  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.
