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Wave envelope examples for progressive waves

✍ Scribed by Peter Bettess; Edmund Chadwick

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
756 KB
Volume
38
Category
Article
ISSN
0029-5981

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πŸ“œ SIMILAR VOLUMES

Modelling of progressive short waves usi
Modelling of progressive short waves using wave envelopes
✍ Edmund Chadwick; Peter Bettess πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 294 KB

We consider progressive waves such that the time independent potential satisΓΏes the Helmholtz equation, for example, the travelling wave di racted from a body. In order to model the wave potential using ΓΏnite elements it is usual to discretize the domain such that there are about ten nodal points pe

A simple wave envelope element example
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✍ 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.

TRANSIENT WAVE ENVELOPE ELEMENTS FOR WAV
TRANSIENT WAVE ENVELOPE ELEMENTS FOR WAVE PROBLEMS
✍ R.J. Astley πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 572 KB

A novel family of infinite wave envelope elements is described which can be used in conjunction with conventional finite elements to model the transient wave equation in unbounded regions. The elements are obtained by applying an inverse Fourier transformation to a mapped wave envelope formulation i

Mapped spheroidal wave-envelope elements
Mapped spheroidal wave-envelope elements for unbounded wave problems
✍ R. J. Astley πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 473 KB

This paper describes a family of axisymmetric, spheroidal 'wave envelope' elements for modelling exterior wave problems. They are of variable radial order and can be used to represent steady and transient wave fields. The formulation is presented for the axisymmetric case using elements which are ba