THE APPLICATION OF BOUNDARY INTEGRAL TECHNIQUES TO MULTIPLY CONNECTED DOMAINS (VORTEX METHODS, EULER EQUATIONS, FLUID MECHANICS).
| dc.contributor.advisor | Baker, Gregory R. | en_US |
| dc.contributor.author | SHELLEY, MICHAEL JOHN. | |
| dc.creator | SHELLEY, MICHAEL JOHN. | en_US |
| dc.date.accessioned | 2011-10-31T19:01:20Z | |
| dc.date.available | 2011-10-31T19:01:20Z | |
| dc.date.issued | 1985 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10150/188100 | |
| dc.description.abstract | Very accurate methods, based on boundary integral techniques, are developed for the study of multiple, interacting fluid interfaces in an Eulerian fluid. These methods are applied to the evolution of a thin, periodic layer of constant vorticity embedded in irrotational fluid. Numerical regularity experiments are conducted and suggest that the interfaces of the layer develop a curvature singularity in infinite time. This is to be contrasted with the more singular vorticity distribution of a vortex sheet developing such a singularity in a finite time. | |
| dc.language.iso | en | en_US |
| dc.publisher | The University of Arizona. | en_US |
| dc.rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. | en_US |
| dc.subject | Integral equations. | en_US |
| dc.subject | Boundary value problems -- Numerical solutions. | en_US |
| dc.title | THE APPLICATION OF BOUNDARY INTEGRAL TECHNIQUES TO MULTIPLY CONNECTED DOMAINS (VORTEX METHODS, EULER EQUATIONS, FLUID MECHANICS). | en_US |
| dc.type | text | en_US |
| dc.type | Dissertation-Reproduction (electronic) | en_US |
| dc.identifier.oclc | 696816847 | en_US |
| thesis.degree.grantor | University of Arizona | en_US |
| thesis.degree.level | doctoral | en_US |
| dc.contributor.committeemember | Newell, Alan | en_US |
| dc.contributor.committeemember | Chen, C. F. | en_US |
| dc.contributor.committeemember | Burke, James | en_US |
| dc.identifier.proquest | 8603159 | en_US |
| thesis.degree.discipline | Applied Mathematics | en_US |
| thesis.degree.discipline | Graduate College | en_US |
| thesis.degree.name | Ph.D. | en_US |
| dc.description.note | This item was digitized from a paper original and/or a microfilm copy. If you need higher-resolution images for any content in this item, please contact us at repository@u.library.arizona.edu. | |
| dc.description.admin-note | Original file replaced with corrected file July 2023. | |
| refterms.dateFOA | 2018-09-03T16:41:24Z | |
| html.description.abstract | Very accurate methods, based on boundary integral techniques, are developed for the study of multiple, interacting fluid interfaces in an Eulerian fluid. These methods are applied to the evolution of a thin, periodic layer of constant vorticity embedded in irrotational fluid. Numerical regularity experiments are conducted and suggest that the interfaces of the layer develop a curvature singularity in infinite time. This is to be contrasted with the more singular vorticity distribution of a vortex sheet developing such a singularity in a finite time. |
