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Review

Wavelet-Based Adaptive Eddy-Resolving Methods for Modeling and Simulation of Complex Wall-Bounded Compressible Turbulent Flows

1
Convergent Science Inc., Madison, WI 53705, USA
2
Engineering Department, University of Campania Luigi Vanvitelli, 81031 Aversa, Italy
3
Department of Mathematics, Florida State University, Tallahassee, FL 32306, USA
4
Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, 125047 Moscow, Russia
5
Adaptive Wavelet Technologies LLC, Superior, CO 80027, USA
*
Author to whom correspondence should be addressed.
This author performed the presented work at Florida State University.
Academic Editor: Laura A. Miller
Fluids 2021, 6(9), 331; https://doi.org/10.3390/fluids6090331
Received: 29 July 2021 / Revised: 6 September 2021 / Accepted: 10 September 2021 / Published: 15 September 2021
(This article belongs to the Special Issue Wavelets and Fluid Dynamics)
This article represents the second part of a review by De Stefano and Vasilyev (2021) on wavelet-based adaptive methods for modeling and simulation of turbulent flows. Unlike the hierarchical adaptive eddy-capturing approach, described in the first part and devoted to high-fidelity modeling of incompressible flows, this companion paper focuses on the adaptive eddy-resolving framework for compressible flows in complex geometries, which also includes model-form adaptation from low to high fidelity models. A hierarchy of wavelet-based eddy-resolving methods of different fidelity has been developed for different speed regimes, various boundary conditions, and Reynolds numbers. Solutions of various fidelity are achieved using a range of modeling approaches from unsteady Reynolds-averaged Navier–Stokes simulation to delayed detached eddy simulation, wall-modeled and wall-resolved large eddy simulations. These novel methodologies open the door to construct a hierarchical approach for simulation of compressible flows covering the whole range of possibilities, from only resolving the average or dominant frequency, to capturing the intermittency of turbulence eddies, and to directly simulating the full turbulence spectrum. The generalized hierarchical wavelet-based adaptive eddy-resolving approach, once fully integrated into a single inherently interconnected simulation, results in being a very competitive and predictive tool for complicated flows in industrial design and analysis with high efficiency and accuracy. View Full-Text
Keywords: compressible flow; turbulence modeling; adaptive wavelet collocation; Reynolds-averaged Navier–Stokes; delayed detached eddy simulation; large eddy simulation; wall modeling compressible flow; turbulence modeling; adaptive wavelet collocation; Reynolds-averaged Navier–Stokes; delayed detached eddy simulation; large eddy simulation; wall modeling
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MDPI and ACS Style

Ge, X.; De Stefano, G.; Hussaini, M.Y.; Vasilyev, O.V. Wavelet-Based Adaptive Eddy-Resolving Methods for Modeling and Simulation of Complex Wall-Bounded Compressible Turbulent Flows. Fluids 2021, 6, 331. https://doi.org/10.3390/fluids6090331

AMA Style

Ge X, De Stefano G, Hussaini MY, Vasilyev OV. Wavelet-Based Adaptive Eddy-Resolving Methods for Modeling and Simulation of Complex Wall-Bounded Compressible Turbulent Flows. Fluids. 2021; 6(9):331. https://doi.org/10.3390/fluids6090331

Chicago/Turabian Style

Ge, Xuan, Giuliano De Stefano, M. Yousuff Hussaini, and Oleg V. Vasilyev. 2021. "Wavelet-Based Adaptive Eddy-Resolving Methods for Modeling and Simulation of Complex Wall-Bounded Compressible Turbulent Flows" Fluids 6, no. 9: 331. https://doi.org/10.3390/fluids6090331

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