Statistics – Computation
Scientific paper
May 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aas...212.1605n&link_type=abstract
American Astronomical Society, AAS Meeting #212, #16.05; Bulletin of the American Astronomical Society, Vol. 40, p.210
Statistics
Computation
2
Scientific paper
We present a numerical algorithm suitable for computing low Mach number phenomena in stellar environments. The low Mach number approach allows for significant computational savings over traditional compressible methods, as we filter the acoustic waves from the solution in order to increase the time step. Our equation set is derived from fully compressible equations, but without any limitation on the size of perturbations in density or temperature. The numerical algorithm is based on an approximate projection formalism, uses a second-order accurate splitting technique to incorporate the reactions, and a semi-implicit approach to thermal diffusion. Comparisons to fully compressible codes are in good agreement. We will apply our method to real phenomena including the convection leading up to the ignition of type Ia supernovae as well as the heating, peak, and cooling stages of x-ray bursts in neutron stars.
Almgren Ann
Bell James
Malone Charles
Nonaka Andrew
Zingale Michael
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