Stabilization of time domain acoustic boundary element method for the exterior problem avoiding the nonuniqueness

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The time domain boundary element method (TBEM) to calculate the exterior sound field using the Kirchhoff integral has difficulties in non-uniqueness and exponential divergence. In this work, a method to stabilize TBEM calculation for the exterior problem is suggested. The time domain CHIEF (Combined Helmholtz Integral Equation Formulation) method is newly formulated to suppress low order fictitious internal modes. This method constrains the surface Kirchhoff integral by forcing the pressures at the additional interior points to be zero when the shortest retarded time between boundary nodes and an interior point elapses. However, even after using the CHIEF method, the TBEM calculation suffers the exponential divergence due to the remaining unstable high order fictitious modes at frequencies higher than the frequency limit of the boundary element model. For complete stabilization, such troublesome modes are selectively adjusted by projecting the time response onto the eigenspace. In a test example for a transiently pulsating sphere, the final average error norm of the stabilized response compared to the analytic solution is 2.5%. (C) 2013 Acoustical Society of America. [http://dx.doi.org/10.1121/1.4774377]
Publisher
ACOUSTICAL SOC AMER AMER INST PHYSICS
Issue Date
2013-03
Language
English
Article Type
Article
Keywords

SCATTERING

Citation

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, v.133, no.3, pp.1237 - 1244

ISSN
0001-4966
DOI
10.1121/1.4774377
URI
http://hdl.handle.net/10203/193184
Appears in Collection
ME-Journal Papers(저널논문)
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