On the use of biorthogonal interpolating wavelets for large-eddy simulation of turbulence

Plata, Marta de la Llave; Cant, Stewart; Prosser, Robert

doi:10.1016/j.jcp.2012.06.024

Cited by 5 publications

(4 citation statements)

References 37 publications

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“…Details of these simulations have been provided within Table 4. The time-step size used in this simulation is Δt = 2 × 10 −3 , in keeping with the convective CFL criterion presented in Equation (35). The simulation has been run over the range of time [0, 12].…”

Section: Validation Of the Dg-fem Solver: Dns Of 3d-tgv At Re=1600mentioning

confidence: 99%

“…A more recent approach involves the usage of the wavelet transform to split the discrete operators into a series of scales. The interactions between the various scales are then modeled by appropriately altering the discrete operators to get stable LESs . The usage of wavelets in conjunction with appropriate thresholds has been applied to adaptive simulations for unsteady and intermittent flows.…”

Section: Introductionmentioning

confidence: 99%

“…The interactions between the various scales are then modeled by appropriately altering the discrete operators to get stable LESs. 35 The usage of wavelets in conjunction with appropriate thresholds has been applied to adaptive simulations for unsteady and intermittent flows. Early simulations based upon the velocity-vorticity formulation were presented by Fröhlich and Schneider.…”

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confidence: 99%

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

Pinto

Plata

Lamballais

2019

Numerical Methods in Fluids

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Summary This work focuses upon the development of a wavelet‐based variant of the variational multiscale method (VMS) for accurate and efficient large eddy simulation (LES) called wavelet‐based VMS‐LES (WMS‐LES). This approach has been incorporated within the framework of a high‐order incompressible flow solver based upon the pressure‐stabilized discontinuous Galerkin finite element method (DG‐FEM). The VMS approach is designed to produce an a priori scale separation of the governing equations, in a manner which makes no assumptions on either the boundary conditions or the mesh uniformity. Using second‐generation wavelets (SGWs) elementwise for scale separation ensures, on one hand, the preservation of the computational compactness of the DG‐FEM scheme and, on the other hand, the ability to achieve scale separation in wavenumber space. The optimal space‐frequency localization property of the SGW provides an improvement over the commonly used Legendre polynomials. The suitability of the elementwise SGW scale‐separation operation as a tool for error indication has been demonstrated in an h‐adaptive computation of the reentrant corner test case. Finally, the DG‐FEM solver and the WMS‐LES method have been assessed through simulations upon the three‐dimensional Taylor‐Green vortex test case. Our results indicate that the WMS‐LES approach exhibits a distinct improvement over the monolevel LES approach. This effect is not produced by a change in the magnitude of the subgrid dissipation but rather by the redistribution of the subgrid dissipation in wavenumber space.

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Section: Validation Of the Dg-fem Solver: Dns Of 3d-tgv At Re=1600mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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

Pinto

Plata

Lamballais

2019

Numerical Methods in Fluids

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“…Among the techniques of turbulence analysis, wavelet transform has been proven feasible and power to detect and extract the coherent structures in turbulence [6][7][8][9]. Early works are based on continuous wavelet transform (CWT).…”

Section: Introductionmentioning

confidence: 99%

Extracting Coherent Structures in Near-Wall Turbulence Based on Wavelet Analysis

Hai-Bao¹,

Huang²

2020

Advances in Complex Analysis and Applications

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To analyze the properties of the coherent structures in near-wall turbulence, an extraction method based on wavelet transform (WT) and a verification procedure based on correlation analysis are proposed in this work. The flow field of the turbulent boundary layer is measured using the hot-film anemometer in a gravitational low-speed water tunnel. The obtained velocity profile and turbulence intensity are validated with traditional boundary layer theory. The fluctuating velocities at three testing positions are analyzed. Using the power spectrum density (PSD) and WT, coherent and incoherent parts of the near-wall turbulence are extracted and analyzed. The probability density functions (PDFs) of the extracted signals indicate that the incoherent structures of turbulence obey the Gaussian distribution, while the coherent structures deviate from it. The PDFs of coherent structures and original turbulence signals are similar, which means that coherent structures make the most contributions to the turbulence entrainment. A correlation parameter is defined at last to prove the validity of our extraction procedure.

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Scale properties of turbulent transport and coherent structure in stably stratified flows

Zhu

Liu

Luo

et al. 2016

Appl. Math. Mech.-Engl. Ed.

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On the use of biorthogonal interpolating wavelets for large-eddy simulation of turbulence

Cited by 5 publications

References 37 publications

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

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

Extracting Coherent Structures in Near-Wall Turbulence Based on Wavelet Analysis

Scale properties of turbulent transport and coherent structure in stably stratified flows

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