How to Cite
APPLICABLE RANGE OF PERIODICAL WAVE THEORIES UPDATING LE MEHAUTE’S CHART. (2023). Coastal Engineering Proceedings, 37, waves.23. https://doi.org/10.9753/icce.v37.waves.23
Abstract
Le Mehaute (1976)’s chart has been widely used in coastal engineering community because of its simplicity. However, there is a need to update this chart based on newly developed Stokes wave theory. This paper adopts Fenton (1999)’s 3rd order and 5th order cnoidal wave solution for updating the chart. Fenton’s 3rd order solution is applicable in the range between the two lines represented by m=0.5 and m=0.96. For higher m values (region above the red dot line), Fenton’s 5th order solution is applicable. Alternatively, Clamond (1999)’s solution can be considered.References
Clamond, D. (1999). Steady finite-amplitude waves on a horizontal seabed of arbitrary depth. JFM, V. 398, p.45-60
Fenton, J.D. (1990). Nonlinear Wave Theories. The Sea: Ocean Engineering Science, V. 9, p.3-26
Fenton, J.D. (1999). The Cnoidal Theory of Water Waves. Developments in Offshore Engineering, p. 55-100.
Le Mehaute, B. (1976). An introduction to hydrodynamics and water waves. Springer Science & Business Media.
Zhao, K. & Liu, P L-F. (2022). On Stokes wave solutions. Proceedings of the Royal Society A, V. 478, Issue 2258.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright (c) 2023 Kuifeng Zhao, Yufei Wang, Philip L-F Liu