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Stabilization of time domain acoustic boundary element method for the exterior problem avoiding the nonuniqueness
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10.1121/1.4774377
/content/asa/journal/jasa/133/3/10.1121/1.4774377
http://aip.metastore.ingenta.com/content/asa/journal/jasa/133/3/10.1121/1.4774377

Figures

Image of FIG. 1.
FIG. 1.

Magnitude of TBEM response from a harmonically pulsating sphere at a frequency of the first fictitious mode as a function of the radial distance of a single CHIEF point from the center of sphere: •, TBEM; —, analytic solution.

Image of FIG. 2.
FIG. 2.

Modal parameters of the first pulsating fictitious mode as a function of the radial distance of a single CHIEF point from the center of sphere. (a) Modal frequency and (b) decay rate.

Image of FIG. 3.
FIG. 3.

Characteristics of unstable modes as a function of the radial distance of a single CHIEF point from the center of sphere: •, TBEM with the CHIEF method; —, TBEM without the CHIEF method. (a) The lowest frequency and (b) diverging slope.

Image of FIG. 4.
FIG. 4.

Magnitudes of eigenvalues and frequencies of the eigenmodes of TBEM calculation: •, the lowest ten modes in Table I ; [○], the other high order modes. (a) Without the CHIEF method and (b) with the CHIEF method.

Image of FIG. 5.
FIG. 5.

Comparison of the analytic solution with the calculated surface pressure from the original formulation before using the time domain CHIEF method: ——, TBEM; - - - - - -, analytic solution. (a) Time response and (b) frequency spectrum.

Image of FIG. 6.
FIG. 6.

Comparison of the analytic solution with the calculated response of TBEM by using the time-domain CHIEF technique: ——, TBEM; - - - - - -, analytic solution. (a) Time response and (b) frequency spectrum.

Image of FIG. 7.
FIG. 7.

Comparison of the analytic solution with the stabilized response ofTBEM by nullifying the remaining unstable modes (Ref. 10 ) after using thetime domain CHIEF technique: ——, TBEM; - - - - - -, analytic solution. (a) Time response and (b) frequency spectrum.

Image of FIG. 8.
FIG. 8.

Comparison of the analytic solution with the stabilized response ofTBEM by adjusting the eigenvalues of the remaining unstable modes to be 1 after using the time domain CHIEF technique: ——, TBEM; - - - - - -, analytic solution. (a) Time response and (b) frequency spectrum.

Tables

Generic image for table
TABLE I.

Characteristics of the lowest ten fictitious internal modes.

Generic image for table
TABLE II.

Performance according to the CHIEF point selection method and the exclusive use of spectral filtering.

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/content/asa/journal/jasa/133/3/10.1121/1.4774377
2013-03-06
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Stabilization of time domain acoustic boundary element method for the exterior problem avoiding the nonuniqueness
http://aip.metastore.ingenta.com/content/asa/journal/jasa/133/3/10.1121/1.4774377
10.1121/1.4774377
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