Wall-function boundary conditions in the solution of the Navier-Stokes equations for complex compressible flows

Viegas, J. R.; Rubesin, M. W.

doi:10.2514/6.1983-1694

Cited by 34 publications

(16 citation statements)

References 10 publications

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“…Concerning transport-equation turbulence models, k was set to 0 at the wall and its production was imposed according to the formulation proposed by Viegas and Rubesin [38,39]. The second variable was deduced from an analytical relation and was imposed in adjacent cells to a wall.…”

Section: Wall Law Approachmentioning

confidence: 99%

Turbulence model and numerical scheme assessment for buffet computations

Goncalves

Houdeville

2004

Numerical Methods in Fluids

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International audienceThe prediction of shock-induced oscillations over transonic rigid airfoils is important for a better understanding of the buffeting phenomenon. The unsteady resolution of the Navier-Stokes equations is performed with various transport-equation turbulence models in which corrections are added for nonequilibrium flows. The lack of numerical efficiency due to the CFL stability condition is circumvented by the use of a wall law approach and a dual time stepping method. Moreover, various numerical schemes are used to try and be independent of the numerical discretization. Comparisons are made with the experimental results obtained for the supercritical RA16SC1 airfoil. They show the interest in using the SST correction or realizability conditions to get correct predictions of the frequency, amplitude and pressure fluctuations over the airfoil

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Section: Wall Law Approachmentioning

confidence: 99%

Turbulence model and numerical scheme assessment for buffet computations

Goncalves

Houdeville

2004

Numerical Methods in Fluids

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“…To model the near wall region, where high pressure gradients occurred, the turbulence models based on the ε-equation typically use the "Wall-Function Method" (Launder & Spalding, 1974;Viegas & Rubesin, 1983;Viegas, Rubesin, & Horstman, 1985). This approach uses empirical laws to circumvent the inability to predict a logarithmic velocity profile near the boundary walls.…”

Section: Experimental Testsmentioning

confidence: 99%

Numerical and experimental investigation of a cross-flow water turbine

Sammartano

Morreale²,

Sinagra³

et al. 2016

Journal of Hydraulic Research

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Numerical and experimental investigation of a cross-flow water turbine ABSTRACT A numerical and experimental study was carried out for validation of a previously proposed design criterion for a cross-flow turbine and a new semi-empirical formula linking inlet velocity to inletpressure. An experimental test stand was designed to conduct a series of experiments and to measure the efficiency of the turbine designed based on the proposed criterion. The experimental efficiency was compared to that from numerical simulations performed using a RANS model with a shear stress transport (SST) turbulence closure. The proposed semi-empirical velocity formula was also validated against the numerical solutions for cross-flow turbines with different geometries and boundary conditions. The results confirmed the previous hydrodynamic analysis and thus can be employed in the design of the cross-flow turbines as well as for reducing the number of simulations needed to optimize the turbine geometry.

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“…As concerns the transport equations of the turbulence models, k is set to 0 at the wall and its production is imposed according to the formulation proposed by Viegas and Rubesin (1983) and Viegas et al (1985) where the thickness of the viscous sublayer y þ n is assumed constant…”

Section: Turbulence Models and Wall Law Approachmentioning

confidence: 99%

Numerical simulations of a transport-aircraft configuration

Goncalves

Houdeville²

2009

International Journal of Computational Fluid Dynamics

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International audienceAn implicit low-cost Navier-Stokes solver combined with a multigrid algorithm and wall functions has been developed for efficient numerical simulations on a realistic wing-body aircraft configuration. A study of the behavior of different transport-equation turbulence models is given. Comparisons are made with experimental data. The structure of the three-dimensional flow separation predicted by computations is described and its topological coherence is checked

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Wall-function boundary conditions in the solution of the Navier-Stokes equations for complex compressible flows

Cited by 34 publications

References 10 publications

Turbulence model and numerical scheme assessment for buffet computations

Turbulence model and numerical scheme assessment for buffet computations

Numerical and experimental investigation of a cross-flow water turbine

Numerical simulations of a transport-aircraft configuration

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