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Numerical modeling of environmental flows using DAM: Some preliminary results

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Development of closures and parameterizations for subgrid scale effects is a significant and longstanding problem in the numerical simulation of environmental flows. The model described herein uses a rigorous approach for developing double-averaged governing equations — first a traditional Reynolds averaging to derive the Reynolds averaged Navier-Stokes equation (RANS), then a volume average to derive a set of double-averaged equations (DANS). An existing finite element flow model is then modified to accommodate these equations. This process gives rise to several new terms that require closures, as well as a new equation for free surface elevation. This paper is directed toward model development and uses several existing closure schemes as test cases.
Słowa kluczowe
Czasopismo
Rocznik
Strony
918--934
Opis fizyczny
bibliogr. 21 poz.
Twórcy
autor
  • National Institute for Water and Atmospheric Research, Christchurch, New Zealand, rawalters@shaw.ca
Bibliografia
  • Burchard, H. (2002), Applied turbulence modelling in marine waters, Lecture Notes in Earth Sciences 100, Springer, Berlin, 229 pp.
  • Casulli, V., and R.A. Walters (2000), An unstructured grid, three-dimensional model based on the shallow water equations, Int. J. Numer. Meth. Fluids 32, 331-348.
  • López, F., and M.H. Garcia (2001), Mean flow and turbulence structure of openchannel flow through non-emergent vegetation, J. Hydraul. Eng. 127, 5, 392-402.
  • Nikora, V., D. Goring, I. McEwan, and G. Griffiths (2001), Spatially-averaged open-channel flow over a rough bed, J. Hydraul. Eng. 127, 2, 123-133.
  • Nikora, V., D. Goring, and B. Biggs (2002), Some observations of the effects of micro-organisms growing on the bed of an open channel on the turbulence properties, J. Fluid Mechanics 450, 317-341.
  • Nikora, V., K. Koll, I. McEwan, S. McLean, and A. Dittrich (2004), Velocity distribution in the roughness layer of rough-bed flows, J. Hydraul. Eng. 130, 10, 123-133.
  • Nikora, V., S. McLean, S. Coleman, D. Pokrajac, and R.A. Walters (2007a), Double-averaging concept for rough-bed open-channel and overland flows: Theoretical background, J. Hydraul. Eng. 133, 8, 873-883.
  • Nikora, V., S. McLean, S. Coleman, D. Pokrajac, I. McEwan, L. Campbell, J. Aberle, D. Clunie, and K. Koll (2007b), Double-averaging concept for rough-bed open-channel and overland flows: Applications, J. Hydraul. Eng. 133, 8, 884-895.
  • Pasche, E., and G. Rouve (1985), Overbank flow with vegetatively roughened flood plains, J. Hydraul. Eng. 111, 1262-1278.
  • Phillips, O.M. (1969), The Dynamics of the Upper Ocean. Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, London, 261 pp.
  • Pinder, G.F., and W.G. Gray (1977), Finite Elements Simulation in Surface and Subsurface Hydrology, Academic Press, New York, 295 pp.
  • Plew, D.R., R.H. Spigel, C.L. Stevens, R.I. Nokes, and M.J. Davidson (2006), Stratified flow interactions with a suspended canopy, Environ. Fluid Mech. 6, 519-539.
  • Raupach, M.R., and R.H. Shaw (1982), Averaging procedures for flow within vegetation canopies, Bound.-Layer Meteor. 22, 79-90.
  • Raviart, P.A., and J.M. Thomas (1977), A mixed finite element method for 2nd order elliptic problems. Mathematical aspects of the finite element method, Lecture Notes in Math., Springer-Verlag, Berlin.
  • Staniforth, A., and J. Côté (1991), Semi-Lagrangian integration schemes for atmospheric models - A review, Monthly Weath. Rev. 119, 2206-2223.
  • Stone, B.M., and H.T. Shen (2002), Hydraulic resistance of flow in channels with cylindrical roughness, J. Hydraul. Eng. 128, 5, 500-506.
  • Walters, R.A. (2005), A semi-implicit finite element model for non-hydrostatic (dispersive) surface waves, Int. J. Numer. Meth. Fluids 49, 721-737.
  • Walters, R.A. (2006), Design considerations for a Finite Element coastal ocean model, Ocean Modelling 15, 90-100.
  • Walters, R.A., and V. Casulli (1998), A robust, finite element model for hydrostatic surface water flows, Comm. Numer. Meth. Eng. 14, 931-940.
  • Walters, R.A., E.M. Lane, and R.F. Henry (2007), Semi-Lagrangian Methods for a Finite Element Coastal Ocean Model, Ocean Modelling 19, 112-124.
  • Wu, W., F.F. Shields Jr., S.J. Bennett, and S.S.Y. Wang (2005), A depth-averaged two-dimensional model for flow, sediment transport, and bed topography in curved channels with riparian vegetation, Water Resour. Res. 41, W03015.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL7-0027-0020
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