Wavenumber Adaptive Simulation of Taylor-Green Vortex Flow

Simulations of Taylor-Green vortex flow were performed at Re = 3000 using a two-equation Wavenumber Adaptive Simulation (WAS) model. The model is based on the partial-averaging closure formulation for hybrid turbulence modeling. Turbulent viscosity was computed using the standard k-ω SST URANS turbulence model and scaled directly and locally by the ratio of unresolved-to-total turbulent kinetic energy (f_k). The scaling ratio f_k was computed via partial integration of the turbulent kinetic energy spectrum, dependent on local cell cut-off wavenumber. Simulations of Taylor-Green vortex flow were performed at different levels of spatial resolution to study the effect of cut-off wavenumber. Simulations were repeated using standard k-ω SST URANS turbulence model and compared to highlight improved accuracy when using the WAS model. The turbulent kinetic energy spectrum and transient behavior of total kinetic energy and dissipation rate were examined to establish the efficacy of WAS a hybrid turbulence model.