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AN ADVANCED BOUNDARY ELEMENT FORMULA...

SOENARKO, BENJAMIN.

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AN ADVANCED BOUNDARY ELEMENT FORMULATION FOR ACOUSTIC RADIATION AND SCATTERING IN THREE DIMENSIONS.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	AN ADVANCED BOUNDARY ELEMENT FORMULATION FOR ACOUSTIC RADIATION AND SCATTERING IN THREE DIMENSIONS./
Author:	SOENARKO, BENJAMIN.
Description:	187 p.
Notes:	Source: Dissertation Abstracts International, Volume: 47-03, Section: B, page: 1101.
Contained By:	Dissertation Abstracts International47-03B.
Subject:	Physics, Acoustics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=8612900

AN ADVANCED BOUNDARY ELEMENT FORMULATION FOR ACOUSTIC RADIATION AND SCATTERING IN THREE DIMENSIONS.
SOENARKO, BENJAMIN.

AN ADVANCED BOUNDARY ELEMENT FORMULATION FOR ACOUSTIC RADIATION AND SCATTERING IN THREE DIMENSIONS. - 187 p.

Source: Dissertation Abstracts International, Volume: 47-03, Section: B, page: 1101.

Thesis (Ph.D.)--University of Kentucky, 1983.

A computational method is presented for determining acoustic fields produced by arbitrary shaped three-dimensional bodies. The formulation includes both radiation and scattering problems. In particular an isoparametric element formulation is introduced in which both the surface geometry and the acoustic variables on the surface of the body are represented by second order shape functions within the local coordinate system. A general result for the surface velocity potential and the exterior field is derived. This result is applicable to non-smooth bodies, i.e. it includes the case where the surface may have a non-unique normal (e.g. at the edge of a cube). Test cases are shown involving spherical, cylindrical and cubical geometry for both radiation and scattering problems.Subjects--Topical Terms:

1019086
Physics, Acoustics.

AN ADVANCED BOUNDARY ELEMENT FORMULATION FOR ACOUSTIC RADIATION AND SCATTERING IN THREE DIMENSIONS.
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035 $a (UMI)AAI8612900
035 $a AAI8612900
040 $a UMI $c UMI
100 1 $a SOENARKO, BENJAMIN. $3 1277266
245 1 3 $a AN ADVANCED BOUNDARY ELEMENT FORMULATION FOR ACOUSTIC RADIATION AND SCATTERING IN THREE DIMENSIONS.
300 $a 187 p.
500 $a Source: Dissertation Abstracts International, Volume: 47-03, Section: B, page: 1101.
502 $a Thesis (Ph.D.)--University of Kentucky, 1983.
520 $a A computational method is presented for determining acoustic fields produced by arbitrary shaped three-dimensional bodies. The formulation includes both radiation and scattering problems. In particular an isoparametric element formulation is introduced in which both the surface geometry and the acoustic variables on the surface of the body are represented by second order shape functions within the local coordinate system. A general result for the surface velocity potential and the exterior field is derived. This result is applicable to non-smooth bodies, i.e. it includes the case where the surface may have a non-unique normal (e.g. at the edge of a cube). Test cases are shown involving spherical, cylindrical and cubical geometry for both radiation and scattering problems.
520 $a The present formulation is also extended to include half-space problems in which the effect of the reflected wave from an infinite plane is taken into account. By selecting an appropriate Green's function, the surface integral over the plane is nullified; thus all the computational efforts can be performed only on the radiating or scattering body at issue and thereby greatly simplify the solution.
520 $a A special formulation involving axisymmetric bodies and boundary conditions is also presented. For this special case, the surface integrals are reduced to line integrals and an integral over the angle of revolution. The integration over the angle is performed partly analytically in terms of elliptic integrals and partly numerically using simple Gaussian quadrature formula. Since the rest of the integrals involve only line integrals along the generator of the body, any discretization scheme can be easily obtained to achieve a desired degree of accuracy in evaluating these integrals.
590 $a School code: 0102.
650 4 $a Physics, Acoustics. $3 1019086
690 $a 0986
710 2 $a University of Kentucky. $3 1017485
773 0 $t Dissertation Abstracts International $g 47-03B.
790 $a 0102
791 $a Ph.D.
792 $a 1983
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=8612900