On numerical solution to  acoustic wave scattering  by a 2-dimensional non-smooth obstacle

Zhao Haifeng; Liu JiJun

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On numerical solution to acoustic wave scattering by a 2-dimensional non-smooth obstacle

Zhao Haifeng,Liu JiJun *

Department of Mathematics, Southeast University, NanJing 210096

*Correspondence author

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Funding: This work is supported by Research Found for the Doctoral Program of Higher Education of China （No.No.20110092110018）

Opened online:18 September 2012

Accepted by: none

Citation: Zhao Haifeng,Liu JiJun.On numerical solution to acoustic wave scattering by a 2-dimensional non-smooth obstacle[OL]. [18 September 2012] http://en.paper.edu.cn/en_releasepaper/content/4489073

For given incident wave and an impenetrable obstacle, the wave scattering problems are of great importance in applied area. In case of the obstacle boundary being nonsmooth, the numerical solution of scattered wave outside of the obstacle by standard schemes such as FEM and BEM will be contaminated due to the singularity of scattered wave at the obstacle corner. Consider the acoustic wave scattering by an obstacle with a corner on its boundary. In 2-dimensional case, this problem is governed by an exterior problem for the Helmholtz equation, which is much complicated for stable numerical computation due to the existence of obstacle corner. We introduce an artificial boundary condition (ABC) to eliminate the singularity of scattered wave at the corner and introduce a perfectly matched layer (PML) to truncate the unbounded domain where the zero Dirichlet boundary condition is setup on the outer boundary of PML. Then the discontinuous Galerkin method is applied to solve this boundary value problem. Finally, some numerical examples are presented to show the validity of the proposed scheme.

Keywords:Wave scattering; non-smooth obstacle; discontinuousGalerkin method; perfectly matched layer; numerics

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