White dwarf in a binary system are birth place of several astrophysical transients, most notably Type Ia supernovae (SN Ia). Analytical and detailed computational modelling of turbulent flame interaction in the white dwarf core near Chandrasekhar mass has been going on for last 40 years.
We still have very few observational evidence to support single degenerate channel as a route to majority of SN Ia. We have analyzed a detailed recent observation of a remnant 3C397 against 2-dimensional simulations of various models. The initial observations indicated the remnant to come from the explosion of a WD with 5 times solar luminosity. We have shown that the same observation can be explained by a high central density deflagration model of near Chandrasekhar mass object.
Check out this paper for details — https://arxiv.org/abs/1705.02339
Compact Binary Mergers 