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Efficient numerical methods for the shallow water equations
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing.
2018 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In this thesis a high order finite difference scheme is derived and implemented solving the shallow water equations using the SBP-SAT method. This method was tested against various benchmark problems were convergence was verified. The shallow water equations were also solved on a multi-block setup representing a tsunami approaching a shoreline from the ocean. Experiments show that a bottom topography with many spikes provides a dispersing effect on the incoming tsunami wave. Higher order convergence is not guaranteed for the multi-block simulations and could be investigated further in a future study.

Place, publisher, year, edition, pages
2018. , p. 38
Series
UPTEC F, ISSN 1401-5757 ; 18033
Keywords [en]
shallow water equations, sbp, sat, finite difference
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-354689OAI: oai:DiVA.org:uu-354689DiVA, id: diva2:1222325
Educational program
Master Programme in Engineering Physics
Presentation
2018-06-05, 13:45 (English)
Supervisors
Examiners
Available from: 2018-06-26 Created: 2018-06-21 Last updated: 2018-06-26Bibliographically approved

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