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Abstract : The paper is concerned with the construction of a numerical method for the computation of the dispersion of a cloud of liquid droplets by a turbulent gas flow field. The cloud of droplets is modeled by a semi-fluid system intermediate between a fluid model and a kinetic description of the dispersed phase. The semi-fluid model is deduced from the kinetic model by integration with respect to the velocity variables and allows to describe clouds of particles such that the velocity distribution of any familly of particles with a given radius and a given temperature, found at a given location of the physical space is a gaussian function. A numerical scheme, consistent with the semi-fluid model and inspired from Perthame's or Deshpande's kinetic schemes is proposed. The interactions with the gas phase are taken into account thanks to a Particle in Cell method. Numerical experiments enlight the features of the method.
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