Wavelet-based adaptive unsteady Reynolds-averaged turbulence modelling of external flows

Abstract

The recent development of the adaptive-anisotropic wavelet-collocation method, which incorporates the use of coordinate transforms, opens new horizons for wavelet-based simulations of wall-bounded turbulent flows. The new wavelet-based adaptive unsteady Reynolds-averaged Navier–Stokes approach for computational modelling of turbulent flows is presented. The proposed methodology that is integrated with anisotropic wavelet-based mesh refinement is demonstrated for a two-equation eddy-viscosity turbulence model. The performance of the method is assessed by conducting numerical simulations of the turbulent flow past a circular cylinder at subcritical Reynolds number. The present study demonstrates both the feasibility and the effectiveness of the new wavelet-based adaptive unsteady Reynolds-averaged turbulence modelling procedure for external flows.

Wavelet-based adaptive large-eddy simulation of supersonic channel flow

“…The use of wavelets is not limited here to the efficient solution of the modelled equations by employing wavelet-based adaptive grids. This would occur for low-fidelity approaches such as Reynolds-averaged Navier–Stokes turbulence modelling procedures (De Stefano, Vasilyev & Brown-Dymkoski 2018), where significant computational savings are achieved from wavelet-based grid compression. Differently, the present approach exploits the built-in filtering effect of the AWC method, the modelled equations being directly dependent on the WTF definition (2.2).…”

Hierarchical Adaptive Eddy-Capturing Approach for Modeling and Simulation of Turbulent Flows

“…However, the same wavelet-based method can be also limited to the efficient solution of differently modeled equations. For instance, lower-fidelity approaches such as wavelet-based adaptive unsteady Reynolds-averaged Navier-Stokes (WA-URANS) [43][44][45] and wavelet-based adaptive delayed detached eddy simulation (WA-DDES) [46] were recently developed and incorporated into the more general hierarchical adaptive eddy-resolving framework for wall-bounded compressible turbulent flows, which also includes WA-DNS, CVS, and WA-LES. Differently from the hierarchical adaptive eddy-capturing approach described in this article, the hierarchical adaptive eddy-resolving framework discussed in the accompanying article in this issue also includes model-form adaptation while incorporating both wavelet-filtered and RANS equations, together with the associated model closure equations.…”

CFD Prediction of Aircraft Control Surfaces Aerodynamics

“…The RANS method is commonly used for the simulation of both compressible and incompressible aerodynamic flows, e.g. [ 15 , 16 ].…”