Communications in Mathematical Sciences

Geometric Compression Using Riemann Surface Structure

O. Simonin and P. Villedieu

Full-text: Open access


The present paper is devoted to the kinetic modeling of coalescence in turbulent gas-droplet flows. A new approach is proposed for the calculation of the collision probability, that takes into account the correlations induced by the effect of the gas on the droplet motion. The key ingredient is to replace the simple distribution function f(1)p (t, x, v, r), which is classically used for the description of a spray at the kinetic level, by the joint distribution function, f(1) pg (t, x, v, u, r), which explicitely depends on the fluctuating gas velocity u at the droplet position.

Article information

Commun. Math. Sci., Volume 2, Supplemental Issue 1 (2004), 13-33.

First available in Project Euclid: 2 July 2004

Permanent link to this document


Villedieu, P.; Simonin, O. Geometric Compression Using Riemann Surface Structure. Commun. Math. Sci. 2 (2004), no. 1, 13--33.

Export citation