Improved Korteweg & de Vries type equation with consistent shoaling characteristics

An improved Korteweg & de Vries type equation for uneven water depths with consistent linear shoaling characteristics is derived. The improvement of the equation is with respect to linear dispersion characteristics while consistency in linear shoaling characteristics is achieved via an exact agr...

Full description

Saved in:
Bibliographic Details
Published inCoastal engineering (Amsterdam) Vol. 109; pp. 128 - 133
Main Author Beji, S.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2016
Subjects
Coastal engineering
Computer simulation
Consistency
Dispersion
Dispersions
Flux
Kortweg & de Vries equation
Mathematical analysis
Nonlinearity
Shoaling
Varying water depths
Water depth
Wave propagation
Shoaling
Nonlinearity
Kortweg & de Vries equation
Dispersion
Varying water depths
Online AccessGet full text

Cover

More Information
Summary:An improved Korteweg & de Vries type equation for uneven water depths with consistent linear shoaling characteristics is derived. The improvement of the equation is with respect to linear dispersion characteristics while consistency in linear shoaling characteristics is achieved via an exact agreement of the shoaling rate of the wave equation with that obtained from the principle of energy flux concept. Improvements in both linear dispersion and linear shoaling properties are demonstrated analytically and numerically by simulating a challenging experimental test case of nonlinear wave propagation over a submerged bar. •Korteweg & de Vries type equation with improved linear dispersion characteristics.•Korteweg & de Vries type equation with consistent linear shoaling characteristics.•Identical shoaling gradients obtained from the wave model and energy flux concept.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0378-3839
1872-7379
DOI:10.1016/j.coastaleng.2015.10.009