Asymptotics and multi-scale simulation in numerical combustion laboratory
Stewart, D. Scott; Bdzil, John B.
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https://hdl.handle.net/2142/112392
Description
Title
Asymptotics and multi-scale simulation in numerical combustion laboratory
Author(s)
Stewart, D. Scott
Bdzil, John B.
Issue Date
1993-01
Keyword(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.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
TAM R 705
1993-6003
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112392
Copyright and License Information
Copyright 1993 Board of Trustees of the University of Illinois
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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