Home
Astronomy Research
Radiative Opacity
2024 Neutrino Emission from Stars
2023 White Dwarfs & 12C(α,γ)16O
2023 MESA VI
2022 Earendel, A Highly Magnified Star
2022 Black Hole Mass Spectrum
2021 Skye Equation of State
2021 White Dwarf Pulsations & 22Ne
Software Instruments
Stellar equation of states
EOS with ionization
EOS for supernovae
Chemical potentials
Stellar atmospheres
Voigt Function
Jeans escape
Polytropic stars
Cold white dwarfs
Adiabatic white dwarfs
Cold neutron stars
Stellar opacities
Neutrino energy loss rates
Ephemeris routines
Fermi-Dirac functions
Polyhedra volume
Plane - cube intersection
Coating an ellipsoid
Nuclear reaction networks
Nuclear statistical equilibrium
Laminar deflagrations
CJ detonations
ZND detonations
Fitting to conic sections
Unusual linear algebra
Derivatives on uneven grids
Pentadiagonal solver
Quadratics, Cubics, Quartics
Supernova light curves
Exact Riemann solutions
1D PPM hydrodynamics
Hydrodynamic test cases
Galactic chemical evolution
Universal two-body problem
Circular and elliptical 3 body
The pendulum
Phyllotaxis
MESA
MESA-Web
FLASH
Zingale's software
Brown's dStar
GR1D code
Iliadis' STARLIB database
Herwig's NuGRID
Meyer's NetNuc
AAS Journals
2024 AAS YouTube
2024 AAS Peer Review Workshops
2024 ASU Energy in Everyday Life
2024 MESA Classroom
Outreach
and
Education Materials
Other Stuff:
Bicycle Adventures
Illustrations
Presentations
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.
|