scholarly journals Global solution of the initial value problem for a discrete velocity model of the Boltzmann equation

1981 ◽  
Vol 57 (1) ◽  
pp. 19-24 ◽  
Author(s):  
Shuichi Kawashima
Keyword(s):  
Boltzmann Equation ◽  
Global Solution ◽  
Initial Value Problem ◽  
Velocity Model ◽  
Initial Value ◽  
Discrete Velocity ◽  
The Boltzmann Equation ◽  
Discrete Velocity Model

scholarly journals On the Generation of a Hexagonal Collision Model for the Boltzmann equation

2004 ◽  
Vol 4 (3) ◽  
pp. 271-289 ◽  
Author(s):  
Laek S. Andallan
Keyword(s):  
Boltzmann Equation ◽  
Velocity Model ◽  
Numerical Results ◽  
Hexagonal Grid ◽  
Collision Model ◽  
Discrete Velocity ◽  
The Boltzmann Equation ◽  
Discrete Velocity Model

AbstractIn this article we prove the existence of two different classes of regular hexagons in the hexagonal grid. We develop a generalized layer-wise construction of a hexagonal discrete velocity model and derive general formulae to identify all regular hexagons belonging to the grid. We also present some numerical results based on the hexagonal grid.

A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation

1997 ◽  
Vol 34 (5) ◽  
pp. 1865-1883 ◽  
Author(s):  
Andrzej Palczewski ◽  
Jacques Schneider ◽  
Alexandre V. Bobylev
Keyword(s):  
Boltzmann Equation ◽  
Velocity Model ◽  
Discrete Velocity ◽  
The Boltzmann Equation ◽  
Discrete Velocity Model
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