A METHOD FOR NEAR-EQUILIBRIUM DISCRETE-VELOCITY GAS-FLOWS

[摘要] We present a simulation scheme for discrete-velocity gases based on local thermodynamic equilibrium. Exploting the kinetic nature of discrete-velocity gases, in that context, results in a natural splitting of fluxes, and the resultant scheme strongly resembles the original process. The kinetic nature of the scheme and the modeling of the infinite collision rate limit, result in a small value of the coefficient of (numerical)-viscosity, the behavior of which is remarkably physical. A first-order method and two second-order methods using the total variation diminishing principle are developed and an example application is presented. Given the same computer resources, it is expected that with this approach, a much higher Reynold's number will be achievable than presently possible with either lattice gas automata or lattice Boltzmann approaches. The ideas being general, the scheme is applicable to any discrete-velocity model and to lattice gases as well. (C) 1994 Academic Press, Inc.

[发布日期] 1994-05-01