Modelling and nonlinear shock waves for binary gas mixtures by the discrete Boltzmann equation with multiple collisions

Journal Article · Tue Jan 01 04:00:00 EST 1991 · Transport Theory and Statistical Physics; (United States)

DOI:https://doi.org/10.1080/00411459108203915· OSTI ID:7234416

Bianchi, M P ^[1]

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1. Politecnico di Torino (Italy)

The discrete Boltzmann equation is a mathematical model in the kinetic theory of gases which defines the time and space evolution of a system of gas particles with a finite number of selected velocities. Discrete kinetic theory is an interesting field of research in mathematical physics and applied mathematics for several reasons. One of the relevant fields of application of the discrete Boltzmann equation is the analysis of nonlinear shock wave phenomena. Here, a new multiple collision regular plane model for binary gas mixtures is proposed within the discrete theory of gases and applied to the analysis of the classical problems of shock wave propagation.

• OSTI ID: 7234416
• Journal Information: Transport Theory and Statistical Physics; (United States), Journal Name: Transport Theory and Statistical Physics; (United States) Vol. 20:5-6; ISSN TTSPB; ISSN 0041-1450
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BINARY MIXTURES
BOLTZMANN EQUATION
COLLISIONS
DIFFERENTIAL EQUATIONS
DISPERSIONS
EQUATIONS
FLUIDS
GASES
KINETICS
MATHEMATICAL MODELS
MIXTURES
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
SHOCK WAVES