Unsteady waves on an open two layer fluid

Type of content
Theses / Dissertations
Publisher's DOI/URI
Thesis discipline
Mathematics
Degree name
Doctor of Philosophy
Publisher
University of Canterbury. Mathematics
Journal Title
Journal ISSN
Volume Title
Language
Date
1983
Authors
Sharp, P. W.
Abstract

The interaction and evolution of small amplitude gravity waves on an open two layer fluid is investigated. The surface and interface displacements are represented as spatially periodic Fourier series with time dependent coefficients, for which evolution equations with all significant quadratic interactions included, are derived. Both steady and unsteady solutions to these equations are found, analytically for a small number of wave modes, and numerically for a larger number of modes. The steady numerical solutions are obtained using a robust variation of Davidenko’s continuation method while an efficient integration scheme is used to find the unsteady solutions. Numerical examples are given to illustrate general properties of the interactions and evolution.

Description
Citation
Keywords
Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Rights
Copyright P. W. Sharp