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Contact: F.X.Timmes
my one page vitae,
full vitae,
research statement, and
teaching statement.
The tools tacrni.f.zip and tmol.f.zip evolve the one-dimensional reaction-diffusion equation $$ \dfrac{dE}{dt} + P \dfrac{\partial (1/\rho)}{dt} = \dfrac{1}{\rho} \dfrac{\partial}{dx}\left( \sigma \dfrac{\partial T}{x} \right) + \epsilon_{\rm nuc} \label{eq1} \tag{1} $$ on adaptive, moving, non-uniform meshes. The first uses Newton iteration on the Crank-Nicolson algorithm while the second uses a method-of-lines (MOL) appraoch. The first is more-or-less what was used to obtain the properties of laminar flames propagating through carbon-oxygen compositions in this article and this article. The MOL solver is more-or-less what was used to obtain the properties of laminar flames propagating through helium compositions in this article.
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