×

zbMATH — the first resource for mathematics

Reflection on internal waves by sand ripples. (English) Zbl 0817.76009
Summary: An investigation is made into the diffraction of a train of time-harmonic progressive waves propagating along the surface of separation of two superposed fluids which are laterally unbounded, the upper fluid being extended infinitely upwards, the lower fluid being of finite depth with sand ripples at the bottom. The first order correction to the velocity potential for the problem of diffraction of interface waves in the presence of bottom deformation is obtained by integral transform technique after introduction of a linear frictional term in the kinematic boundary condition at the surface of separation, and the reflection and transmission coefficients are estimated for a patch of sand ripples.
MSC:
76B55 Internal waves for incompressible inviscid fluids
86A05 Hydrology, hydrography, oceanography
PDF BibTeX XML Cite
Full Text: DOI EuDML