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 scattered by moving bodies, through the velocity-potential description of flow disturbance. Specifically, three potential-flow acoustic scattering integral formulations are examined: a linearized boundary-field integral formulation, recently introduced by the authors, is compared with two widely applied boundary integral approaches based on Taylor and Taylor-Lorentz transformations. The objective of this work is to provide a detailed analysis of the theoretical differences among these formulations and corresponding limits of applicability, followed by the assessment of their capability of capturing the influence of nonuniform mean flow around moving sound scatterers. This is accomplished by a numerical investigation that concerns a rigid, rectangular, nonlifting wing in uniform rectilinear translation impinged by sound waves emitted by a comoving pulsating point source.