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Application of reduced order modeling for simulation of turbulent combustion

Reduced-order modeling (ROM) in the context of large-eddy simulation (LES) presents a computationally efficient and accurate strategy for simulation-based design studies. In this talk, application of a Galerkin projection-based ROM strategy to perform LES of a freely propagating methane/air turbulent premixed flame will be presented. The projection approach utilizes spatially varying proper orthogonal decomposition (POD) based modes obtained from a reference simulation as basis functions and solves for the time-dependent coefficients of the corresponding basis functions to obtain the solution. Since chemically reacting turbulent flows are governed by nonlinear system of equations, therefore, only employing a projection approach does not reduce the overall computational complexity. This is addressed by using the discrete empirical interpolation method (DEIM). The two ROM strategies, referred to as POD and POD-DEIM, are evaluated for their ability in predicting structural and statistical features of a freely propagating turbulent premixed flame.