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A Numerical Solution to the Incompressible Navier-Stokes Equations
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing.
2019 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

A finite difference based solution method is derived for the velocity-pressure formulation of the two-dimensional incompressible Navier-Stokes equations. The method is proven stable using the energy method, facilitated by SBP operators, for characteristic and Dirichlet boundary condition implemented using the SAT technique. The numerical experiments show the utility of high-order finite difference methods as well as emphasize the problem of pressure boundary conditions. Furthermore, we demonstrate that a discretely divergence free solution can be obtained by use of the projection method.

Place, publisher, year, edition, pages
2019. , p. 31
Series
UPTEC F, ISSN 1401-5757 ; 19030
Keywords [en]
navier-stokes, incompressible, cfd, sbp, sat, hofdm
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-387386OAI: oai:DiVA.org:uu-387386DiVA, id: diva2:1328776
Educational program
Master Programme in Engineering Physics
Presentation
2019-06-18, 2003 Ångström, Lägerhyddsvägen 1, Uppsala, 10:15 (English)
Supervisors
Examiners
Available from: 2019-06-25 Created: 2019-06-23 Last updated: 2019-06-25Bibliographically approved

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CiteExportLink to record
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  • apa
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