A RANDOM PARTICLE METHOD BASED ON A KINET IC-EQUATION FOR THE NUMERICAL-SIMULATION OF DENSE SPRAYS OF LIQUID DROPLETS

Citation
P. Villedieu et J. Hylkema, A RANDOM PARTICLE METHOD BASED ON A KINET IC-EQUATION FOR THE NUMERICAL-SIMULATION OF DENSE SPRAYS OF LIQUID DROPLETS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(3), 1997, pp. 323-328
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
325
Issue
3
Year of publication
1997
Pages
323 - 328
Database
ISI
SICI code
0764-4442(1997)325:3<323:ARPMBO>2.0.ZU;2-5
Abstract
We propose in this Note, a kinetic equation which takes into account c ollisions occuring in a dense spray of liquid droplets carried by a ga z flow. Our model relies on the assumption that a collision results ei ther in elastic rebound or in coalescence. The collision operator is p roved to have similar properties to that of Boltzmann. This analogy al lows us to use the ideas of Babovski (see [1]) for the construction of a random particular method to discretize the kinetic equation.