๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the use of co-ordinate stretching in the numeral computation of high frequency scattering

โœ Scribed by A. Bayliss


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
502 KB
Volume
60
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis


The scattering of the sound of a jet engine by an airplane fuselage is modelled by solving the axially symmetric Helmholtz equation exterior to a long thin ellipsoid. The integral equation method based on the single layer potential formulation is used. A family of coordinate systems on the body is introduced and an algorithm is presented to determine the optimal co-ordinate system. Numerical results verify that the optimal choice enables the solution to be computed with a grid that is coarse relative to the wavelength. .


๐Ÿ“œ SIMILAR VOLUMES


On the numerical approximation of high-f
โœ Xavier Antoine; Chokri Chniti; Karim Ramdani ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 347 KB

The aim of this paper is to propose a numerical strategy for computing the solution of two-dimensional time-harmonic acoustic multiple scattering problems at high-frequency. The scatterers are assumed to be circular, leading therefore to semi-analytical representation formulae of the scattered field

ON THE USE OF THE DEGENERATE PLATE AND T
โœ A.A. SHABANA; A.M. MIKKOLA ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB

The purpose of this paper is to discuss the fundamental differences between the degenerate plate element formulations [1-3] and the plate and shell formulations obtained using the absolute nodal co-ordinate formulation introduced for the large rotation and deformation analysis of flexible bodies [4]