Geometric Compression Using Riemann Surface Structure

Abstract

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.