| Title: | Shape Optimization for Incompressible Laminar Flows |
| Fulltext: |  |
| Authors: | Olsson, Carl |
| Year: | 2004 |
| Document Type: | Master Thesis |
| Status: | Published |
| Refereed: | No |
| Keywords: | Optimization, fluid dynamics. |
| BibTeX item: |  |
| Abstract: | The problem to minimize the drag on a body that moves in an incompressible fluid is considered. We show that the difference between two solutions is small if the difference between the domains of the flow is small. This is then used to show that the energy functional describing the drag is continuous on a compact set, which implies that there exists a minima. An attempt to find the minima is then made by using steepest decent methods in MATLAB and FEMLAB. |
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