Qualitative and Asymptotic Theory of Detonations

Handle URI:
http://hdl.handle.net/10754/335798
Title:
Qualitative and Asymptotic Theory of Detonations
Authors:
Faria, Luiz ( 0000-0001-8159-4442 )
Abstract:
Shock waves in reactive media possess very rich dynamics: from formation of cells in multiple dimensions to oscillating shock fronts in one-dimension. Because of the extreme complexity of the equations of combustion theory, most of the current understanding of unstable detonation waves relies on extensive numerical simulations of the reactive compressible Euler/Navier-Stokes equations. Attempts at a simplified theory have been made in the past, most of which are very successful in describing steady detonation waves. In this work we focus on obtaining simplified theories capable of capturing not only the steady, but also the unsteady behavior of detonation waves. The first part of this thesis is focused on qualitative theories of detonation, where ad hoc models are proposed and analyzed. We show that equations as simple as a forced Burgers equation can capture most of the complex phenomena observed in detonations. In the second part of this thesis we focus on rational theories, and derive a weakly nonlinear model of multi-dimensional detonations. We also show, by analysis and numerical simulations, that the asymptotic equations provide good quantitative predictions.
Advisors:
Kasimov, Aslan
Committee Member:
Samtaney, Ravi ( 0000-0002-4702-6473 ) ; Ketcheson, David I. ( 0000-0002-1212-126X ) ; Keyes, David E. ( 0000-0002-4052-7224 )
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Program:
Applied Mathematics and Computational Science
Issue Date:
9-Nov-2014
Type:
Dissertation
Appears in Collections:
Applied Mathematics and Computational Science Program; Dissertations; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.advisorKasimov, Aslanen
dc.contributor.authorFaria, Luizen
dc.date.accessioned2014-11-19T11:11:00Z-
dc.date.available2014-11-19T11:11:00Z-
dc.date.issued2014-11-09en
dc.identifier.urihttp://hdl.handle.net/10754/335798en
dc.description.abstractShock waves in reactive media possess very rich dynamics: from formation of cells in multiple dimensions to oscillating shock fronts in one-dimension. Because of the extreme complexity of the equations of combustion theory, most of the current understanding of unstable detonation waves relies on extensive numerical simulations of the reactive compressible Euler/Navier-Stokes equations. Attempts at a simplified theory have been made in the past, most of which are very successful in describing steady detonation waves. In this work we focus on obtaining simplified theories capable of capturing not only the steady, but also the unsteady behavior of detonation waves. The first part of this thesis is focused on qualitative theories of detonation, where ad hoc models are proposed and analyzed. We show that equations as simple as a forced Burgers equation can capture most of the complex phenomena observed in detonations. In the second part of this thesis we focus on rational theories, and derive a weakly nonlinear model of multi-dimensional detonations. We also show, by analysis and numerical simulations, that the asymptotic equations provide good quantitative predictions.en
dc.language.isoenen
dc.subjectdetonationen
dc.subjectStabilityen
dc.subjectchaosen
dc.subjectshock wavesen
dc.subjectasymptoticsen
dc.titleQualitative and Asymptotic Theory of Detonationsen
dc.typeDissertationen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberSamtaney, Ravien
dc.contributor.committeememberKetcheson, David I.en
dc.contributor.committeememberKeyes, David E.en
thesis.degree.disciplineApplied Mathematics and Computational Scienceen
thesis.degree.nameDoctor of Philosophyen
dc.person.id113256en
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