Sound scattering of an obstacle placed near a non-locally reacting ground

Yiming Wang, Purdue University


The Boundary Element Method (BEM) is widely used in outdoor sound scattering problems due to its computational efficiency when compared to the FEM (FEM) for certain propagation geometries. The advantage of the BEM is apparent for problem geometries where the scattering surface is much smaller than the computational domain of the problem. The Green's function can be used in the BEM formulation to represent a non-locally reacting porous ground surface. The Weyl Van der Pol formula is often used to accurately calculate the Green's functions above a locally reacting surface. However, the Green’s function representation for the sound field above and below a non-locally reacting ground has not yet been established. Nevertheless, the steepest descent method can be used to derive these functions. An efficient solution for several different types of Green’s functions are derived in the present study. The simulation results are computed via the BEM and validated against analytical solutions and/or physical experimental measurements. The scattering effect due to an obstacle in the vicinity of a porous ground is also investigated.




Li, Purdue University.

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