Accession Number:

ADA231939

Title:

Shoreline Profile of the Stokes-Mode Edge Waves

Descriptive Note:

Corporate Author:

WASHINGTON UNIV SEATTLE DEPT OF CIVIL ENGINEERING

Personal Author(s):

Report Date:

1987-01-01

Pagination or Media Count:

8.0

Abstract:

Based on the assumptions of inviscid and incompressible fluid, irrotational flow, and infinitesimal wave amplitude, Stokes 1846 found a solution to the water-wave problem with a uniformly sloping impermeable boundary beach. The solution, often termed the Stokes-mode edge wave, can be written in terms of velocity potential, phi, as a certain formula where A is the amplitude of wave runup distance along the beach surface, omega is the wave angular frequency, k is the wave number in the longshore direction, beta is the beach slope from the horizontal, and the coordinates x,y,z point to the alongshore, offshore, and vertically upward directions, respectively. Equation 1 indicates that the edge waves propagate parallel to the shoreline, y0, and decays exponentially offshore with an e-folding distance of K cos b to the -1 power.

Subject Categories:

  • Physical and Dynamic Oceanography

Distribution Statement:

APPROVED FOR PUBLIC RELEASE