Spectral-like approach to modelling the liquid fuel atomisation process in a reactor

The aim of the following work is to individualise and to deepen some numerical methods finalized to represent the spraying process of a liquid fuel in a combustion chamber. First objective is to reach an optimisation of the representation the mixing process which happens between fuel droplets and oxidiser gas to obtain a better combustion reaction. Since a ftinctional representation of diffusion and convective terms in turbulent regime needs high order derivative, it's demonstrated that a spectral-like approach with Compact Schemes is able to simulate the atomisation mechanism. In this context, we have evaluated the opportunity to be able to reformulate the procedure of EPD's reconstruction by another very efficient ftinctional expression to integrate NS.