J. Comp. Math., Volume 21.


Exact Nonreflecting Boundary Conditions for an Acoustic Problem in Three Dimensions

Houde Han 1, Chunxiong Zheng 1

1 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Abstract

In this paper, nonreflecting artificial boundary conditions are considered for an acoustic problem in three dimensions. With the technique of Fourier decomposition under the orthogonal basis of spherical harmonics, three kinds of equivalent exact artificial oundary conditions are obtained on a spherical artificial boundary. A numerical test is presented to show the performance of the method.

Key words: Exterior problem; Nonreflecting artificial boundary condition; Acoustic equation.

 

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