Zonal Embedded Grids for Numerical Simulations of Wall-Bounded Turbulent Flows

Kravchenko, Arthur G.; Moin, P.; Moser, Robert D.

doi:10.1006/jcph.1996.0184

Cited by 170 publications

(109 citation statements)

References 12 publications

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“…Further investigation will be needed to better understand the performance of the coupled model at these higher Reynolds numbers. Overall, the coupled ODT/LES model performs remarkably well at predicting the mean velocity pro les for this ow and compares very favorably with other recent w ork in this area (e.g., Nikitin et al 2000, Kravchenko et al 1996, Piomelli 1993. Figure 33 is a semilog plot of the friction factor as a function of Reynolds number.…”

Section: Computed Results and Comparison To Dnssupporting

confidence: 55%

High-Resolution Modeling of Multiscale Transient Phenomena in Turbulent Boundary Layers

Kerstein¹,

Schmidt²,

Wunsch³

et al. 2001

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High delity n umerical simulation of wall-bounded turbulence requires physically sound representation of the small scale unsteady processes governing near-wall momentum, heat, and mass transfer. Conventional wall treatments do not capture the diverse multiphysics ow regimes relevant to engineering applications.To obtain a robust yet computationally a ordable near-wall submodel for turbulent o w computations, the ne-grained spatial structure and time evolution of the near-wall ow is simulated using a model formulated on a 1D domain corresponding to the wall-normal direction. This approach captures the strong variation of ow properties in the wall-normal direction and the transient i n teractions between this highly inhomogeneous region and the more nearly homogeneous (at ne scales) ow farther from the wall.The 1D simulation utilizes the One Dimensional Turbulence (ODT) methodology, whose formulation for the present application is described in detail. Demonstrations of ODT performance with regard to aspects of ow p h ysics relevant to near-wall ow modeling are presented.The coupling of ODT to a large eddy simulation (LES) of con ned turbulent o w i s d escribed, and the performance of the coupled formulation is demonstrated. It is concluded that this formulation has the potential to provide the delity needed for engineering applications at an a ordable computational cost.

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Section: Computed Results and Comparison To Dnssupporting

confidence: 55%

High-Resolution Modeling of Multiscale Transient Phenomena in Turbulent Boundary Layers

Kerstein¹,

Schmidt²,

Wunsch³

et al. 2001

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“…The horizontal resolution has been increased from 128 × 128 to 2048 × 2048 to evaluate the performance across different grid resolutions. Only the horizontal resolution is changed given that the vertical direction is treated in physical space with finite difference methods and does not require any dealiasing treatment because the truncation error associated with the second order centered finite difference method decreases the aliasing errors (Kravchenko et al, 1996;Canuto et al, 2006). In figure 5, the ordinate axis are divided by 5 n x ·n y to show the effect of the increase in resolution on the computational cost.…”

Section: Computational Costmentioning

confidence: 99%

Comparison of dealiasing schemes in large-eddy simulation of neutrally-stratified atmospheric boundary-layer type flows

Margairaz

Giometto

Parlange

et al. 2017

Preprint

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Abstract. Three dealiasing schemes for large-eddy simulation of turbulent flows are inter-compared for the canonical case of pressure-drive atmospheric boundary-layer type flows. Aliasing errors arise in the multiplication of partial sums, such as those encountered when integrating the non-linear terms of the Navier-Stokes equations in spectral methods (Fourier or polynomial discrete series), and are detrimental to the accuracy of the numerical solution. This is of special relevance when using highorder schemes. In this work, a performance/cost analysis is developed for three well-accepted approaches: the exact 3/2 rule, 5 the Fourier truncation method, and a high order Fourier smoothing method. Tests are performed within a newly developed mixed pseudo-spectral collocation -finite differences large-eddy simulation code, parallelized using a two-dimensional pencil decomposition. The static Smagorinsky eddy-viscosity model with wall damping of the model coefficient is used. A series of simulations are performed at varying resolution and key flow statistics are inter-compared among the considered dealiasing schemes. The numerical results validate the numerical performance predicted by theory when using the Fourier truncation and 10 Fourier smoothing methods. In terms of turbulence statistics, the Fourier Truncation method proves to be over-dissipative when compared against the Fourier Smoothing method and the traditional 3/2-rule, leading to an enhanced horizontal integrated mass flux and to higher dispersive momentum fluxes. Its use in large-eddy simulation of atmospheric boundary-layer type flows is therefore not recommended. Conversely, the Fourier Smoothing method yields accurate flow statistics, comparable to those resulting from the application of the 3/2 rule, with a significant reduction in computational cost, which makes it a convenient 15 alternative for use in the studies related to the atmospheric boundary layer.

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“…Consider for example a plane channel: the requirement to resolve the streaks results in meshes that, for Re τ > 500, are excessively fine in the channel centre, resulting in wasted resources. Embedded meshes were used by, for instance, by Kravchenko et al [26], who were able to reach values of Re τ higher by a factor of 25 than those achievable at that time using a structured grid. However, the sudden discontinuities of the grid spacing expected in locally refined meshes of the type illustrated in figure 1 have more significant consequences in LES, in which the grid is marginal and significant energy may be present at the cutoff wavenumber, than in DNS or in RANS solutions, in which the flow is smooth on the grid scale.…”

Section: (B) Complex Geometriesmentioning

confidence: 99%

Large eddy simulations in 2030 and beyond

Piomelli

2014

Phil. Trans. R. Soc. A.

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Since its introduction, in the early 1970s, large eddy simulations (LES) have advanced considerably, and their application is transitioning from the academic environment to industry. Several landmark developments can be identified over the past 40 years, such as the wall-resolved simulations of wall-bounded flows, the development of advanced models for the unresolved scales that adapt to the local flow conditions and the hybridization of LES with the solution of the Reynolds-averaged Navier–Stokes equations. Thanks to these advancements, LES is now in widespread use in the academic community and is an option available in most commercial flow-solvers. This paper will try to predict what algorithmic and modelling advancements are needed to make it even more robust and inexpensive, and which areas show the most promise.

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Zonal Embedded Grids for Numerical Simulations of Wall-Bounded Turbulent Flows

Cited by 170 publications

References 12 publications

High-Resolution Modeling of Multiscale Transient Phenomena in Turbulent Boundary Layers

High-Resolution Modeling of Multiscale Transient Phenomena in Turbulent Boundary Layers

Comparison of dealiasing schemes in large-eddy simulation of neutrally-stratified atmospheric boundary-layer type flows

Large eddy simulations in 2030 and beyond

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