Modeling and discretization errors in large eddy simulations of hydrodynamic and magnetohydrodynamic channel flows

Viré, Axelle; Krasnov, Dmitry; Boeck, Thomas; Knaepen, Bernard

doi:10.1016/j.jcp.2010.11.039

Cited by 12 publications

(3 citation statements)

References 46 publications

(62 reference statements)

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“…To study high Reynolds number flows using LES, we tested several conventional models with our in-house solver (which is based on a finite-volume scheme in a collocated variable arrangement) that has been extensively used for DNS of liquid metal flows. Consistently with Viré et al (2011), our initial results were unsatisfactory, and we identified the scheme’s numerical dissipation as a reason for this observation. We then focused on the usage of improved SGS models (Prinz et al , 2018).…”

Section: Introductionsupporting

confidence: 74%

Comparison of subgrid-scale models for large-eddy simulation of hydrodynamic and magnetohydrodynamic channel flows

Prinz

Schumacher

Boeck

2019

HFF

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Purpose This paper aims to address the performance of different subgrid-scale models (SGS) for hydro- (HD) and magnetohydrodynamic (MHD) channel flows within a collocated finite-volume scheme. Design/methodology/approach First, the SGS energy transfer is analyzed by a priori tests using fully resolved DNS data. Here, the focus lies on the influence of the magnetic field on the SGS energy transport. Second, the authors performed a series of 18 a posteriori model tests, using different grid resolutions and SGS models for HD and MHD channel flows. Findings From the a priori analysis, the authors observe a quantitative reduction of the SGS energy transport because of the action of the magnetic field depending on its orientation. The a posteriori model tests show a clear improvement because of the use of mixed-models within the numerical scheme. Originality/value This study demonstrates the necessity of improved SGS modeling strategies for magnetohydrodynamic channel flows within a collocated finite-volume scheme.

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Section: Introductionsupporting

confidence: 74%

Comparison of subgrid-scale models for large-eddy simulation of hydrodynamic and magnetohydrodynamic channel flows

Prinz

Schumacher

Boeck

2019

HFF

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“…resolutions used in DNS. Here, we cannot directly apply the summation-by-parts approach, since it involves the so-called flux variables, prescribed at the cell interface (Viré et al 2011). These flux variables are used in the algorithm to secure divergence-free condition and conservative form of the nonlinear terms, but not stored.…”

Section: Discussionmentioning

confidence: 99%

“…The direct computation of S ij S ij tends to yield underpredicted values, especially if the discretization errors are large. For example, in case of coarse grids, more pertinent to LES however, the difference between direct computation of S ij S ij and summation by parts can yield a factor of 2-2.5 in the buffer and logarithmic layer regions (Viré et al 2011). Albeit this difference scales as ∼O(h 2 ) (with h being the mesh step-size) for the 2nd-order approximations, it cannot be completely neglected, even in case of finer Appendix B.…”

Section: Author Orcidsmentioning

confidence: 99%

Convective mesoscale turbulence at very low Prandtl numbers

Pandey¹,

Krasnov

Sreenivasan

et al. 2022

J. Fluid Mech.

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Horizontally extended turbulent convection, termed mesoscale convection in natural systems, remains a challenge to investigate in both experiments and simulations. This is particularly so for very low molecular Prandtl numbers, such as occur in stellar convection and in the Earth's outer core. The present study reports three-dimensional direct numerical simulations of turbulent Rayleigh–Bénard convection in square boxes of side length $L$ and height $H$ with the aspect ratio $\varGamma =L/H$ of 25, for Prandtl numbers that span almost 4 orders of magnitude, $10^{-3}\le Pr \le 7$ , and Rayleigh numbers $10^5 \le Ra \le 10^7$ , obtained by massively parallel computations on grids of up to $5.36\times 10^{11}$ points. The low end of this $Pr$ -range cannot be accessed in controlled laboratory measurements. We report the essential properties of the flow and their trends with the Rayleigh and Prandtl numbers, in particular, the global transport of momentum and heat – the latter decomposed into convective and diffusive contributions – across the convection layer, mean vertical profiles of the temperature and temperature fluctuations and the kinetic energy and thermal dissipation rates. We also explore the degree to which the turbulence in the bulk of the convection layer resembles classical homogeneous and isotropic turbulence in terms of spectra, increment moments and dissipative anomaly, and find close similarities. Finally, we show that a characteristic scale of the order of the mesoscale seems to saturate to a wavelength of $\lambda \gtrsim 3H$ for $Pr\lesssim 0.005$ . We briefly discuss possible implications of these results for the development of subgrid-scale parameterization of turbulent convection.

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Comparative study of finite difference approaches in simulation of magnetohydrodynamic turbulence at low magnetic Reynolds number

2011

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Modeling and discretization errors in large eddy simulations of hydrodynamic and magnetohydrodynamic channel flows

Cited by 12 publications

References 46 publications

Comparison of subgrid-scale models for large-eddy simulation of hydrodynamic and magnetohydrodynamic channel flows

Comparison of subgrid-scale models for large-eddy simulation of hydrodynamic and magnetohydrodynamic channel flows

Convective mesoscale turbulence at very low Prandtl numbers

Comparative study of finite difference approaches in simulation of magnetohydrodynamic turbulence at low magnetic Reynolds number

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