Turbulence model for simulation of the flame front propagation in SNIa

Turbulence significantly influences the dynamics of flame in SNIa. The large Reynolds number makes impossible the direct numerical simulations of turbulence, and different models of turbulence have to be used. Here we present the simulations with the $k$-$\epsilon$ model. The turbulence is generated by the RTL instability and crucially influences flame front velocity, resulting in $v_{\rm flame}\sim 300$ km/s. The model reproduces turbulent properties in low-dimensional simulations and can be used for the low-cost studies.