A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Turbulent Reactive Flows on Unstructured Mesh

Abstract

High-order discretization techniques offer the potential to significantly reduce the computational costs necessary to obtain accurate predictions when compared to lower-order methods. However, efficient, universallyapplicable, high-order discretizations remain somewhat illusive, especially for more arbitrary unstructured meshes and for large-eddy simulation (LES) of turbulent reacting flows. A novel, high-order, central essentially non-oscillatory (CENO), cell-centered, finite-volume scheme is proposed for the solution of the conservation equations of turbulent, reactive, low speed flows on three-dimensional unstructured meshes. The proposed scheme is applied to the pseudo-compressibility formulation of the Favre-filtered governing equations and the resulting discretized equations are solved with a parallel implicit Newton-Krylov algorithm. Temporal derivatives are discretized using the family of high-order backward difference formulas (BDF) and the resulting equations are solved via a dual-time stepping approach. Large-eddy simulations of a laboratory-scale turbulent flame is carried out and the proposed finite-volume scheme is validated against experimental measurements. The high-order scheme is demonstrated to provide both reliable and accurate solutions for complex turbulent reactive flows.