Johnson, ER;
(2023)
Bulges at vortical outflows.
Physica D: Nonlinear Phenomena
, 454
, Article 133867. 10.1016/j.physd.2023.133867.
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Abstract
This paper constructs steady solutions of the two-dimensional Euler equations corresponding to a line source of vortical fluid on the impermeable boundary of a quiescent flow. The nonlinear, free-boundary problem is solved by mapping the flow domain to the hodograph plane. A vortex dipole or, equivalently, a source–sink doublet is superposed on the source leading to flow patterns that model the ballooning outflows observed where rivers and straits discharge into the open ocean and in the rotating flow experiments and numerical simulations designed to reflect these observations.
| Type: | Article |
|---|---|
| Title: | Bulges at vortical outflows |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.physd.2023.133867 |
| Publisher version: | https://doi.org/10.1016/j.physd.2023.133867 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Rotating flow, Free boundary problem, Hodograph plane, Complex analysis, Coastal flow, Vorticity |
| 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-pp.ucl.ac.uk/id/eprint/10174206 |
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