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A CONFORMAL-MAPPING TECHNIQUE FOR TOPOGRAPHIC-WAVE PROBLEMS - SEMI-INFINITE CHANNELS AND ELONGATED BASINS

JOHNSON, ER; (1987) A CONFORMAL-MAPPING TECHNIQUE FOR TOPOGRAPHIC-WAVE PROBLEMS - SEMI-INFINITE CHANNELS AND ELONGATED BASINS. J FLUID MECH , 177 395 - 405. 10.1017/S0022112087001010. Green open access

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Abstract

The basis of the conformal-mapping method for topographic-wave problems of Johnson (1985) is discussed in greater detail by considering the invariance under conformal mapping of the linear, barotropic, potential-vorticity equation, noted in Davis (1983). A method is presented for using this property to construct further solutions for waves propagating over varying topography. Results are given for semi-infinite channels and elongated basins. A coordinate system is constructed that approaches a Cartesian system exponentially fast with distance from end-walls. For exponentially sloping topography the solutions for infinite channels, semi-infinite channels, and basins have the same structure and dispersion relation as waves in an elliptical basin, discussed in Johnson (1987). The structures presented there can thus be considered as in some sense universal for exponentially sloping topography

Type: Article
Title: A CONFORMAL-MAPPING TECHNIQUE FOR TOPOGRAPHIC-WAVE PROBLEMS - SEMI-INFINITE CHANNELS AND ELONGATED BASINS
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112087001010
Publisher version: http://dx.doi.org/10.1017/S0022112087001010
Language: English
Additional information: © 1987 Cambridge University Press
UCL classification: UCL
UCL > Provost and Vice Provost Offices
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/1325372
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