Updating 2D acoustic models with the constitutive relation error method

Nowadays, the increasing importance of acoustic noise in industry makes it essential to establish reliable simulation tools. Furthermore, many industries need to know the acoustic performances of the products that they achieve or use. Indeed, these components are often parts of larger set-ups (like cars, airplanes, concert halls, theatres, etc.) for which numerical acoustic simulations are run from the earliest design stage. In that framework, this paper proposes a new updating technique for acoustic simulations, which is based on the constitutive relation error (CRE) proposed by Ladevèze in structural dynamics. chnique consists of improving the quality of acoustic models by reducing the constitutive relation error below a prescribed level. E updating method aims at minimizing a cost function with respect to physical parameters of the model. Both modelling error (i.e., the error related to the approximation of physical phenomena) and measurement error are taken into account. Particular attention is paid to the admittance coefficient, which is probably the most important and the least known acoustic parameter, and the application to two-dimensional finite element numerical simulations is presented showing how promising the technique is. timate goal of the approach should be to improve the numerical simulations of the acoustic pressure level of real-life complex set-ups like cars, aircrafts, satellite launchers, etc.