Comparison of theoretical and numerical criteria for water wave breaking
type: Item
instance of: scholarly article
title: Comparison of theoretical and numerical criteria for water wave breaking
zbMATH Open document ID: 0606.76020
DOI: 10.1016/0165-2125(87)90015-1
published in: Wave Motion
publication date: 1987-01-01T00:00:00Z
review text: The evolution of water waves is studied in the framework of first-order one-dimensional shallow water theory. Different forms of the equations are considered and solved numerically with different techniques in order to find the time and position at which the wave breaks. A comparison is made between analytical and numerical results.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3980719
zbMATH Keywords: sloping beach
zbMATH Keywords: evolution of water waves
zbMATH Keywords: first-order one-dimensional shallow water theory
zbMATH Keywords: wave breaks
author: Alan Jeffrey
author: Giovanni Russo
MaRDI profile type: Publication
full work available at URL: 0165-2125(87)90015-1
OpenAlex ID: W2040447634
cites work: Q3245994
cites work: The formation of breakers and bores the theory of nonlinear wave propagation in shallow water and open channels
cites work: Q4151274
cites work: Q4084659
cites work: Q3280274
cites work: Q5664923
cites work: Q4099353
cites work: An unconditionally stable implicit method for hyperbolic conservation laws
cites work: Q5536978
cites work: The breaking of waves on a sloping beach
cites work: Q5530901
cites work: On the evolution law of weak discontinuities for hyperbolic quasi-linear systems
description: scientific article; zbMATH DE number 3980719