Calculation of Evanescent Wave Modes
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 114, Issue 3
Abstract
The numerical solution of the linear dispersion relation for water waves is considered for the case of the evanescent modes. A two-point Padeó approximation is constructed based upon correct asymptotic behavior at both high and low frequencies. This overcomes some difficulties experienced with a previous one-point Padeó approximation based on correct behavior at low frequencies. The two-point approximation is quite accurate but entails considerable preliminary work to obtain the coefficients. A completely different approach is also presented which only involves the solution of a quadratic equation. The results of this method are accurate to better than 0.35% for the first evanescent mode and are considerably better for the higher modes. They form reliable first estimates for use in the Newton iteration if very accurate results are required.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 114 • Issue 3 • May 1988
Pages: 373 - 378
Copyright
Copyright © 1988 ASCE.
History
Published online: May 1, 1988
Published in print: May 1988
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