Optimization of an acoustic intensity P-U probe design using numerical methods

Abstract

[Abstract] In this master thesis a mathematical model for an acoustic P-U probe is stated and solved numerically. Firstly, the acoustic problem stated in a bounded domain is studied, and then this analysis is extended to an unbounded domain. The acoustic governing equation used in all cases is the Helmholtz equation. Throughout this master thesis, the data associated to boundary conditions are given by a monopole solution and plane waves of di erent heading angles. Moreover, the Perfect Matched Layers technique is used to simulate the free eld conditions. Any of the acoustic problems described in this work are discretized by means of the Finite Element Method, which is implemented in a computer code using the Python library, FEniCS. Finally, the optimization of the geometry of the P-U probe is made and the numerical results are shown in detail.