Publications

Bhattacharjee, J. and Sahoo, T. (2009), “Interaction of flexural gravity waves with shear current in shallow water”, Ocean Engineering, Vol. 36, pp. 831-841

In the present study, the effect of shear current on the propagation of flexural gravity waves is analyzed under the assumptions of line arized shallow-water theory. Explicit expressions for there flection and transmission coefficients associated with flexural gravity waves cattering by astep discontinuity in both water depth and current speed are derived. Further, trapping and scattering of flexural gravity waves by a jet-like shear current with a top-hat profile are examined and certain limiting conditions for the waves to exist are derived. The effects of change in water depth, current speed, incident wave length and the angle of incidence on the group and phase velocities as wellas on the reflection and transmission characteristics are analyzed through different numerical results.

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