How to translate text using browser tools
1 September 2007 Bragg Reflection of Random Waves with the Boussinesq Equations
Jae-Sang Jung, Yong-Sik Cho
Author Affiliations +

The Bragg resonant reflection of water waves propagating over a sinusoidally varying topography is investigated numerically by using a couple of ordinary differential equations derived from the Boussinesq equations. Derived governing equations are integrated with a fourth-order Runge-Kutta method. Applied topographies are focused on the shallow-water environment and intermediate depth zone, where the Boussinesq equations are suitable for describing behaviors of waves. Incident waves are random waves, which can be frequently observed in shallow-water regions. Optional shapes of incident waves are approximated with the Fourier decomposition. The Bragg reflection of random waves is simulated by using the TEXEL storm, MARSEN, ARSLOE (TMA) shallow-water spectrum in this study. Evolution and reflection of random waves are largely influenced by nonlinearity.

Jae-Sang Jung and Yong-Sik Cho "Bragg Reflection of Random Waves with the Boussinesq Equations," Journal of Coastal Research 23(5), 1141-1147, (1 September 2007).
Received: 8 January 2005; Accepted: 17 June 2005; Published: 1 September 2007
Boussinesq equations
Bragg reflection
random waves
TMA shallow-water spectrum
Get copyright permission
Back to Top