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Title:Asymptotics and multi-scale simulation in numerical combustion laboratory
Author(s):Stewart, D. Scott; Bdzil, John B.
Subject(s):Multi-scale Simulation
Numerical Combustion Lab
Abstract:The combustion problems that arise in complex engineering applications contain many important yet disparate length scales. The device size is typically many orders of magnitude larger than the heat-release zone size. To get an accurate rendering of the device, the physics that occurs on all these scales needs to be modeled accurately. We discuss three problems related to this issue. First, by direct numerical simulation we show how an asymptotic sub-model derived from the full model (reactive Euler equations) provides both a simple and useful description of a thin, stable, detonation heat-release zone. Next, we describe a detailed numerical study of a highly unstable detonation reaction zone. The results for this problem are shown to be very sensitive to slight differences in the numerical algorithms used to get the solutions. Finally, we discuss the computational costs associated with obtaining highly-resolved solutions to multi-scale problems. The benefits of multi-grid methods are discussed.
Issue Date:1993-01
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 705
1993-6003
Genre:Technical Report
Type:Text
Language:English
URI:http://hdl.handle.net/2142/112392
ISSN:0073-5264
Rights Information:Copyright 1993 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04


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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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