This thesis presents the formulation of a Smoothed Particle Hydrodynamics (SPH)udmodel and its application to a range of engineering applications. The motivation forudthis research lies in the desire to accurately model viscous and turbulent free-surfaceudflows, including those with complete break-up of the free-surface. At present, boundaryudelement modelling is typically chosen to describe free-surface flows where viscous effects are not important. The Volume of Fluid method is able to model most flow phenomena, but the representation of the free-surface is insuffcient for the most complex udflows. Current SPH models have shown aptitude for modelling such flows, but there is a noticeableudlack of validation carried out in the literature. This thesis includes a thorough investigationudinto established modelling techniques, extending or developing new techniquesudwhere necessary, in order to create a versatile and accurate SPH model for free-surfaceudflows. Where possible, quantitative comparisons with experimental observations haveudbeen carried out to ensure a suitable level of accuracy has been achieved.udFirst, a fairly basic SPH model is constructed through testing its ability to generateudand propagate solitary waves in a numerical wave flume. This is succeeded by audthorough investigation into solitary waves breaking on a 5° slope, through which furtheruddevelopments are added to the SPH model. The full process, including overturning,udpost-breaking behaviour, run-up, and the subsequent hydraulic jump are quantitativelyudcompared with experimental measurements.udThe work carried out in this thesis shows that the SPH model can successfully captureudviolent free-surface flows with large deformations from the initial surface geometry.udValidation studies demonstrate that SPH can form an important part of model testingudfor engineering developments involving these types of flows.
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