Developments in turbulence modelling with Reynolds-averaged Navier-Stokes equations
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Doctoral thesis (article-based)
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Author
Date
2001-04-27
Major/Subject
Mcode
Degree programme
Language
en
Pages
65, [105]
Series
Acta polytechnica Scandinavica. Me, 149
Abstract
The performance of different low-Reynolds number turbulence models applied to various flows is described. The emphasis is put on Chien's k – ε model, an explicit algebraic Reynolds-stress model by Speziale et al., and a full Reynolds-stress closure. The Reynolds-stress closure of this work has been developed by the author by combining different existing models. Accurate numerical methods are developed to couple the momentum equations and the low-Reynolds number Reynolds-stress equations. Two methods are introduced and these vary depending on how much the source terms are taken into account implicitly. The production of turbulence can be used to couple the inviscid part of the momentum equations and the Reynolds-stress equations in the approximate Riemann solution. As demanding problems are computed, it has been essential to parallelize the computer code. This has been performed via a message passing package. The code shows an excellent parallel performance even in the most complex topologies simulated. In this thesis, validations are presented for ten different fluid dynamic problems. The test cases vary from a simple channel flow to complicated flows in rotating machinery. In the validations it is found that the Reynolds-stress closure generally performs better than the two-equation models in complex flows. Especially streamline curvature is better captured by the Reynolds-stress closure. For the skin friction, the present Reynolds-stress closure does not give satisfactory results, and thus, some further development is needed. For simpler situations the two-equation models give comparable or even better results than the more complex models.Description
Keywords
turbulence modelling, Reynolds-stress model, finite volume method, parallel computing
Other note
Parts
- P. Rautaheimo, T. Siikonen and A. Hellsten, Diagonalization of the Reynolds-Averaged Navier-Stokes Equations with the Reynolds-Stress Turbulence Model, IMACS-COST Conference on Computational Fluid Dynamics, Lausanne, Switzerland, September 13-15, 1995. [article1.pdf] © 1995 by authors.
- P. Rautaheimo and T. Siikonen, Implementation of the Reynolds-stress Turbulence Model, 3rd ECCOMAS Computational Fluid Dynamics Conference, Paris, France, September 9-13, 1996. [article2.pdf] © 1996 by authors.
- P. Rautaheimo, E. Salminen and T. Siikonen, Parallelization of a Multi-Block Navier-Stokes Solver, 3rd ECCOMAS Computational Fluid Dynamics Conference, Paris, France, September 9-13, 1996. [article3.pdf] © 1996 by authors.
- P. Rautaheimo and T. Siikonen, Simulation of a Flow in a Return Channel with a Deswirl Cascade Using Advanced Turbulence Modelling, 4th ECCOMAS Computational Fluid Dynamics Conference, Athens, Greece, September 7-11, 1998. [article4.pdf] © 1998 by authors.
- P. Rautaheimo, E. Salminen and T. Siikonen, Numerical Simulation of the flow in the NASA Low-Speed Centrifugal Compressor, submitted to ASME Journal of Turbomachinery. [article5.pdf] © 2001 by authors.
- P. Rautaheimo, E. Salminen, T. Siikonen and J. Hyvärinen, Turbulent Mixing Between VVER440 Fuel Bundle Subchannels: A CFD Study, Proceedings of the 9th International Topical Meeting on Nuclear Reactor Thermal Hydraulics, San Francisco, California, October 3-8, 1999. [article6.pdf] © 1999 by authors.
- P. Rautaheimo and T. Siikonen, Improved Solid-Wall Boundary Treatment in Low-Reynolds Number Turbulence Models, accepted for publication in AIAA Journal.
