A stable algorithm for Reynolds stress turbulence modelling with applications to rectilinear and circular tidal flows
✍ Scribed by S. G. Sajjadi; M. N. Waywell
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 321 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
This paper employs one-point, linear eddy viscosity and differential second-moment (DSM) turbulence closures to predict the turbulent characteristics of both rectilinear and circular tidal ¯ows. The numerical scheme is based on a ®nite volume approach applied to a non-staggered grid such that all ¯ow variables are stored at one and the same set of nodes. Numerical stability is maintained through the implementation of apparent viscosities and source term linearization, which are essential if eddy viscosity terms are absent. A stable algorithm is devised for the Reynolds stresses which includes a non-linear velocity smoothing in order to stabilise the numerical scheme during ¯ow reversal and relaminarization. Favourable agreement with the experimental rectilinear tidal data of Schro Èder (Tech. Rep. GK55 87/Ea16, GKSS-Forshungszentrum Geesthacht, 1983) and McClean (Turbulence and Sediment Transport Measurements in a North Sea Tidal Inlet (the Jade), Springer, New York, 1987, p. 436) is reported. Numerical calculations of circular tidal ¯ows are also presented which were motivated by the preliminary investigations of Davies and Jones (Int. j. numer. meth.