Density Filtering for a Flame-Embedding Approach Based on LargeEddy Simulation and the One-Dimensional Turbulence Model
The complex nature of turbulent combustion flows requires simulation and modeling of diverse scales. An approach to capturing the inherent multi-scale physics of the combustion phenomena is introduced by the present flame-embedding approach. The approach represents a multi-scale Large-Eddy Simulation (LES) framework used for turbulent combustion. The large-scale grid and LES model account for the low-resolution physics of the flow whereas the fine-scale phenomena, including chemistry, subgrid scale transport, are captured by the One-Dimensional Turbulence (ODT) model. In Lagrangian LES-ODT, ODT elements are attached to the flame surface and transported along with the flow. Due to the coupling between the two solutions, variables such as velocity and mixture fraction are passed from LES to ODT; while, the ODT density is passed from ODT grids to LES grids. Density fields filtered from ODT solutions are calculated. An approach is proposed to spatially-filter the ODT density to the LES cell centers where there is a flame. The spatially filtered LES density is blended with density solution where only pure mixing is present to obtain a density for LES cells throughout the computational domain.
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