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Linear finite-element numerical techniques for combustion problems requiring variable step size

Sandusky, H. and Bellan, J. and Ohlemiller, T. J. and Vichnevetsky, R. (1979) Linear finite-element numerical techniques for combustion problems requiring variable step size. Combustion and Flame, 36 . pp. 193-196. ISSN 0010-2180. http://resolver.caltech.edu/CaltechAUTHORS:20171019-140429082

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Abstract

Combustion problems frequently pose situations in which the dependent variables (temperature, species concentrations, etc.) vary rapidly in some local domain and much more slowly throughout the remaining region of interest. Such situations arise for both fluid-mechanical (e.g., boundary-layer behavior) and chemical reasons (i.e., Arrhenius- type temperature dependence of chemical reaction rates). In any case, they present a particular difficulty in the numerical solution of the governing conservation equations: if a fixed space-step is to be used, its magnitude is dictated by stability and/or accuracy requirements of the limited but rapidly varying domain. Outside this narrow domain, many more space steps are taken than are required; computing costs are thus magnified. Various means to avoid this difficulty have been used in the past, but none has proved generally satisfactory or convenient. Finite-element methods are substantially more convenient than the classical finite-difference techniques for approximating spatial dependencies in certain combustion problems. We discuss only linear finite-element (LFE) methods here. A discussion of this and more general finite-element methods can be found in several sources [1-3]; we briefly outline the application of the LFE method and illustrate its advantages.


Item Type:Article
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https://doi.org/10.1016/0010-2180(79)90059-2DOIArticle
http://www.sciencedirect.com/science/article/pii/0010218079900592?via%3DihubPublisherArticle
Additional Information:© 1979 Published by Elsevier Inc. Received 17 July 1977, Revised 25 March 1979.
Record Number:CaltechAUTHORS:20171019-140429082
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171019-140429082
Official Citation:H. Sandusky, J. Bellan, T.J. Ohlemiller, R. Vichnevetsky, Linear finite-element numerical techniques for combustion problems requiring variable step size, In Combustion and Flame, Volume 36, 1979, Pages 193-196, ISSN 0010-2180, https://doi.org/10.1016/0010-2180(79)90059-2. (http://www.sciencedirect.com/science/article/pii/0010218079900592)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82512
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Oct 2017 21:13
Last Modified:19 Oct 2017 21:13

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