Kinetic theory for a discrete velocity gas and application to the shock structure

1975 ◽  
Vol 18 (2) ◽  
pp. 153 ◽  
Author(s):  
R. Gatignol
Keyword(s):  
Kinetic Theory ◽  
Shock Structure ◽  
Discrete Velocity

MODEL KINETIC EQUATION FOR THE DISTRIBUTION OF DISCRETIZED INTERNAL ENERGY

1994 ◽  
Vol 04 (05) ◽  
pp. 669-675 ◽  
Author(s):  
K. NANBU
Keyword(s):  
Kinetic Equation ◽  
Kinetic Theory ◽  
Internal Energy ◽  
Boltzmann Distribution ◽  
Model Kinetic Equation ◽  
Discrete Velocity ◽  
Second Moment ◽  
Exponential Relaxation ◽  
H Theorem

Kinetic equation for discretized internal energy is obtained by using the idea underlying the discrete-velocity kinetic theory. The equation satisfies the Boltzmann H-theorem. The solution of this equation in equilibrium is the Boltzmann distribution. The second moment of distribution shows an exponential relaxation.

NUMERICAL SIMULATIONS OF CLUSTER FORMATION USING A DISCRETE VELOCITY KINETIC THEORY OF GASES

1995 ◽  
Vol 05 (05) ◽  
pp. 619-640 ◽  
Author(s):  
MARSHALL SLEMROD ◽  
ANMIN QI
Keyword(s):  
Boundary Condition ◽  
Kinetic Theory ◽  
Numerical Simulations ◽  
Inelastic Collision ◽  
Cluster Formation ◽  
Kinetic Theory Of Gases ◽  
Discrete Velocity ◽  
Knudsen Numbers ◽  
Two Space Dimensions ◽  
Boltzmann Model

Cluster formation is simulated numerically with discrete velocity Boltzmann model in two space dimensions. The model exhibits cluster coagulation, fragmentation and transport. It evolves two different scales obtained from an elastic and inelastic collision Knudsen numbers ε and µ respectively. For flow impinging on a wall with specularly reflective boundary condition these scales appear both analytically and numerically.

Shock Structure in a Simple Discrete Velocity Gas

1964 ◽  
Vol 7 (8) ◽  
pp. 1243 ◽  
Author(s):  
James E. Broadwell
Keyword(s):  
Shock Structure ◽  
Discrete Velocity
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