Recent observations of Type Ia supernovae ( SNe Ia ) have shown diversified properties of the explosion strength , light curves and chemical composition .
To investigate possible origins of such diversities in SNe Ia , we have presented multi-dimensional hydrodynamical study of explosions and associated nucleosynthesis in the near Chandrasekhar mass carbon-oxygen ( CO ) white dwarfs ( WDs ) for a wide range of parameters ( Leung and Nomoto 2018 ApJ ) .
In the present paper , we extend our wide parameter survey of models to the explosions of sub-Chandrasekhar mass CO WDs .
We take the double detonation model for the explosion mechanism .
The model parameters of the survey include the metallicity of Z = 0 - 5 ~ { } Z _ { \odot } , the CO WD mass of M = 0.90 - 1.20 ~ { } M _ { \odot } , and the He envelope mass of M _ { He } = 0.05 - 0.20 ~ { } M _ { \odot } .
We also study how the initial He detonation configuration , such as spherical , bubble , and ring shapes , triggers the C detonation .
For these parameters , we derive the minimum He envelope mass necessary to trigger the C detonation .
We then examine how the explosion dynamics and associated nucleosynthesis depend on these parameters , and compare our results with the previous representative models .
We compare our nucleosynthesis yields with the unusual abundance patterns of Fe-peak elements and isotopes observed in SNe Ia 2011fe , 2012cg and 2014J , as well as SN Ia remnant 3C 397 to provide constraints on their progenitors and environments .
We provide the nucleosynthesis yields table of the sub-Chandrasekhar mass explosions , to discuss their roles in the galactic chemical evolution and archaeology .