A high resolution differential filter for large eddy simulation: Toward explicit filtering on unstructured grids

Najafi­-Yazdi, Alireza; Najafiyazdi, Mostafa; Mongeau, Luc

doi:10.1016/j.jcp.2015.03.034

Cited by 17 publications

(8 citation statements)

References 27 publications

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“…Motivations for using an explicit filtering in LES and various numerical issues can be found in reviews [17,19,25], but the filtering procedure is almost exclusively developed for structured meshes. Nevertheless, Najafi-Yazdi et al [26] have recently proposed the implementation of compact discrete filters on unstructured two-dimensional grids. In order not to affect too much the efficiency of the finite element algorithm, the filtering is here achieved by considering embedded piecewise polynomials.…”

Section: Explicit Filtering Within Finite Element Methodsmentioning

confidence: 99%

High-Order Variational Multiscale Model in Finite Elements Applied to the LEISA-2 Configuration

Yser

Bailly

2018

AIAA Journal

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A variational multiscale sugbrid model including an explicit filtering is studied in the framework of an equal-order finite element formulation for solving compressible Navier-Stokes equations in entropy variables. The filtering is here achieved by considering embedded piecewise polynomials, whose implementation is made easier with the use of isoparametric and symmetric elements. A hybrid formulation combining a detached-eddy simulation near the walls is also proposed to be able to tackle realistic industrial configurations. The numerical developments are assessed with the Taylor-Green vortex, by comparison with a reference result provided by direct numerical simulation. Finally, new findings are reported with the direct noise computation of the LEISA-2 configuration, a three-element high-lift airfoil as part of the benchmark for airframe noise computation.

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Section: Explicit Filtering Within Finite Element Methodsmentioning

confidence: 99%

High-Order Variational Multiscale Model in Finite Elements Applied to the LEISA-2 Configuration

Yser

Bailly

2018

AIAA Journal

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“…In this approach, an additional low-pass spatial filter is used to estimate the effect of unresolved scales. The selection of relaxation filter also affects the solution field for explicit filtering approach and there are a significant number of literature available on the formulation of suitable and efficient LES filters [61][62][63]. In this work, we use the sixth-order symmetric central scheme with a 7-point stencil Simpson's filter (SF7) as a relaxation filter for RTI test case.…”

Section: Introductionmentioning

confidence: 99%

A Relaxation Filtering Approach for Two-Dimensional Rayleigh–Taylor Instability-Induced Flows

Rahman

San

2019

Fluids

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“…Although the filter design process is well established in digital image processing (Oppenheim, Schafer, and Buck 1989;Jahne 1997), there is a limited number of studies that focuses on filter design in LES (e.g., see San (2016) and references therein). Examples include the differential filters (Germano 1986b,a;Najafi-Yazdi, Najafi-Yazdi, and Mongeau 2015), Padé (compact) filters (Lele 1992;Visbal and Gaitonde 2002), discrete selective filters Bailly 2004, 2006b,a;Berland et al 2011). It has been shown that the filters with complete attenuation for the smallest scales yield significantly better results to prevent energy accumulation at the grid cut-off.…”

Section: Introductionmentioning

confidence: 99%

Explicit and implicit LES closures for Burgers turbulence

Maulik

San²

2018

Journal of Computational and Applied Mathematics

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In this work, we perform an aposteriori error analysis on implicit and explicit large eddy simulation closure models for solving the Burgers turbulence problem. Our closure modeling efforts include both functional and structural models equipped with various low-pass filters. We introduce discrete binomial smoothing filters and an enhanced version of the Van Cittert algorithm to accelerate the convergence of approximate deconvolution processes including regularization and relaxation filtering approaches. Our implicit modeling efforts consist of various high-order schemes including compact and non-compact fifthorder upwind schemes as well as weighted essential non-oscillatory (WENO) and compact reconstructed WENO (CRWENO) schemes, and the resulting schemes are shown to effectively converge to the direct numerical simulation (DNS) for increasing resolutions. Comparing with DNS and underresolved DNS computations, our numerical assessments illustrate the ability of these methods to capture the energy content near grid cut-off scale.

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A high resolution differential filter for large eddy simulation: Toward explicit filtering on unstructured grids

Cited by 17 publications

References 27 publications

High-Order Variational Multiscale Model in Finite Elements Applied to the LEISA-2 Configuration

High-Order Variational Multiscale Model in Finite Elements Applied to the LEISA-2 Configuration

A Relaxation Filtering Approach for Two-Dimensional Rayleigh–Taylor Instability-Induced Flows

Explicit and implicit LES closures for Burgers turbulence

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