A Comparison of Boundary Integral Formulations for Sound Scattered by Moving Bodies

This paper deals with theoretical-numerical comparisons among integral formulations for the prediction of noise scattered by moving bodies. Three acoustic scattering integral formulations for the solution of the velocity potential wave equation are examined: a recently proposed linearized boundary-field integral formulation, and two widely applied boundary integral approaches based on Taylor and Taylor-Lorentz transformations. Aim of the work is to highlight their theoretical differences and limits of applicability, while examining their capability of capturing the influence of body motion and corresponding nonuniform mean flow around it on the scattered noise field. Numerical results concern a rigid rectangular non-lifting wing in uniform rectilinear translation impinged by sound waves emitted by a co-moving pulsating point-source.