Difference between revisions of "Peter, Meylan, and Linton 2006"
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| − | M. A. Peter, M. H. Meylan and C. M. Linton, Water-wave scattering by a periodic array of arbitrary bodies, J. Fluid Mech. 548, p. 237--256, 2006. | + | [[Malte Peter|M. A. Peter]], [[Michael Meylan|M. H. Meylan]] and [[Chris Linton|C. M. Linton]], Water-wave scattering by a periodic array of arbitrary bodies, J. Fluid Mech. 548, p. 237--256, 2006. |
| − | This paper gives a solution for the scattering of an [[Infinite Array]] of arbitrary bodies. | + | This paper gives a solution for the scattering of an [[:Category:Infinite Array|Infinite Array]] of arbitrary bodies. |
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| + | == Abstract == | ||
| + | |||
| + | An algebraically exact solution to the problem of linear water-wave scattering by a | ||
| + | periodic array of scatterers is presented in which the scatterers may be of arbitrary | ||
| + | shape. The method of solution is based on an interaction theory in which the | ||
| + | incident wave on each body from all the other bodies in the array is expressed in | ||
| + | the respective local cylindrical eigenfunction expansion. We show how to calculate | ||
| + | the slowly convergent terms efficiently which arise in the formulation and how to | ||
| + | calculate the scattered field far from the array. The application to the problem of | ||
| + | linear acoustic scattering by cylinders with arbitrary cross-section is also discussed. | ||
| + | Numerical calculations are presented to show that our results agree with previous | ||
| + | calculations. We present some computations for the case of fixed, rigid and elastic | ||
| + | floating bodies of negligible draft concentrating on presenting the amplitudes of the | ||
| + | scattered waves as functions of the incident angle. | ||
| + | |||
| + | If you have a subscription, you can download the paper at the [http://dx.doi.org/10.1017/S0022112005006981 publisher's website]. | ||
| + | |||
| + | [[Category:Reference]] | ||
Latest revision as of 07:14, 6 July 2006
M. A. Peter, M. H. Meylan and C. M. Linton, Water-wave scattering by a periodic array of arbitrary bodies, J. Fluid Mech. 548, p. 237--256, 2006.
This paper gives a solution for the scattering of an Infinite Array of arbitrary bodies.
Abstract
An algebraically exact solution to the problem of linear water-wave scattering by a periodic array of scatterers is presented in which the scatterers may be of arbitrary shape. The method of solution is based on an interaction theory in which the incident wave on each body from all the other bodies in the array is expressed in the respective local cylindrical eigenfunction expansion. We show how to calculate the slowly convergent terms efficiently which arise in the formulation and how to calculate the scattered field far from the array. The application to the problem of linear acoustic scattering by cylinders with arbitrary cross-section is also discussed. Numerical calculations are presented to show that our results agree with previous calculations. We present some computations for the case of fixed, rigid and elastic floating bodies of negligible draft concentrating on presenting the amplitudes of the scattered waves as functions of the incident angle.
If you have a subscription, you can download the paper at the publisher's website.
