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DC Field | Value | Language |
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dc.contributor.advisor | Protas, Bartosz | en_US |
dc.contributor.author | Gustafsson, Carl Fredrik Jonathan | en_US |
dc.date.accessioned | 2014-06-18T17:00:42Z | - |
dc.date.available | 2014-06-18T17:00:42Z | - |
dc.date.created | 2012-12-11 | en_US |
dc.date.issued | 2013-04 | en_US |
dc.identifier.other | opendissertations/7622 | en_US |
dc.identifier.other | 8680 | en_US |
dc.identifier.other | 3528333 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/12764 | - |
dc.description.abstract | <p>This thesis is a numerical investigation of two-dimensional steady flows past a circular obstacle. In the fluid dynamics research there are few computational results concerning the structure of the steady wake flows at Reynolds numbers larger than 100, and the state-of-the-art results go back to the work of Fornberg (1980) Fornberg (1985). The radial velocity component approaches its asymptotic value relatively slowly if the solution is ``physically reasonable''. This presents a difficulty when using the standard approach such as domain truncation. To get around this problem, in the present research we will develop a spectral technique for the solution of the steady Navier-Stokes system. We introduce the ``bootstrap" method which is motivated by the mathematical fact that solutions of the Oseen system have the same asymptotic structure at infinity as the solutions of the steady Navier-Stokes system with the same boundary conditions. Thus, in the ``bootstrap" method, the streamfunction is calculated as a perturbation to the solution to the Oseen system. Solutions are calculated for a range of Reynolds number and we also investigate the solutions behaviour when the Reynolds number goes to infinity. The thesis compares the numerical results obtained using the proposed spectral ``bootstrap" method and a finite--difference approach for unbounded domains against previous results. For Reynolds numbers lower than 100, the wake is slender and similar to the flow hypothesized by Kirchoff (1869) and Levi-Civita (1907). For large Reynolds numbers the wake becomes wider and appears more similar to the Prandtl-Batchelor flow, see Batchelor (1956).</p> | en_US |
dc.subject | Fluid Mechanics | en_US |
dc.subject | steady Navier-Stokes Equation | en_US |
dc.subject | Oseen Equation | en_US |
dc.subject | Spectral Methods | en_US |
dc.subject | Fluid Dynamics | en_US |
dc.subject | Numerical Analysis and Computation | en_US |
dc.subject | Partial Differential Equations | en_US |
dc.subject | Fluid Dynamics | en_US |
dc.title | Computational Investigation of Steady Navier-Stokes Flows Past a Circular Obstacle in Two--Dimensional Unbounded Domain | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Computational Engineering and Science | en_US |
dc.description.degree | Doctor of Science (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
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fulltext.pdf | 2.66 MB | Adobe PDF | View/Open |
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