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Direct numerical simulations of unst...

Park, Surg-Jue.

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Direct numerical simulations of unstable detonations by the space-time conservation element and solution element method.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Direct numerical simulations of unstable detonations by the space-time conservation element and solution element method./
Author:	Park, Surg-Jue.
Description:	124 p.
Notes:	Adviser: Sheng-Tao Yu.
Contained By:	Dissertation Abstracts International61-10B.
Subject:	Chemistry, Analytical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9992252
ISBN:	9780493000268

Direct numerical simulations of unstable detonations by the space-time conservation element and solution element method.
Park, Surg-Jue.

Direct numerical simulations of unstable detonations by the space-time conservation element and solution element method. - 124 p.

Adviser: Sheng-Tao Yu.

Thesis (Ph.D.)--Wayne State University, 2000.

In this thesis, the Space-Time Conservation Element and Solution Element (CE/SE) method has been extended for hyperbolic systems of conservation laws with a stiff, nonlinear source term. Numerical results for detonations were compared with analytical solutions and those obtained by conventional schemes and showed a good agreement with them.

ISBN: 9780493000268Subjects--Topical Terms:

586156
Chemistry, Analytical.

Direct numerical simulations of unstable detonations by the space-time conservation element and solution element method.
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020 $a 9780493000268
035 $a (UMI)AAI9992252
035 $a AAI9992252
040 $a UMI $c UMI
100 1 $a Park, Surg-Jue. $3 1275191
245 1 0 $a Direct numerical simulations of unstable detonations by the space-time conservation element and solution element method.
300 $a 124 p.
500 $a Adviser: Sheng-Tao Yu.
500 $a Source: Dissertation Abstracts International, Volume: 61-10, Section: B, page: 5362.
502 $a Thesis (Ph.D.)--Wayne State University, 2000.
520 $a In this thesis, the Space-Time Conservation Element and Solution Element (CE/SE) method has been extended for hyperbolic systems of conservation laws with a stiff, nonlinear source term. Numerical results for detonations were compared with analytical solutions and those obtained by conventional schemes and showed a good agreement with them.
520 $a Both steady and unsteady detonations were considered in calculation. In both cases, steady profiles of flow properties based on the ZND theory are used as the initial conditions. A brief outline of the CE/SE method was provided, including space-time integration formulation and discretization schemes. In addition, numerical treatments of stiff source terms based on integration over the conservation element are also illustrated.
520 $a The CE/SE scheme was extended to the one and multiple dimensional, unsteady Euler equations for chemically reacting flow. Numerical studies of stable and unstable detonations were conducted for the piston problem and the instability problem. Results are compared with Erpenbeck's solutions for the piston problems and Bourlioux's solutions for the instability problems. Numerical results of detonation initiations in cold reactive gaseous mixtures by a hot reactive pocket were also presented. The initiation, transition, and quenching of the weak detonation are calculated.
520 $a The Chapter four deals with the implementation of the CE/SE method to the two-dimensional unsteady reactive Euler equations. A numerical study of two-dimensional detonations was performed to capturing all salient features of complex flow physics of detonations, including cellular structures, triple points, and counter-rotated vortices. When the triple points collide, a new Mach stem is created and a vortex pair detaching from the leading incident shock, and propagating downstream can be observed. Results by the present approach show details of cellular structure perhaps clearer than previously published results.
590 $a School code: 0254.
650 4 $a Chemistry, Analytical. $3 586156
650 4 $a Engineering, Aerospace. $3 1018395
650 4 $a Mathematics. $3 515831
690 $a 0405
690 $a 0486
690 $a 0538
710 2 $a Wayne State University. $3 975058
773 0 $t Dissertation Abstracts International $g 61-10B.
790 $a 0254
790 1 0 $a Yu, Sheng-Tao, $e advisor
791 $a Ph.D.
792 $a 2000
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9992252