Exact Solutions of a Discrete Velocity Model of a Gas With Molecules Dissociation
We propose an elementary discrete velocity model of a gas, describing dissociation of diatomic molecules. We found exact analytical solutions to the following problems: 1) wave propagation in an unbounded domain; 2) boundary value problem with boundary conditions admitting sources on the walls.
R. MONACO and M. PANDOLFI BIANCHI, A discrete velocity model for gases with chemical reactions of dissociation and recombination, in: Proc. Conference in Honour of H. Cabannes, [Ed.] R. GATIGNOL, Springer, Berlin 1990 (in press).
E. GABETTA and R. MONACO, On the modelling of the discrete Boltzmann equation for gases with bi-molecular chemical reactions, in: Proc. Euromech Colloquium Discrete Models in Fluid Dynamics, [Ed.] A. ALVES, World Sci., London 1990 (in press).
H. CORNILLE, Exact solutions to the Boltzmann equation, in: Partially lntegrable Equations in Physics, [Ed.] R. CONTI, Kluwer Acad. Publ., Amsterdam 1990.
T. PŁATKOWSKI, Boundary value problems for a class of the Broadwell models of the Boltzmann equation, Trans. Theory Stat. Phys., 199 (in press).
Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland