๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Direct Boundary Integral Formulation For Acoustic Radiation In A Subsonic Uniform Flow

โœ Scribed by T.W. Wu; L. Lee


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
375 KB
Volume
175
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis


In this paper, a new boundary integral formulation is proposed for acoustic radiation in a subsonic flow. This new boundary integral formulation uses the Green's function derived from the adjoint operator of the original governing differential equation. Unlike the conventional formulation that uses the Helmholtz integral equation in a transformed domain, the new boundary integral formulation requires no co-ordinate transformation. The variables in the integral equation can be expressed explicitly in terms of the velocity potential as well as its normal and tangential derivatives. This will facilitate a direct coupling of the boundary element method with other numerical techniques, such as the finite element method for radiation and scattering in a non-uniform flow region.


๐Ÿ“œ SIMILAR VOLUMES


A HYPERSINGULAR INTEGRAL FORMULATION FOR
โœ P. Zhang; T.W. Wu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 301 KB

This paper presents a hypersingular integral equation for acoustic radiation in a subsonic uniform flow. The work is motivated by the need for a normal-derivative integral equation to be used in the Burton and Miller method for overcoming the non-uniqueness difficulty in the boundary integral formul

A NEW BOUNDARY INTEGRAL FORMULATION FOR
โœ P. di Francescantonio ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 283 KB

A new boundary integral formulation is presented for the evaluation of the noise radiated in a uniform medium by generic sources. To use the method one requires knowledge of the pressure, velocity, and density disturbances on a smooth closed surface surrounding the source, and to assume that the pro

A NOVEL TECHNIQUE IN BOUNDARY INTEGRAL E
โœ J. ZHAO; G.R. LIU; H. ZHENG; C. CAI; K.Y. LAM ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 307 KB

A novel technique is suggested to avoid singular integrals of boundary integral equations (BIE) for exterior sound radiation problems. The technique, reproduction of diagonal terms (RDT), utilizes special solutions of some monopole sources, which give the distribution of theoretical surface pressure

SIMILARITY VARIABLES FOR SOUND RADIATION
โœ C.J. CHAPMAN ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 124 KB

This paper derives a parametric family of similarity variables for describing sound radiation in a uniform #ow. The variables, based on a Lorentz-type transformation between the wave equation and the convected wave equation, contain Doppler factors and generalize the Prandtl}Glauert variables used i