Turbulence model for simulation of the flame front propagation in SNIa

TL;DR

This paper presents a turbulence model using the $k$-$psilon$ approach to simulate flame front propagation in Type Ia supernovae, capturing turbulence effects without costly direct numerical simulations.

Contribution

It introduces a turbulence modeling framework for SNIa flame propagation that reproduces turbulent properties efficiently in low-dimensional simulations.

Findings

Turbulence significantly affects flame front velocity (~300 km/s).

The $k$-$psilon$ model effectively reproduces turbulence properties.

The model enables low-cost, reliable simulations of SNIa flame dynamics.

Abstract

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.