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Non-rotating and rotating free surface flows over topography

Rump, OJ; (2007) Non-rotating and rotating free surface flows over topography. Doctoral thesis , UCL (University College London). Green open access

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Abstract

An important effect in atmosphere and ocean dynamics is the drag exerted by topography, in the form of mountain ranges and individual mountains, on incident flows. Because the scale of topographic variations are usually small compared to the resolution of global-scale numerical models, drag effects must often be parameterised. This thesis aims to understand topographic drag in highly idealised numerical models with a view to demonstrating where efforts in parameterisation may be best directed. Specifically, the thesis considers single-layer and one and one half layered flow (where a single layer lies below an infinitely deep layer of slightly lower density) over topography, inspired by a series of rotating tank experiments. The flow behaviour is strongly affected by the Proude number F of the flow - the ratio of the oncoming flow to the speed of long free gravity waves. The transcritical regime F 1, in which there is a close analogy with compressible gas dynamics, is investigated as a novel limit of the Shallow-Water Equations. Scaling laws for the drag are verified against numerical integrations and various flow regimes for rotating and non-rotating flows delineated. Supercritical flow {lcub}F > 1) is also investigated, focusing on both the drag and breaking waves in the far-field, which in the rotating case is shown to depend on a single parameter.

Type: Thesis (Doctoral)
Title: Non-rotating and rotating free surface flows over topography
Identifier: PQ ETD:593400
Open access status: An open access version is available from UCL Discovery
Language: English
Additional information: Thesis digitised by ProQuest.
URI: https://discovery.ucl.ac.uk/id/eprint/1446071
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