Turbulent Boundary Layer in Compressible Fluids

Driest, E. R. Van

doi:10.2514/1.10862

Cited by 56 publications

(95 citation statements)

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“…Notwithstanding the hardly noticeable effect, for consistency with the compressible nature of the computations, average profiles of velocity are Van Driest corrected, and Reynolds stresses are represented in semi‐local coordinates (cf. for details). It is worth recalling that, according to Foysi et al , differences in profiles between compressible and incompressible computations are principally due to the decrease of the mean density and increase of the mean viscosity from wall values.…”

Section: Resultsmentioning

confidence: 99%

Discrete filter operators for large‐eddy simulation using high‐order spectral difference methods

Lodato¹,

Castonguay

Jameson

2012

Numerical Methods in Fluids

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SUMMARYThe combination of a high‐order unstructured spectral difference (SD) spatial discretization scheme with sub‐grid scale (SGS) modeling for large‐eddy simulation is investigated with particular focus on the consistent implementation of a structural mixed model based on the scale similarity hypothesis. The difficult task of deriving a consistent formulation for the discrete filter within the SD element of arbitrary order led to the development of a new class of three‐dimensional constrained discrete filters. The discrete filters satisfy a set of selected criteria and are completely local within the SD element. Their weights can be automatically computed at run time from the number of solution points within each element and the expected filter cutoff length scale. The novel discrete filters can be applied to any SGS model involving explicit filtering and to a broad class of high‐order discontinuous finite element numerical schemes. The code is applied to the computation of turbulent channel flows at three Reynolds numbers, namely Reτ = 180, 395, and 590 (based on the friction velocity uτ and channel half‐width δ). Results from computations with and without the SGS model are compared against results from direct numerical simulation. The numerical experiments suggest that the results are sensitive to the use of the SGS model, even when a high‐order numerical scheme is used, especially when the grid resolution is kept relatively low and mostly in terms of resolved Reynolds stresses. Results obtained using existing filters based on the projection of the solution over lower‐order polynomial bases are also shown and demonstrate that these filters are inadequate for SGS modeling purposes, mostly because of their inability to enforce the selected cutoff length scale with sufficient accuracy. The use of the similarity mixed formulation proved to be particularly accurate in reproducing SGS interactions, confirming that its well‐known potential can be realized in conjunction with state‐of‐the‐art high‐order numerical schemes.Copyright © 2012 John Wiley & Sons, Ltd.

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Section: Resultsmentioning

confidence: 99%

Discrete filter operators for large‐eddy simulation using high‐order spectral difference methods

Lodato¹,

Castonguay

Jameson

2012

Numerical Methods in Fluids

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“…The solid curve in Fig. 6.30 is a prediction by Van Driest [111], which is within 10% of available experimental data and which can be considered a standard for comparison. Note that all of the models give essentially the same results.…”

Section: Hypersonic Turbulent Boundary Layermentioning

confidence: 98%

Hypersonic and High-Temperature Gas Dynamics, Second Edition

Anderson¹

2006

961

603

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Data and information appearing in this book are for information purposes only. AIAA is not responsible for any injury or damage resulting from use or reliance, nor does AIAA warrant that use or reliance will be free from privately owned rights. Downloaded by Stanford University on September 30, 2012 | http://arc.aiaa.org | , for all their love and understanding Downloaded by Stanford University on September 30, 2012 | http://arc.aiaa.org |

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“…However, van Driest (1951van Driest ( , 1956 and Walz (1966) considered approximate solutions for the case where the mixed Prandtl number is close to one, and this is the case for air where P = 0.72 and for most turbulent shear flows where 0.6 < P t < 1. However, van Driest (1951van Driest ( , 1956 and Walz (1966) considered approximate solutions for the case where the mixed Prandtl number is close to one, and this is the case for air where P = 0.72 and for most turbulent shear flows where 0.6 < P t < 1.…”

Section: Analytical Results For P M =mentioning

confidence: 99%

“…What about the mean velocity distribution? A widely used transformation was developed by van Driest (1951) who was able to integrate the mean energy equation under a set of reasonably restrictive assumptions and use the resulting temperature-velocity relationship to define a transformed velocity that takes account of the fluid property variations across the layer. This is an important consideration, especially in the region near the wall where simple power laws are no longer useful.…”

Section: Flat Plate Turbulent Boundary Layersmentioning

confidence: 99%

Turbulent Shear Layers in Supersonic Flow

Smits¹,

Dussauge

2006

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Turbulent Boundary Layer in Compressible Fluids

Cited by 56 publications

References 0 publications

Discrete filter operators for large‐eddy simulation using high‐order spectral difference methods

Discrete filter operators for large‐eddy simulation using high‐order spectral difference methods

Hypersonic and High-Temperature Gas Dynamics, Second Edition

Turbulent Shear Layers in Supersonic Flow

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