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

Stefano, Giuliano De; Brown-Dymkoski, Eric; Vasilyev, Oleg V.

doi:10.1017/jfm.2020.536

Cited by 26 publications

(24 citation statements)

References 44 publications

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“…The present article is focused on the hierarchical adaptive approach for modeling and simulation of incompressible turbulent flows. The WA-LES methodology was recently extended to compressible flows [11], as is discussed in the accompanying article in this issue. The incompressible WA-LES-governing equations are formally obtained by applying the WTF operator (2) to the Navier-Stokes equations, together with the divergence free projection.…”

Section: Filtered Governing Equationsmentioning

confidence: 99%

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

Stefano

Vasilyev

2021

Fluids

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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.

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Section: Filtered Governing Equationsmentioning

confidence: 99%

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

Stefano

Vasilyev

2021

Fluids

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“…Adaptive wavelet methods for PDEs have been successfully developed and vali-129 dated for a wide range of engineering flows [35]. Some examples include incompressible 130 turbulence [36], magneto-hydrodynamics [37], fluid-structure interaction [38][39][40][41] and 131 supersonic flows [42]. In most cases the discretization locates all variables at the same 132 grid points, discretization errors are controlled to a finite tolerance and the total sim-133 ulation times are relatively short.…”

Section: Necessary Properties Of Atmosphere and Ocean Models 128mentioning

confidence: 99%

Adaptive Wavelet Methods for Earth Systems Modelling

Kevlahan¹

2021

Preprint

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This paper reviews how dynamically adaptive wavelet methods can be designed to simulate atmosphere and ocean dynamics in both flat and spherical geometries. We highlight the special features that these models must have in order to be valid for climate modelling applications. These include exact mass conservation and various mimetic properties that ensure the solutions remain physically realistic, even in the under-resolved conditions typical of climate models. Particular attention is paid to the implementation of complex topography in adaptive models. Using \textsc{wavetrisk} as an example, we explain in detail how to build a semi-realistic global atmosphere or ocean model of interest to the geophysical community. We end with a discussion of the challenges that remain to developing a realistic dynamically adaptive atmosphere or ocean climate models. These include scale-aware subgrid scale parameterizations of physical processes, such as clouds. Although we focus on adaptive wavelet methods, many of the topics we discuss are relevant for adaptive mesh refinement (AMR).

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“…Specifically, for the results reported in Refs. [12][13][14][15][16][17], the reduction of grid points number results in being above 90% for most of three-dimensional (3D) cases, compared to the full mesh at the highest level of resolution.…”

Section: Introductionmentioning

confidence: 99%

“…As far as the simulation of wall-bounded high Reynolds-number flows is concerned, the reliable and computationally efficient prediction of the effects of near-wall turbulence still represents the major challenge for the turbulence modeling community. Recently, a number of wall-modeled and wall-resolved wavelet-based adaptive approaches have been developed [14,16,31,32]. Several attempts for the application of the wavelet-based methods have been carried out for both wall-modeled and wall-resolved simulations.…”

Section: Introductionmentioning

confidence: 99%

“…In the latter case, the wall region is fully resolved by the wavelet-based adaptive computational mesh and no wall model is needed. Thus, the wall-resolved WA-LES [14] can be directly applied. However, even with wavelet-based grid adaptation, the computational cost of wall-resolved simulations at high Reynolds numbers is prohibitively high.…”

Section: Introductionmentioning

confidence: 99%

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

Stefano

Hussaini

et al. 2021

Fluids

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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.

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

Abstract: Abstract

Cited by 26 publications

References 44 publications

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

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

Adaptive Wavelet Methods for Earth Systems Modelling

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

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