In this study numerical methods for free-surface flows are reviewed and their advantages and disadvantages over each other assessed. This results in the adoption of the Boundary-Integral method (BIM) as the preferred method to model the flows of interest, namely free-surface flows in the vicinity of surface-piercing bodies. A new BIM is then developed which takes features from various existing BIMs and in some cases extends these features. Notable improvements include: the discretisation of the boundary, the treatment of corners in the boundary of the fluid domain and the control of free-surface instabilities. The results of this BIM are then compared with an analytical solution, results from another numerical method and results from an experiment. In all three cases very good agreement is found. The comparison with the analytical solution shows, for the first time, that a properly adapted BIM can accurately predict the fluid motion at the intersection between free-surface flow caused by body/fluid interaction. In addition to this good comparison, hitherto unnoticed features of the analytical solution are also identified and presented. Finally, unlike in many experimental comparisons, in the one performed here the exact geometry of the wavetank and motion of the wavemaker are used as input for the present numerical wavetank.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:651015 |
| Date | January 1998 |
| Creators | Forehand, David Irving Moffat |
| Publisher | University of Edinburgh |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://hdl.handle.net/1842/12027 |
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