Unstructured grid simulations of shocks and detonations in two-phase flows
Sivier, Steven Arthur
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Permalink
https://hdl.handle.net/2142/19616
Description
Title
Unstructured grid simulations of shocks and detonations in two-phase flows
Author(s)
Sivier, Steven Arthur
Issue Date
1995
Doctoral Committee Chair(s)
Loth, Eric
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Aerospace
Engineering, Mechanical
Language
eng
Abstract
A series of numerical simulations have been made of compressible two-phase flows containing inert particles. An existing conservative, monotonic compressible flow solver with an unstructured, adaptive mesh was used as the basis for code development. This flow solver incorporated the Finite Element Method-Flux Corrected Transport scheme, which has shown excellent predictive capability of various compressible flows which include both strong and weak shocks. Two separate two-phase flow techniques have been added to this solver to allow simulations of both Eulerian-Eulerian treatment and Eulerian-Lagrangian treatment. Both methods were used to study one-dimensional shock wave attenuation in two-phase flow containing gas and particles. The results show good agreement with experiment for both methods. The Lagrangian particle method tracked groups of particles as parcels and implemented a parcel adaptation method to ensure adequate parcel distribution throughout the adaptive mesh. This resulted in very large savings in CPU and memory requirements as compared to a conventional (non-parcel-adaptive) Lagrangian technique. The Eulerian particle method was found to produce cleaner solutions and required about half the memory and CPU time as the Lagrangian particle method.
In the second thrust of this study, an inexpensive two-step induction parameter model was added to the Eulerian-Eulerian two-phase code to model the combustion of the gas phase. This combustion model was used to study shock initiated detonations of a hypothetical H$\sb{2}$:O$\sb{2}$ mixture in a shock tube both with and without inert glass particles. The single-phase studies were used to document the detonation pattern resulting from the hypothetical combustion model and to provide grid resolution studies. In the two-phase detonations, it was found that decreasing the particle diameter while holding the particle mass loading constant, results in higher drag, work, and heat loadings that the particles place on the gas. Below a certain diameter, the detonations were seen to fail as indicated by a monotonic growth in the length of the induction zone.
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