Numerical simulation of propagation of small perturbations interacting with flows and solid bodies

This paper addresses the numerical simulation of the acoustic propagation through an aerodynamic flow and its interaction with solid bodies. First, a general conservative formulation is derived from Euler's equations using a small perturbation hypothesis. In a second time, a discrete form is obtained with the help of high-order explicit schemes. Then, boundaries treatments and curvilinear or filtering aspects are examined. Finally, as an illustration and a validation of the E3P code that has been developed on these theoretical basis, an extensive set of numerical simulations is presented. It should be showing the wide range of possible applications that this tool, taken alone or coupled with others, could offer.