Laminar Deflagrations


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Contact: F.X.Timmes
my one page vitae,
full vitae,
research statement, and
teaching statement.

The instruments tacrni.f.zip and tmol.f.zip solve 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 mesh The first uses Newton iteration on the Crank-Nicolson algorithm while the second uses an implicit method-of-lines (MOL) algorithm. The Crank-Nicolson solver is more-or-less what I used to obtain the properties of laminar flames propagating through carbon-oxygen compositions cflame.pdf and bflame.pdf. The MOL solver is more-or-less what I used to obtain the properties of laminar flames propagating through helium compositions. While the test problems included with the codes are quite simple, the core solvers are capable of more complicated cases.

image laminar oxygen-neon flame image carbon-oxygen flame speeds
image density bounce image laminar helium flame
image regimes in the rho-T plane image heating & cooling

Please cite the relevant references if you publish a piece of work that use these codes, pieces of these codes, or modified versions of them. Offer co-authorship as appropriate.