In the framework of self-adaptive turbulence eddy simulation(SATES),a novel SATES-sigma turbulence model is developed based on sigma subgrid-scale model in the current work.This model is implemented in the high-fidelity numerical investigation of cold and combusting flow past a v-gutter flameholder.In comparison with available experimental data,the reliability and per-formance differences between the newly developed SATES-sigma model and the previous SATES-Smagorinsky model in cold state and combustion calculation are compared and analyzed.It shows that the SATES-sigma model proposed in this paper accurately predicts the complex turbulent wake.Further,combined finite-rate/eddy dissipation combustion model to simulate the reacting flows,the SATES-sigma model is significantly better than the SATES-Smagorinsky model in the prediction of combustion field,which shows high application potential in turbulent combustion applications.