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Low Mach Number Modeling of Type Ia Supernovae. III. Reactions

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A. S. Almgren1, J. B. Bell1, A. Nonaka1 and M. Zingale2

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We continue the description of a low Mach number hydrodynamics algorithm for reacting, full star flows. Here we demonstrate how to accurately incorporate reactions using a second-order accurate Strang-splitting technique. We also improve the fidelity of the model by allowing the base state to evolve in response to large-scale convection as well as large-scale heating, taking care to account for the compositional changes to the base state as well. The new algorithm is tested via comparisons with a fully compressible code and shown to be in good agreement. The resulting code, MAESTRO, once extended to incorporate a spherically symmetric base state, will be used to study the convection and ignition phases of Type Ia supernovae.

Subject headings

convection; hydrodynamics; methods: numerical; nuclear reactions, nucleosynthesis, abundances; supernovae: general; white dwarfs


Dates

Issue 1 (2008 September 1)

Received 2007 May 2, accepted for publication 2008 May 21



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