Bottom-Discontinuous Riemann Solver for Modeling of Wave Overtopping

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dc.contributor.authorWesley, Matthew
dc.date.accessioned2017-12-18T21:21:01Z
dc.date.available2017-12-18T21:21:01Z
dc.date.issued2015-08
dc.description.abstractDepth-integrated numerical models represent an adequate and efficient method to describe near-shore processes including wave breaking. A limitation to these models is encountered as a wave overtops a vertical breakwater. The vertical flow structure cannot be recreated, leading to inaccurate results or numerical instabilities. The Riemann solver containing a bottom discontinuity presented by Murillo and Garcia-Navarro (2010; 2012, Journal of Computational Physics) may alleviate this limitation. In this study, a review of the Riemann solver and its incorporation into a one-dimensional second-order MUSCL-Hancock scheme are presented. The first series of validation tests mimics the Riemann problem with an emphasis on overtopping over a bottom discontinuity. The model results give good overall agreement to those from OpenFOAM (an open-source computational fluid dynamics code), but show underestimation of the downstream propagation speed when free fall of water is involved. A laboratory experiment was conducted in a 9.14 m long flume to provide validation data for solitary wave overtopping of a vertical breakwater. The numerical model shows slightly more reflection from the breakwater and underestimates the overtopping volume. Despite the discrepancies, the bottom-discontinuous Riemann solver performs reasonably well in approximating the overall processes given the simplicity of its formulation.
dc.description.degreeM.S.
dc.identifier.urihttp://hdl.handle.net/10125/51075
dc.languageeng
dc.publisherUniversity of Hawaii at Manoa
dc.relationTheses for the degree of Master of Science (University of Hawaii at Manoa). Ocean & Resources Engineering
dc.titleBottom-Discontinuous Riemann Solver for Modeling of Wave Overtopping
dc.typeThesis
dc.type.dcmiText

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