A consistent numerical method for the solution of the Boltzmann equation for inelastic and reactive scattering

1991 ◽  
Vol 42 (6) ◽  
pp. 821-836 ◽  
Author(s):  
Georg K�gerl
Keyword(s):  
Boltzmann Equation ◽  
Numerical Method ◽  
Reactive Scattering ◽  
The Boltzmann Equation

Fast numerical method for the Boltzmann equation on non-uniform grids

2008 ◽  
Vol 227 (13) ◽  
pp. 6681-6695 ◽  
Author(s):  
Alexei Heintz ◽  
Piotr Kowalczyk ◽  
Richards Grzhibovskis
Keyword(s):  
Boltzmann Equation ◽  
Numerical Method ◽  
The Boltzmann Equation ◽  
Uniform Grids

scholarly journals An efficient numerical method for solving the Boltzmann equation in multidimensions

2018 ◽  
Vol 353 ◽  
pp. 46-81 ◽  
Author(s):  
Giacomo Dimarco ◽  
Raphaël Loubère ◽  
Jacek Narski ◽  
Thomas Rey
Keyword(s):  
Boltzmann Equation ◽  
Numerical Method ◽  
The Boltzmann Equation

The Boltzmann Equation and the H Theorem (1872–1875)

2018 ◽  
Author(s):  
Olivier Darrigol
Keyword(s):  
Heat Conduction ◽  
Boltzmann Equation ◽  
Transport Phenomena ◽  
Dilute Gas ◽  
The Boltzmann Equation ◽  
H Theorem ◽  
Irreversible Evolution

This chapter covers Boltzmann’s writings about the Boltzmann equation and the H theorem in the period 1872–1875, through which he succeeded in deriving the irreversible evolution of the distribution of molecular velocities in a dilute gas toward Maxwell’s distribution. Boltzmann also used his equation to improve on Maxwell’s theory of transport phenomena (viscosity, diffusion, and heat conduction). The bulky memoir of 1872 and the eponymous equation probably are Boltzmann’s most famous achievements. Despite the now often obsolete ways of demonstration, despite the lengthiness of the arguments, and despite hidden difficulties in the foundations, Boltzmann there displayed his constructive skills at their best.

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