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Manuscript Title: Computer programs for the Boltzmann collision matrix elements.
Authors: P. Das
Program title: KINPACK
Catalogue identifier: ABJS_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 55(1989)177
Programming language: Fortran.
Computer: DEC-1090.
Operating system: TOPS-10.
RAM: 27K words
Word size: 36
Keywords: Fluid dynamics, Boltzmann collision Operator, Burnett functions, Matrix elements, Matrix elements reduced, Hard sphere molecules, Brody-moshinsky coefficients, Clebsch-Gordan coefficients.
Classification: 12.

Nature of problem:
Linear and nonlinear problems in kinetic theory can be tackled using polynomial expansion of the molecular velocity distribution function around appropriate (fixed) Maxwellians. Such expansions lead to matrix elements of the Boltzmann collision operator.

Solution method:
Matrix elements of the Boltzmann collision operator - in a Burnett function basis - are economically evaluated in terms of standard coefficients like the Brody-Moshinsky coefficients and Clebsch-Gordan coefficients.

Matrix elements with (ri+rj) upto 40 can be computed. This is sufficient for the purpose of kinetic theory.

Unusual features:
Double precision REAL*8 arithmetic is used throughout.

Running time:
A second for a matrix element