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Review

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

1
Engineering Department, University of Campania Luigi Vanvitelli, Via Roma 29, 81031 Aversa, Italy
2
Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, 125047 Moscow, Russia
3
Adaptive Wavelet Technologies LLC, Superior, CO 80027, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Markus Klein
Fluids 2021, 6(2), 83; https://doi.org/10.3390/fluids6020083
Received: 10 January 2021 / Revised: 8 February 2021 / Accepted: 9 February 2021 / Published: 13 February 2021
(This article belongs to the Special Issue Wavelets and Fluid Dynamics)
A short review of wavelet-based adaptive methods for modeling and simulation of incompressible turbulent flows is presented. Wavelet-based computational modeling approaches of different fidelities are recast into an integrated hierarchical adaptive eddy-capturing turbulence modeling framework. The wavelet threshold filtering procedure and the associated wavelet-filtered Navier–Stokes equations are briefly discussed, along with the adaptive wavelet collocation method that is used for numerical computations. Depending on the level of wavelet thresholding, the simulation is possibly supplemented with a localized closure model. The latest advancements in spatiotemporally varying wavelet thresholding procedures along with the adaptive-anisotropic wavelet-collocation method make the development of a fully adaptive approach feasible with potential applications for complex turbulent flows. View Full-Text
Keywords: adaptive numerical methods; coherent vortex simulation; direct numerical simulation; large-eddy simulation; wavelet collocation method; wavelet threshold filtering adaptive numerical methods; coherent vortex simulation; direct numerical simulation; large-eddy simulation; wavelet collocation method; wavelet threshold filtering
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MDPI and ACS Style

De Stefano, G.; Vasilyev, O.V. Hierarchical Adaptive Eddy-Capturing Approach for Modeling and Simulation of Turbulent Flows. Fluids 2021, 6, 83. https://doi.org/10.3390/fluids6020083

AMA Style

De Stefano G, Vasilyev OV. Hierarchical Adaptive Eddy-Capturing Approach for Modeling and Simulation of Turbulent Flows. Fluids. 2021; 6(2):83. https://doi.org/10.3390/fluids6020083

Chicago/Turabian Style

De Stefano, Giuliano, and Oleg V. Vasilyev. 2021. "Hierarchical Adaptive Eddy-Capturing Approach for Modeling and Simulation of Turbulent Flows" Fluids 6, no. 2: 83. https://doi.org/10.3390/fluids6020083

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