论文信息 - A note on linear surface wave‐current interaction over slowly varying topography

A note on linear surface wave‐current interaction over slowly varying topography

A mild slope wave equation is derived which governs the propagation of linear surface waves in the presence of large ambient currents. The equation is shown to differ from two previously derived models, and arguments for the validity of the new version in comparison to previous versions are presented. A linearized evolution equation and parabolic equation approximation are constructed in order to show the correspondence between the present corrected version and a previously derived version of the time-dependent Schrodinger equation.

James T. Kirby | J. Kirby

[1] Chiang C. Mei,et al. Effects of slowly varying depth and current on the evolution of a Stokes wavepacket , 1983 .

[2] G. B. Whitham,et al. Non-linear dispersion of water waves , 1967, Journal of Fluid Mechanics.

[3] N. Booij,et al. Gravity waves on water with non-uniform depth and current , 1981 .

[4] P. Liu,et al. Wave‐current interactions on a slowly varying topography , 1983 .

[5] L. Redekopp,et al. On the development of packets of surface gravity waves moving over an uneven bottom , 1978 .

[6] J. C. Luke. A variational principle for a fluid with a free surface , 1967, Journal of Fluid Mechanics.

[7] Chiang C. Mei,et al. On slowly-varying Stokes waves , 1970, Journal of Fluid Mechanics.

[8] F. P. Bretherton,et al. Wavetrains in Inhomogeneous Moving Media , 1970 .

[9] Robert A. Dalrymple,et al. A parabolic equation for the combined refraction–diffraction of Stokes waves by mildly varying topography , 1983, Journal of Fluid Mechanics.