THE APPLICATION OF BOUNDARY INTEGRAL TECHNIQUES TO MULTIPLY CONNECTED DOMAINS (VORTEX METHODS, EULER EQUATIONS, FLUID MECHANICS).

Persistent Link:
http://hdl.handle.net/10150/188100
Title:
THE APPLICATION OF BOUNDARY INTEGRAL TECHNIQUES TO MULTIPLY CONNECTED DOMAINS (VORTEX METHODS, EULER EQUATIONS, FLUID MECHANICS).
Author:
SHELLEY, MICHAEL JOHN.
Issue Date:
1985
Publisher:
The University of Arizona.
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.
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.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Integral equations.; Boundary value problems -- Numerical solutions.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Applied Mathematics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Baker, Gregory R.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleTHE APPLICATION OF BOUNDARY INTEGRAL TECHNIQUES TO MULTIPLY CONNECTED DOMAINS (VORTEX METHODS, EULER EQUATIONS, FLUID MECHANICS).en_US
dc.creatorSHELLEY, MICHAEL JOHN.en_US
dc.contributor.authorSHELLEY, MICHAEL JOHN.en_US
dc.date.issued1985en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © 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.description.abstractVery 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.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectIntegral equations.en_US
dc.subjectBoundary value problems -- Numerical solutions.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorBaker, Gregory R.en_US
dc.contributor.committeememberNewell, Alanen_US
dc.contributor.committeememberChen, C. F.en_US
dc.contributor.committeememberBurke, Jamesen_US
dc.identifier.proquest8603159en_US
dc.identifier.oclc696816847en_US
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