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1 July 2016 Propagating of Obliquely Incident, Weakly Viscous Waves over Variable Bathymetry
Chia-Cheng Tsai, Yueh-Ting Lin, Tai-Wen Hsu
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Tsai, C.-C.; Lin, Y.-T., and Hsu, T.-W., 2016. Propagating of obliquely incident weakly viscous waves over variable bathymetry.

A linear theory for weakly viscous waves propagating obliquely over variable topographies is introduced without considering the boundary layers. Using an eigenfunction-matching method, which involves including the evanescent modes that satisfy the matching conditions, the present problem can be transformed into a system of linear equations. Furthermore, by using a weak-viscosity hypothesis, the proposed method can be degenerated to the traditional eigenfunction-matching method of the potential flow if both the molecular viscosity and the bottom friction are discarded. The applicability of this model was confirmed by comparing it with available theoretical, numerical, and experimental results for both of the normal and oblique incidences.

Chia-Cheng Tsai, Yueh-Ting Lin, and Tai-Wen Hsu "Propagating of Obliquely Incident, Weakly Viscous Waves over Variable Bathymetry," Journal of Coastal Research 32(4), 974-982, (1 July 2016).
Received: 16 October 2014; Accepted: 11 March 2015; Published: 1 July 2016
Eigenfunction-matching method
energy loss
step approximation
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