Wavelet-based adaptive simulations of three-dimensional flow past a square cylinder

Abstract

The wavelet-based eddy capturing approach is extended to three-dimensional bluff body flows, where the flow geometry is enforced through Brinkman volume penalization. The wavelet-collocation/volume-penalization combined method is applied to the simulation of vortex shedding flow behind an isolated stationary prism with square cross-section. Wavelet-based direct numerical simulation is conducted at low supercritical Reynolds number, where the wake develops fundamental three-dimensional flow structures, while wavelet-based adaptive large-eddy simulation supplied with the one-equation localized dynamic kinetic-energy-based model is performed at moderately high Reynolds number. The present results are in general agreement with experimental findings and numerical solutions provided by classical non-adaptive methods. This study demonstrates that the proposed hybrid methodology for modelling bluff body flows is feasible, accurate and efficient.

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

“…While WA-LES is not predicated on a specific class of closure procedures, certain SGS modelling properties are particularly advantageous in this framework. By employing models that automatically switch off in well-resolved flow regions, the control of the overall physical fidelity can be achieved by means of the adaptive wavelet-based filtering procedure (De Stefano & Vasilyev 2014), thereby forming a completely unified eddy-resolving modelling framework, capable of continuously changing between WA-LES, CVS and wavelet-based adaptive direct numerical simulation (WA-DNS) regimes, within a single simulation. The filtering parameters can be automatically adjusted, both spatially and temporally, based on objective physically based criteria throughout the course of the simulation, while targeting specific flow phenomena, which leads to the intelligent simulation of turbulent flows (Nejadmalayeri et al 2014; De Stefano, Nejadmalayeri & Vasilyev 2016).…”

“…A few authors have considered the low-Mach-number regime of compressible transport equations, for instance, investigating CVS of mixing layers (Roussel & Schneider 2010). Furthermore, research has been limited to a relatively narrow set of configurations, including homogeneous isotropic turbulence (Goldstein et al 2005; De Stefano & Vasilyev 2010), as well as turbulent wake flows behind bluff bodies (De Stefano & Vasilyev 2014; De Stefano et al 2016). Though the latter feature bounded flows, the Reynolds number was in the transitional regime and the boundary layer remained laminar.…”

A wavelet‐based variational multiscale method for the LES of incompressible flows in a high‐order DG‐FEM framework

“…Early simulations based upon the velocity‐vorticity formulation were presented by Fröhlich and Schneider . While more general adaptive collocation techniques were put forth by Vasilyev and Kevlahan, more recently, adaptive wavelet methods have seen use in conjunction with lattice Boltzmann and penalty methods to treat complex geometries . A detailed review on the application of wavelets to turbulent flows may be found within the work of Schneider and Vasilyev …”

“…36 While more general adaptive collocation techniques were put forth by Vasilyev and Kevlahan, 37 more recently, adaptive wavelet methods have seen use in conjunction with lattice Boltzmann and penalty methods to treat complex geometries. 38,39 A detailed review on the application of wavelets to turbulent flows may be found within the work of Schneider and Vasilyev. 40 In contrast to the prior works, our purpose for the SGW is unique, as we would like to make use of the SGW, solely to enhance the quality of the scale separation in the three-scale VMS-LES procedure.…”

Adaptive-Anisotropic Wavelet Collocation Method on general curvilinear coordinate systems

“…It dynamically adapts the grid using a wavelet basis decomposition to track localized structures in the solution, exploiting spatio-temporal intermittency to optimize the total grid point count. As a result, AWCM has been used to effectively analyze many physical problems, including turbulence [5,6,7], reacting flows [8,9], and geophysics [10].…”