On The Efficiency Of The Method Of Fundamental
Solutions For Acoustic Scattering By A Poroelastic
Material
Author(s)
B. Nennig, E. Perrey-Debain & J.-D. Chazot
Abstract
The Method of Fundamental Solutions is now a well established technique that has
proved to be reliable for a specific range of wave problems such as the scattering
of acoustic and elastic waves by obstacles and inclusions of regular shapes. The
goal of this paper is to show that the technique can be extended in order to solve
transmission problems whereby an incident acoustic pressure wave impinges on a
poroelastic material of finite dimension. For homogeneous and isotropic materials,
the wave equation for the fluid phase and solid phase displacements are found to be
decoupled thanks to the Helmholtz decomposition. This allows a systematic way
for obtaining an analytic expression for the fundamental solution describing the
wave displacement field in the material. The efficiency of the technique relies on
choosing an appropriate set of fundamental solutions as well as properly imposing
the transmission conditions at the air-porous interface.
In this paper, we address this issue showing results involving bidimensional
scatterers of various shapes. In particular, it is shown that reliable error indicators
can be used to assess the quality of the results. Comparisons with results computed
using a mixed pressure-displacement finite element formulation illustrate the great
advantage of this new technique both in terms of computational resources and
mesh preparation.
Keywords: method of fundamental solutions, Biot’s equations, poroelastic, porous
material, scattering.
Keywords
method of fundamental solutions, Biot’s equations, poroelastic, porousmaterial, scattering
Related Book
Other papers in this volume
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