Propagation of Oblique Flexural Gravity Waves over Finite Number of Steps
S. Paul1, S. De2
1Roy Engineering College, Durgapur-713206, India
2University of Calcutta, Kolkata-700009, India
Keywords: step bottom, flexural gravity wave, eigenfunction expansion, multiterm Galerkin's expansion, integral equations, reflection and transmission coefficients
Abstract
A linearized model is presented for the scattering problem of flexural gravity waves by the bottom with a finite number of rectangular steps in the ocean. The matched eigenfunction expansion method is used to solve the boundary-value problem, and the results are expressed in terms of a set of integral equations solved by the multiterm Galerkin's approximation technique. Numerical values of the reflection and transmission coefficients are calculated and graphed to display the influence of various parameters of the problem. The accuracy of the present method is verified by using the energy balance relation for the reflection and transmission coefficients. The results are compared with those available in some earlier works.
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