JOHNSON, ER;
(1989)
TOPOGRAPHIC WAVES IN OPEN DOMAINS .1. BOUNDARY-CONDITIONS AND FREQUENCY ESTIMATES.
J FLUID MECH
, 200
(MAR)
69 - 76.
10.1017/S002211208900056X.
![]() Preview |
PDF
download5.pdf Available under License : See the attached licence file. Download (1MB) |
Abstract
The problem is considered of topographic waves propagating on depth gradients in rotating domains. A variational principle is derived for the eigenfunctions and eigenfrequencies of normal modes on a domain, and applied to subdomains of the whole domain. Considering suitable boundary conditions on the open boundary between the subdomain and the remainder of the whole domain gives upper and lower bounds and estimates for the frequencies of normal modes localized in the subdomain without the complication of solving over the whole domain. It is shown that applying a zero-mass-flux condition at the open boundary leads to a lower bound on the frequency whereas requiring a particular form of the energy flux to vanish identically at each point of the boundary provides an upper bound.
Type: | Article |
---|---|
Title: | TOPOGRAPHIC WAVES IN OPEN DOMAINS .1. BOUNDARY-CONDITIONS AND FREQUENCY ESTIMATES |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1017/S002211208900056X |
Publisher version: | http://dx.doi.org/10.1017/S002211208900056X |
Language: | English |
Additional information: | © 1989 Cambridge University Press |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
URI: | https://discovery.ucl.ac.uk/id/eprint/1325382 |
Archive Staff Only
![]() |
View Item |