Influence functions for edge wave propagation over a nonplanar bottom bathymetry
| Autor: | Joan Oltman-Shay, Uday Putrevu |
|---|---|
| Rok vydání: | 1998 |
| Předmět: | |
| Zdroj: | Physics of Fluids. 10:330-332 |
| ISSN: | 1089-7666 1070-6631 |
| DOI: | 10.1063/1.869545 |
| Popis: | The problem of edge waves propagating over a nonplanar bottom bathymetry is examined. Assuming that the variation from the planar case is small, we examine the problem using a perturbation expansion. This assumption allows an analytical estimate of how nonplanar features change the frequency and spatial structure of an edge wave with a given wavenumber. We find that these changes can be conveniently expressed in terms of “influence functions.” For example, the change in frequency, σ1,n, of a given edge-wave mode, n, can be expressed as σ1,n/σ0,n=∫0∞h1Iσdx where x is the cross-shore coordinate, h1(x) is the deviation from the planar topography, σ0,n is the frequency of the edge wave on a plane beach, and Iσ is the influence function. Similar results are also derived for the spatial structure of the edge wave. The results show that 1) in general, the spatial structure of the edge wave is more sensitive to bottom perturbations than the frequency, and 2) at a given wavenumber, the higher modes are more sensit... |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|