This thesis is a preliminary work of the project "High-performance computing and data-driven modeling of aircraft contrails" granted by the US NFS (National Science Foundation) and with PI Prof. Roberto Paoli of the Illinois University of Chicago (UIC). In the work is analized the Jet Phase of the contrail formation without considering soot particles exiting from the aircraft engine; whose drain nozzle geometry has been considered similar to the NASA acoustic research nozzle ARN-2. The fluid dynamic study is performed using only open source softwares, in particular Gmsh for the mesh generation and OpenFOAM as CFD code. Diffrent geometries and turbulence models are explored, with a great attention on the results obtained with the Detached Eddy Simulations based on the k -omega SST model.