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A discrete velocity coagulation‐fragmentation model
Author(s) -
Slemrod M.,
Qi A.,
Grinfeld M.,
Stewart I.
Publication year - 1995
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670181204
Subject(s) - mathematics , cluster (spacecraft) , fragmentation (computing) , kinetic energy , boltzmann constant , representation (politics) , condensation , boltzmann equation , coagulation , statistical physics , classical mechanics , physics , thermodynamics , computer science , politics , political science , law , programming language , operating system , psychology , psychiatry
A discrete velocity Boltzmann model is introduced. It is based on two principles: (i) clusters of particles move in a volume V with seven fixed momenta; (ii) clusters may gain or lose particles according to the rules of Becker‐Döring cluster equations. The model provides a kinetic representation of evaporation and condensation. Results of numerical experiments are presented.