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Multilevel fast multipole algorithm for acoustic wave scattering by truncated ground with trenches
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10.1121/1.2897048
/content/asa/journal/jasa/123/5/10.1121/1.2897048
http://aip.metastore.ingenta.com/content/asa/journal/jasa/123/5/10.1121/1.2897048

Figures

Image of FIG. 1.
FIG. 1.

Local coordinate system on a triangle patch plane.

Image of FIG. 2.
FIG. 2.

A meshed sphere surface.

Image of FIG. 3.
FIG. 3.

Magnitude of scattered pressure field at the principal cut, and .

Image of FIG. 4.
FIG. 4.

Magnitude of scattered pressure field at the principal cut, and .

Image of FIG. 5.
FIG. 5.

Magnitude of scattered pressure field at the principal cut, and .

Image of FIG. 6.
FIG. 6.

Magnitude of scattered pressure field at the principal cut, and .

Image of FIG. 7.
FIG. 7.

Zoom-in plot for the magnitude of scattered pressure field at the principal cut, and .

Image of FIG. 8.
FIG. 8.

A meshed trench structure embedded in a truncated ground (top view).

Image of FIG. 9.
FIG. 9.

Geometrical parameters of the trench structure, in which is the distance between the ground center and the inner wall of the first trench, and are the width and depth of each trench, respectively, and is the periodicity of trenches. The ground width between two neighboring trenches is .

Image of FIG. 10.
FIG. 10.

Radiation pattern for the truncated ground with trench.

Image of FIG. 11.
FIG. 11.

Radiation pattern for the truncated ground with trenches.

Image of FIG. 12.
FIG. 12.

Radiation pattern for the truncated ground with trenches.

Image of FIG. 13.
FIG. 13.

Radiation pattern for the truncated ground with trenches.

Image of FIG. 14.
FIG. 14.

Comparison of radiation patterns for different truncated sizes of ground with trenches.

Image of FIG. 15.
FIG. 15.

Inverted tree structure in the calculation of matrix-vector multiply for far-interaction terms.

Tables

Generic image for table
TABLE I.

CPU time and memory usage for scattering by a large sphere.

Generic image for table
TABLE II.

CPU time and memory usage for scattering by truncated ground with trenches.

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/content/asa/journal/jasa/123/5/10.1121/1.2897048
2008-05-01
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Multilevel fast multipole algorithm for acoustic wave scattering by truncated ground with trenches
http://aip.metastore.ingenta.com/content/asa/journal/jasa/123/5/10.1121/1.2897048
10.1121/1.2897048
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