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The predictive numerical simulation of supersonic turbulent combustion, inwhich the turbulent intensity is high and the fuel/air mixture is near theflammability limit, remains challenging. An investigation of subgrid mixingtimescale modelling in large eddy simulation (LES) of supersonic turbulentflames was carried out in this study. In the Partially Stirred Reactor (PaSR)combustion model, the dissipation-rate-based models estimate the mixingtimescale by modeling dissipation rate, which may lead to incorrect estimationof mixing times at different grid resolutions. To solve the existing problem, agradient-based mixing timescale estimation method was proposed. Subsequently,different approaches of subgrid mixing timescale in PaSR are compared andvalidated on a supersonic mixing layer, including a dissipation-rate-basedmodel and the proposed gradient-based model. Sensitivity analysis of the modelconstants and grid resolution was also studied and compared with detailed DNSdata. The results highlight the importance of mixing models to correctly handleturbulence/chemistry interactions in supersonic combustion and clearly indicatethe proposed model can correctly estimate the subgrid mixing timescale atcoarse grids and decline rapidly as it tends to DNS limit.

An investigation of subgrid mixing timescale modelling in LES of supersonic turbulent flames