Diffraction of short waves modelled using new mapped wave envelope finite and infinite elements
✍ Scribed by Edmund Chadwick; Peter Bettess; Omar Laghrouche
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 166 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
We consider a two-dimensional wave di raction problem from a closed body such that the complex progressive wave potential satisÿes 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. We introduce new mapped wave envelope inÿnite elements to model the potential in the far ÿeld, and test them for some simple Dirichlet boundary condition problems. They are used in conjuction with wave envelope ÿnite elements developed earlier to model the potential in the near ÿeld. An iterative procedure is used in which an initial estimate of the phase is iteratively improved. The iteration scheme, by which the wave envelope and phase are recovered, is described in detail.