Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/12764
Title: | Computational Investigation of Steady Navier-Stokes Flows Past a Circular Obstacle in Two--Dimensional Unbounded Domain |
Authors: | Gustafsson, Carl Fredrik Jonathan |
Advisor: | Protas, Bartosz |
Department: | Computational Engineering and Science |
Keywords: | Fluid Mechanics;steady Navier-Stokes Equation;Oseen Equation;Spectral Methods;Fluid Dynamics;Numerical Analysis and Computation;Partial Differential Equations;Fluid Dynamics |
Publication Date: | Apr-2013 |
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> |
URI: | http://hdl.handle.net/11375/12764 |
Identifier: | opendissertations/7622 8680 3528333 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
---|---|---|---|
fulltext.pdf | 2.66 MB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.