Discretization of a model for the formation of longshore sand ridges
type: Item
instance of: scholarly article
title: Discretization of a model for the formation of longshore sand ridges
zbMATH Open document ID: 0879.76062
author: Juan M. Restrepo
author: Jerry L. Bona
published in: Journal of Computational Physics
publication date: 1998-01-29T00:00:00Z
full work available at URL: metadc667179
review text: The authors consider a model for the evolution of the bottom topography of the continental shelf. Waves traveling over the bottom are influenced by features of that bottom - like sand ridges. Nonlinear interaction of water waves with the bottom drives the evolution of the topography. This leads to a coupled nonlinear evolutionary model. Changes in the bottom topography occur in a much longer time scale than the typical time scale for the shallow water waves. The system of partial differential equations is solved by a combination of Lax-Wendroff's method and a fixed point iteration. The performance of the numerical methods is carefully studied. In a special case, a two-dimensional model is used for evaluation. A zero-flux condition is imposed to handle the lateral boundaries of the domain without introducing unwanted structures into the solution of the surface equation.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 825420
zbMATH Keywords: problems with two time scales
zbMATH Keywords: evolution of bottom topography
zbMATH Keywords: continental shelf
zbMATH Keywords: Lax-Wendroff's method
zbMATH Keywords: fixed point iteration
zbMATH Keywords: zero-flux condition
reviewed by: Kurt Frischmuth
MaRDI profile type: Publication
OpenAlex ID: W1994004533
DOI: 10.1006/JCPH.1995.1202
description: scientific article; zbMATH DE number 825420