High-Order Methods for Turbulent Flows on Three-Dimensional Strand Grids

In this paper, we formulate a high-order flux correction method for three-dimensional laminar and turbulent flows on strand grids. Building on previous work, we treat flux derivatives along strands with high-order summation-by-parts operators and penalty-based boundary conditions. Where turbulence modeling is required, a robust version of the Spalart-Allmaras model is employed that accommodates negative values of the turbulence working variable. Fundamental verification and validation studies are considered, which demonstrate the flux correction method achieves high-order accuracy for both laminar and turbulent flows. The high-order flux correction requires only 30% more walltime to converge when compared to a second-order scheme.