[en] We present numerical simulations of strongly two-dimensional laser experiments. First, it is concerned to restitute the direct driven implosion of microballoons irradiated with the two beams of Phebus laser facility at 0.53 μm wavelength and 3.2 TW power. In the second experiment, we study the impact between two foils. The accelerated foil is irradiated at 0,35 μm wavelength with a power of 20 GW. The numerical simulations are realized with the two - dimensional lagrangian FCI 2 code. The X-ray diagnostics are simulated with the DXFCI 2 code. In spite of numerical difficulties, principally close to the laser axis and the target interfaces, calculations have been carried out for a sufficient long time to provide results in accordance with the experiment. A simulation of the implosion of 600 μm in diameter microballoons made with an absorption rate of 40 % provides a neutron yield as well as X-ray emission peaks in agreement with the experiment. In the plane target case, it is shown that, for 80 μm in diameter focal spot, the 2D effects occurring in the acceleration of the foils influence in a preponderant way the energy transfer between these two foils