Qualitative modeling of the dynamics of detonations with losses

Handle URI:
http://hdl.handle.net/10754/566154
Title:
Qualitative modeling of the dynamics of detonations with losses
Authors:
Faria, Luiz ( 0000-0001-8159-4442 ) ; Kasimov, Aslan R.
Abstract:
We consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qualitative level, the essential properties of unsteady detonation waves, including pulsating and chaotic solutions. In particular, we investigate the effects of shock curvature and friction losses on detonation dynamics. To calculate steady-state solutions, a novel approach to solving the detonation eigenvalue problem is introduced that avoids the well-known numerical difficulties associated with the presence of a sonic point. By using unsteady numerical simulations of the simplified model, we also explore the nonlinear stability of steady-state or quasi-steady solutions. © 2014 The Combustion Institute.
KAUST Department:
Applied Mathematics and Computational Science Program
Publisher:
Elsevier BV
Journal:
Proceedings of the Combustion Institute
Issue Date:
2015
DOI:
10.1016/j.proci.2014.07.006
ARXIV:
arXiv:1407.8475v1
Type:
Article
ISSN:
15407489
Sponsors:
The research reported here was supported by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program

Full metadata record

DC FieldValue Language
dc.contributor.authorFaria, Luizen
dc.contributor.authorKasimov, Aslan R.en
dc.date.accessioned2015-08-12T09:30:19Zen
dc.date.available2015-08-12T09:30:19Zen
dc.date.issued2015en
dc.identifier.issn15407489en
dc.identifier.doi10.1016/j.proci.2014.07.006en
dc.identifier.urihttp://hdl.handle.net/10754/566154en
dc.description.abstractWe consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qualitative level, the essential properties of unsteady detonation waves, including pulsating and chaotic solutions. In particular, we investigate the effects of shock curvature and friction losses on detonation dynamics. To calculate steady-state solutions, a novel approach to solving the detonation eigenvalue problem is introduced that avoids the well-known numerical difficulties associated with the presence of a sonic point. By using unsteady numerical simulations of the simplified model, we also explore the nonlinear stability of steady-state or quasi-steady solutions. © 2014 The Combustion Institute.en
dc.description.sponsorshipThe research reported here was supported by King Abdullah University of Science and Technology (KAUST).en
dc.publisherElsevier BVen
dc.subjectCurvature effectsen
dc.subjectDetonation initiation/failureen
dc.subjectDetonation theoryen
dc.subjectDetonation with frictionen
dc.subjectNon-ideal detonationen
dc.titleQualitative modeling of the dynamics of detonations with lossesen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalProceedings of the Combustion Instituteen
dc.identifier.arxividarXiv:1407.8475v1en
kaust.authorFaria, Luizen
kaust.authorKasimov, Aslan R.en
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