@Article{CiCP-18-558,
author = {Robert Prosser},
title = {On the Finite Differences Used in Reacting Flow Simulations},
journal = {Communications in Computational Physics},
year = {2018},
volume = {18},
number = {3},
pages = {558--576},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.260614.041214a},
url = {http://global-sci.org/intro/article_detail/cicp/11040.html}
}