Summary
A Galerkin/least-squares finite element method is applied to the Reynolds-averaged Navier-Stokes (RANS) equations. The turbulence model utilizes an eddy viscosity calculated from a velocity scale and a length scale. The velocity scale, q, is evolved via an additional transport equation which is appended to the RANS equations and solved together as a complete system. The length scale, l, is given by algebraic relations involving flow quantities and distance to the wall. The model is shown to give good results on a variety of problems over a broad range of resolution.
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References
Bradshaw, P., Launder B.E., and Lumley, J.L., 1991, “Collaborative testing of turbulence models”, AIAA paper 91-0215.
Jansen, K., Johan, Z., and Hughes, T.J.R., 1993, “Implementation of a one-equation turbulence model within a stabilized finite element formulation of a symmetric advective-diffusive system”, Computer Methods in Applied Mechanics and Engineering, 105, pp. 405–433.
Norris, L.H., and Reynolds, W.C., 1975, “Channel flow with a moving wavy boundary,” Report FM-10, Stanford University, Department of Mechanical Engineering, Stanford.
Samuel, A.E., and Joubert, P.N., 1975, “A boundary layer developing in an increasingly adverse pressure gradient”, Journal of Fluid Mechanics, 6, p. 481.
White, F., 1974, Viscous fluid flow. McGraw Hill, New York.
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© 1998 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Hughes, T.J.R., Jansen, K., Hauke, G. (1998). Applications of the Finite Element Method to the Reynolds-Averaged Navier-Stokes Equations. In: Dervieux, A., Braza, M., Dussauge, JP. (eds) Computation and Comparison of Efficient Turbulence Models for Aeronautics — European Research Project ETMA. Notes on Numerical Fluid Mechanics (NNFM), vol 5. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-89859-3_24
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DOI: https://doi.org/10.1007/978-3-322-89859-3_24
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-322-89861-6
Online ISBN: 978-3-322-89859-3
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