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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 印刷: 2152-5102
ISSN オンライン: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v37.i1.40
pages 42-69

Hydrodynamic Channel Flow Modeling Using Combined Large Eddy Simulation and Wall Functions

Mehdi Adjami
TMU (Tarbiat Modares University), Iran
Mehdi Shafieefar
Tarbiat Modares University, Tehran, Iran
Ali Akbar Salehi Neyshabouri
Tarbiat Modares University, Tehran, Iran

要約

Turbulent wall-bounded flows are commonly encountered in engineering practice and are of considerable interests in a variety of industrial applications. This presence of wall significantly affects turbulence characteristics. If we want to solve the near-wall region a very fine mesh is necessary. The number of points needed increases at least like Re1.8. This requirement makes the application of Large Eddy Simulation (LES) for high Reynolds (order of 106−108) practically impossible. One solution is to apply near-wall modification, or wall models with a coarse mesh near the wall. When the grid is not fine enough to resolve near-wall structure, the near-wall must be modeled by specifying a correlation between the velocity in first node and shear stress at the wall. The objective of this study is to implement wall-function for LES simulation of channel flow. The sub-grid scales are modeled using Smagorinsky and Wale model. The first node is placed at y+ ∼ 49 for Reτ = 4000 and 54 ≤ y+ ≤ 200 for Reτ = 16000. So the first node was located in log-law region and standard wall function was applied. Other modification was introduced in the calculation of the length-scale in the Smagorinsky model using the model proposed by Mason-Callen [7]. Another model introduced was the Werner-Wengler model [6].

参考

  1. Bredberg, J., On the Wall Boundary Condition for Turbulence Models.

  2. Tannehill, J. C., Anderson, R. H., and Pletcher D. A., Computational Fluid Mechanics and Heat Transfer.

  3. Davidson, L., Peng, S. H., Hybrid LES-RANS Modelling: A One-Equation SGS Model Combined with k-ω Model for Predicting Recirculating Flows.

  4. Lane, S., Bradbrook, K., Richards, K., Biron, P., and Roy, A., The Application of Computational Fluid Dynamics to Natural River Channels: Three-Dimensional Versus Two-Dimensional Approaches.

  5. Tennekes, H. and Lumley, J. L., A First Course in Turbulence.

  6. Werner, H. and Wengle, H., Large-Eddy Simulation of Turbulent Flow Over and Around a Cube in a Plate Channel.

  7. Mason, P. J. and Callen, N. S., On the Magnitude of the Subgrid-Scale Eddy Coefficient in Large-Eddy Simulations of Turbulent Channel Flow.

  8. Nicoud, F. and Ducros, F., Subgrid-Scale Stress modelling Based on the Square of the Velocity Gradient Tensor.

  9. Piomelli, U., Introduction to the Modelling of Turbulence.

  10. Versteeg, H. K. and Malalasekera, W., An Introduction to Computational Fluid Dynamics: The Finite Volume Method.


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