Finite Step Method

Viscous Wave Scattering over Arbitrary Topography

Lamb developed a plane-wave approximation (PWA) (Lamb, 1937) for describing wave reflection and transmission of a normally incident wave propagating over finite steps.

This research investigates the effect of molecular viscosity on waves propagating over trenches of different shapes using the plane-wave approximation. We establish a new model which includes real fluid properties and bottom sliding conditions to deal with problems of wave scatteringover trenches. (Tsal et al., 2013)

Eigenfunction Matching Method for Simulating Wave Scattering Over Porous Structures (Chang, 2014)

Eigenfunction Matching Method for Simulating Wave Scattering by Tension-Leg Platform (2018)


Sir H. Lamb, (1937) Hydrodynamics, Cambridge Press. Chia-Cheng Tsai, Yueh-Ting Lin, and Tai-Wen Hsu. (2013).On the weak viscous effect of the reflection and transmission over an arbitrary topography. Physics of Fluids, 25(4), 043103 Yuk-Sun Chang, (2014) Master thesis.