This work deals with numerical atomisation of liquid jets. In the first part, a bibliographical review concerning liquid jets break-up is done. Numerical approaches are developped in the second part. We used an interface tracking method (Volume of Fluid), a Continuum Surface Force method (CSF) in order to introduce surface tension efforts and a Mac Cormack scheme to compute Navier-Stokes equations. In the last part a particle method called Smooth Particle Hydrodynamics (SPH) is applied to liquid and gaz flow interactions. The mean interfacial phenomenoms, such as surface tension and vaporisation are taken into account. 2D and 3D simulations of liquid jets deformation in supersonic air flows are analysed and compared with experimental results.