Assessment of a Two-Equation Turbulence Model in the High-Order Flux Correction Scheme

摘要

In this work, we examine a two-equation turbulence model in the flux correction method for three-dimensional turbulent flows on strand grids. Building upon previous work, flux derivatives along strands are treated with high-order summation-by-parts operators and penalty-based boundary conditions. To achieve turbulence closure in the Reynolds-Averaged Navier-Stokes equations, the two-equation Menter SST k-ω turbulence model is employed. Oscillations caused by the large specific dissipation rate viscous wall boundary condition are damped with selected techniques and the symmetric limited positive scheme of Jameson. Verification and validation studies are considered and demonstrate the flux correction method achieves a high degree of accuracy for the Menter SST turbulence model without any oscillations in the solution. High-order turbulent flux correction results demonstrate improvements in accuracy with minimal computational and algorithmic overhead over traditional second-order algorithms.