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Newton’s Method for a Finite Element Approach to the Incompressible Navier-Stokes Equations
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

The cG(1)cG(1)-method is a finite element method for solving the incompressible Navier-Stokes equations, using a splitting scheme and fixed-point iteration to resolve the nonlinear term u · ∇u. In this thesis, Newton’s method has been implemented on a formulation of the cG(1)cG(1)-method without splitting, resulting in equal results for the velocity and pressure computation, but higher computation times and slower convergence.

Place, publisher, year, edition, pages
2016.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-122217OAI: oai:DiVA.org:umu-122217DiVA: diva2:937664
Presentation
(English)
Supervisors
Examiners
Available from: 2016-06-16 Created: 2016-06-15 Last updated: 2016-06-16Bibliographically approved

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fulltext(3552 kB)219 downloads
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Type fulltextMimetype application/pdf

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