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dc.contributor.advisorKasimov, Aslan R.
dc.contributor.authorFaria, Luiz
dc.date.accessioned2014-11-19T11:11:00Z
dc.date.available2014-11-19T11:11:00Z
dc.date.issued2014-11-09
dc.identifier.doi10.25781/KAUST-120ND
dc.identifier.urihttp://hdl.handle.net/10754/335798
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.
dc.language.isoen
dc.subjectdetonation
dc.subjectStability
dc.subjectchaos
dc.subjectshock waves
dc.subjectasymptotics
dc.titleQualitative and Asymptotic Theory of Detonations
dc.typeDissertation
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
thesis.degree.grantorKing Abdullah University of Science and Technology
dc.contributor.committeememberSamtaney, Ravi
dc.contributor.committeememberKetcheson, David I.
dc.contributor.committeememberKeyes, David E.
thesis.degree.disciplineApplied Mathematics and Computational Science
thesis.degree.nameDoctor of Philosophy
refterms.dateFOA2015-11-09T00:00:00Z


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