scholarly journals Discrete Velocity Models for Polyatomic Molecules Without Nonphysical Collision Invariants

2018 ◽  
Vol 172 (3) ◽  
pp. 742-761 ◽  
Author(s):  
Niclas Bernhoff
Keyword(s):  
Polyatomic Molecules ◽  
Discrete Velocity Models ◽  
Discrete Velocity ◽  
Velocity Models ◽  
Collision Invariants

LIMIT THEOREMS FOR DETERMINISTIC KNUDSEN FLOWS BETWEEN TWO PLATES

1996 ◽  
Vol 06 (04) ◽  
pp. 503-520 ◽  
Author(s):  
HANS BABOVSKY
Keyword(s):  
Large Class ◽  
Test Particle ◽  
Limit Theorems ◽  
Velocity Model ◽  
Diffusion Limit ◽  
Parallel Plates ◽  
Discrete Velocity Models ◽  
Discrete Velocity ◽  
Velocity Models ◽  
Model Dynamics

We investigate the model dynamics of a test particle which moves between two parallel plates and is reflected at the walls according to some deterministic periodic reflection law. For a particular continuous velocity model, a diffusion limit is derived using the Markov partition approach. It is shown that at least for a large class of discrete velocity models such a limit is not possible. Numerical aspects are discussed.

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