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On the Finite Differences Used in Reacting Flow Simulations

Part of: Basic methods in fluid mechanics

Published online by Cambridge University Press:  14 September 2015

Robert Prosser
Robert Prosser*
Affiliation:
Department of Mechanical, Aerospace and Civil Engineering, University of Manchester, PO Box 88 Manchester M13 9PL, UK
*
*Corresponding author. Email address: mcjssrp2@manchester.ac.uk (R. Prosser)
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Abstract

There exist many spatial discretization schemes that are well able to provide accurate and stable approximations for isothermal turbulent flows. Comparatively little analysis has been made of the performance of these schemes in the presence of temperature gradients driven by combustion. In this paper, the effects of temperature gradients on numerical stability are explored. A surprising result is that temperature gradients in the flow have a tendency to impinge on left half plane (LHP) stability of the spatial discretization scheme. Reasons for this tendency are explored and two remedies are proposed: one based on the particular class of finite difference schemes, and one based on an alternative method of boundary condition specification.

Keywords

Numerical methodscombustionstability

MSC classification

Secondary: 76M20: Finite difference methods
Type
Research Article
Information
Communications in Computational Physics , Volume 18 , Issue 3 , September 2015 , pp. 558 - 576
Copyright
Copyright © Global-Science Press 2015 

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