thermodynamics of Couette flow

DJ Evans - The Journal of Chemical Physics, 1983 - pubs.aip.org
Nonequilibrium computer simulations reveal that the equation of state of fluids undergoing
shear flow, varies with strain rate. This observation prompted the development of a nonlinear …

Analysis of nonlinear transport in Couette flow

CS Kim, JW Dufty, A Santos, JJ Brey - Physical Review A, 1989 - APS
Abstract The nonlinear Bhatnagar, Gross, and Krook [Phys. Rev. 94, 511 (1954)] kinetic
equation is solved for boundary conditions leading to planar Couette flow and heat …

Exact moment solution of the Boltzmann equation for uniform shear flow

A Santos, V Garzó - Physica A: Statistical Mechanics and its Applications, 1995 - Elsevier
The Ikenberry-Truesdell exact solution to the Boltzmann equation for Maxwell molecules is
revisited. This solution refers to a state characterized by a linear profile of the velocity flow …

Analysis of cylindrical Couette flows by use of the direction simulation method

K Nanbu - The Physics of fluids, 1984 - pubs.aip.org
Cylindrical Couette flows of a rarefied gas are analyzed by use of Bird's direct‐simulation
method. An extremely large sample size is employed to reduce the statistical fluctuations of …

Tagged particle fluctuations in uniform shear flow

MC Marchetti, JW Dufty - Journal of statistical physics, 1983 - Springer
Abstract The nonlinear Boltzmann and Boltzmann-Lorentz equations are used to describe
the dynamics of a tagged particle in a nonequilibrium gas. For the special case of Maxwell …

Stochastic hydrodynamic theory for one-component systems

L Brenig, C Van den Broeck - Physical Review A, 1980 - APS
A nonlinear diffusion approximation for a previously derived master equation describing an
inhomogeneous Boltzmann gas in a lumped phase space is proposed. A fluctuating kinetic …

On a simulation scheme for the Boltzmann equation

H Babovsky, H Neunzert - Mathematical methods in the applied …, 1986 - Wiley Online Library
On a simulation scheme for the Boltzmann equation Page 1 Math. Meth. in the Appl. Sci. 8 (1986)
223-233 0 1986 B. G. Teubner Stuttgart On a Simulation Scheme for the Boltzmann Equation …

Generalized hydrodynamics, normal-stress effects, and velocity slips in the cylindrical Couette flow of Lennard-Jones fluids

RE Khayat, BC Eu - Physical Review A, 1989 - APS
In this paper we extend the previous study of flow profiles in cylindrical Couette flow of a
Lennard-Jones fluid so as to include the effects of normal stresses neglected in the previous …