A kinetic ux-splitting procedure used in conjunction with local ther-modynamic equilibrium in a nite volume allows us to investigate numerically discrete-velocity gas ows. The procedure, outlined for a general discrete-velocity gas, is used to simulate ows of the nine-velocity gas, a simple two dimensional multiple-speed discrete-velocity gas, wherein a mul-tiplicity of speeds ensures nontrivia...

Generating perfect samples from distributions using Markov chains has a wide range of applications , from statistical physics to approximation algorithms. In perfect sampling algorithms, a sample is drawn exactly from the stationary distribution of a chain, as opposed to methods that run the chain \for a long time" and create samples drawn from a distribution that is close to the stationary dis...

According to the present situations that the construction amount of the gas drainage boreholes in mining seam is large and the gas drainage effect in low permeability coal seams doesn’t yield perfect, the hydraulic reaming technology in mining seam is proposed to increase the gas drainage efficiency. Through the gas flow method, the effective influence radius of hydraulic reaming is determined....

It is known that Einstein's equations in general relativity provide explicit expressions for the density, pressure and velocity of a perfect gas in terms of the coefficients of the metric (the potentials) and hence in terms of the coordinates. Using orthogonal space-times, the expressions involve four potentials only between which consistency relations hold. It is shown how degeneration of the ...