A new kinetic equation for dense gases
نویسندگان
چکیده
Alexander, Garcia and Alder [1] introduced the Consistent Boltzmann Algorithm (CBA) as a simple variant of Direct Simulation Monte Carlo (DSMC) for dense gases. In CBA, collisions alter both the positions and velocities of the particles. In the present work the limiting kinetic equation for CBA is derived; the formulation is similar to the proof that the Boltzmann equation is the limiting kinetic equation for DSMC [11]. The relation between this new kinetic equation and the Enskog equation is outlined.
منابع مشابه
Ja n 19 99 Normal solution to the Enskog - Landau kinetic equation . Boundary conditions method
Nonstationary and nonequilibrium processes are considered on the basis of an Enskog-Landau kinetic equation using a boundary conditions method. A nonsta-tionary solution of this equation is found in the pair collision approximation. This solution takes into account explicitly the influence of long-range interactions. New terms to the transport coefficients are identified. An application of the ...
متن کاملInvestigation of transfer coefficients for many - component dense systemsof neutral and charged hard spheres
Investigation of transfer processes in dense weakly or fully ionized many-component gases is topical in view of construction and improvement of new gaseous lasers, plasmo-chemical reactors for ozone synthesis, and air cleaning of both nitrogen and carbon oxides and chlorine compounds. A study and calculation of transfer coefficients taking into account the interparticle interaction nature is on...
متن کاملKinetic equation for a dense soliton gas.
We propose a general method to derive kinetic equations for dense soliton gases in physical systems described by integrable nonlinear wave equations. The kinetic equation describes evolution of the spectral distribution function of solitons due to soliton-soliton collisions. Owing to complete integrability of the soliton equations, only pairwise soliton interactions contribute to the solution, ...
متن کاملThe limiting kinetic equation of the Consistent Boltzmann Algorithm for dense gases
This paper establishes a theoretical foundation for the Consistent Boltzmann Algorithm (CBA) by deriving the limiting kinetic equation. The formulation is similar to the proof by one of the authors that the Boltzmann equation is the limiting kinetic equation for Direct Simulation 66 1011 (1992)]. For a simpliied model distilled from CBA, the limiting equation is solved numerically, and very goo...
متن کاملModerately dense gas quantum kinetic theory: Aspects of pair correlations
A recently formulated density corrected quantum Boltzmann equation emphasizes the need to explicitly include pair correlations and the conversion of kinetic energy to potential energy as important effects in the kinetic theory of moderately dense gases. This paper first considers an appropriate evolution equation for the pair correlations which includes their decay via interactions with other p...
متن کامل