A particle code for deflagrations in white dwarfs. I. Numerical techniques

摘要: In this paper we report some specific features of the numerical technique used to study dynamic evolution massive white dwarfs following explosive ignition nuclear fuel under degenerate conditions. We focus on three important points: (1) how construct a stable initial model for with central density ρc > 109 g cm-3 in context smoothed particle hydrodynamics (SPH); (2) procedure devised handling combustion fronts and thermal discontinuities; (3) proposed method based techniques analysis sets points characterize flame front structure. As will show, combination these methods along standard SPH makes deflagrations feasible even dimensions. After explaining detail scheme, show results several calculations, dimensions, addressed checking ability hydrocode handle two regimes. First, tests were carried out physical conditions that Chandrasekhar-mass models Type Ia supernovae, compared one-dimensional calculations. also explored consequences at very high densities, where electron captures play fundamental role further dwarf, collapse neutron star instead an explosion is expected. Our calculations support idea various fractal can successfully be gross provided energy injected first stages sufficient dominate noise. An extensive number both supernovae explosions accretion-induced dwarf are progress reported future publications.