𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Variable Order Infinite Acoustic Wave Envelope Element

✍ Scribed by L. Cremers; K.R. Fyfe; J.P. Coyette


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
801 KB
Volume
171
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis


A new infinite wave envelope element for analyzing acoustic radiation and scattering problems in an unbounded domain is presented. The element is based on a finite to infinite geometry mapping and a wave representation within the shape function. It allows for the specification of an arbitrary number of acoustic degrees of freedom in the radial infinite direction, yielding a (1 / r^{n}) expansion for the proper modelling of the amplitude decay. Both two-dimensional and axisymmetric problems are presented to show the use and accuracy of this (n)th order infinite wave envelope element. Numerical results are compared with analytical and boundary element solutions.


πŸ“œ SIMILAR VOLUMES


MAPPED INFINITE WAVE ENVELOPE ELEMENTS F
✍ WALTER EVERSMAN πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 309 KB

Variable order mapped in"nite wave envelope elements are developed for "nite-element modelling (FEM) of acoustic radiation in a uniformly moving medium. These elements can be used as a non-re#ecting boundary condition for computations on an in"nite domain in which a radiating body is immersed in a m

A simple wave envelope element example
✍ Bettess, Peter πŸ“‚ Article πŸ“… 1987 πŸ› Wiley (John Wiley & Sons) 🌐 English βš– 207 KB

The wave envelope element method, due to Astley,' is applied to a simple one-dimensional example problem. It is shown that the method yields the exact answer and it is concluded that the method has a number of profound advantages.

Diffraction of short waves modelled usin
✍ Edmund Chadwick; Peter Bettess; Omar Laghrouche πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 166 KB πŸ‘ 1 views

We consider a two-dimensional wave di raction problem from a closed body such that the complex progressive wave potential satisΓΏes the Sommerfeld condition and the Helmholtz equation. We are interested in the case where the wavelength is much smaller than any other length dimensions of the problem.