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
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.