Identification of stationary noise sources based on a finite element enhanced formulation

Abstract

This article deals with a discrete inverse problem in acoustics. It is assumed that the number of acoustic sources are located at known spatial positions and that the acoustic velocity is measured at a number of spatial positions in the radiated field. The situations will be restricted to steady states and due to the type of application that is being envisaged only internal acoustic problems. The macroelement post-processing recovery technique is based on residuals of equilibrium equation and irrotationality conditions. The derivatives are recovered by solving local variational problems exploring special superconvergence behavior occurring in acoustic problems. This finite element enhanced formulation is explored in the context of estimating noise sources. A number of comprehensive simulations are presented in order to assess the main features of proposed formulation.