Low Mach Number Modeling of Type Ia Supernovae. II. EnergyEvolution

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The convective period leading up to a Type Ia supernova (SNIa) explosion is characterized by very low Mach number flows, requiringhydrodynamical methods well-suited to long-time integration. We continuethe development of the low Mach number equation set for stellar scaleflows by incorporating the effects of heat release due to externalsources. Low Mach number hydrodynamics equations with a time-dependentbackground state are derived, and a numerical method based on theapproximate projection formalism is presented. We demonstrate throughvalidation with a fully compressible hydrodynamics code that this lowMach number model accurately captures the expansion of the stellaratmosphere as well as the local dynamics due to ... continued below

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Almgren, Ann S.; Bell, John B.; Rendleman, Charles A. & Zingale,Mike March 28, 2006.

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The convective period leading up to a Type Ia supernova (SNIa) explosion is characterized by very low Mach number flows, requiringhydrodynamical methods well-suited to long-time integration. We continuethe development of the low Mach number equation set for stellar scaleflows by incorporating the effects of heat release due to externalsources. Low Mach number hydrodynamics equations with a time-dependentbackground state are derived, and a numerical method based on theapproximate projection formalism is presented. We demonstrate throughvalidation with a fully compressible hydrodynamics code that this lowMach number model accurately captures the expansion of the stellaratmosphere as well as the local dynamics due to external heat sources.This algorithm provides the basis for an efficient simulation tool forstudying the ignition of SNe Ia.

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  • Journal Name: Astrophysical Journal; Journal Volume: 649; Journal Issue: 2pt1; Related Information: Journal Publication Date: 10/02/2006

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  • Report No.: LBNL--58673-Pt.II
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 920061
  • Archival Resource Key: ark:/67531/metadc898631

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  • March 28, 2006

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 29, 2016, 8:55 p.m.

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Almgren, Ann S.; Bell, John B.; Rendleman, Charles A. & Zingale,Mike. Low Mach Number Modeling of Type Ia Supernovae. II. EnergyEvolution, article, March 28, 2006; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc898631/: accessed August 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.