Study of Velocity-Potential Integral Formulations for Sound Scattered by Moving Bodies

This paper deals with the theoretical-numerical study of integral formulations for the prediction of noise scatteredby moving bodies, through the velocity-potential description of flow disturbance. Specifically, three potential-flowacoustic scattering integral formulations are examined: a linearized boundary-field integral formulation, recentlyintroduced by the authors, is compared with two widely applied boundary integral approaches based on Taylor andTaylor-Lorentz transformations. The objective of this work is to provide a detailed analysis of the theoreticaldifferences among these formulations and corresponding limits of applicability, followed by the assessment of theircapability of capturing the influence of nonuniform mean flow around moving sound scatterers. This is accomplishedby a numerical investigation that concerns a rigid, rectangular, nonlifting wing in uniform rectilinear translationimpinged by sound waves emitted by a comoving pulsating point source.