A low-dissipative, scale-selective discretization scheme for the Navier–Stokes equations

摘要: Abstract A new Scale-Selective Discretization (SSD) procedure for the Navier–Stokes equations is proposed. The aim to reduce numerical dissipation of already existing schemes make SSD scheme easily implementable CFD codes. In particular, designed decrease errors arising from discretization convection term using upwind-biased schemes. Such dissipative quality high-fidelity simulation approaches in fluid dynamics such as Large-Eddy Simulations (LES). based on separating small and large scales flow a high-pass filter. As first pre-processing step convecting velocity field u i decomposed into rapidly fluctuating part ′ filter smooth - . After this derivatives involving may be discretized with centered whereas can an upwind method. tested simulations by implementing method second order accurate incompressible finite volume code fractional tests 2D lid-driven cavity at laminar conditions Re = 2500 imply that clearly improves simulations. At  = 10,000 captures post-critical state flow. advantages are quantitatively assessed studying temporally evolving shear layer. results significantly reduces diffusion contrast conventional Results marginally resolved turbulent channel τ 590 used 3D