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Hydrodynamics of Lakes pp 209–233Cite as

Numerical Modelling of Barotropic Circulation Processes

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 286))

Abstract

The dynamics of lakes has a hydrodynamic and a thermodynamic component. By neglection of the latter, assuming a thermally homogeneous water body, a barotropic model is obtained. It is characterized by vanishing horizontal density gradients; the surface slope alone determines the horizontal pressure gradients (H1, section 1)*). Vertical density gradients can be considered by a barotropic multi-layer model (H1, section 5).

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References

  • Abbott, M.B., 1974. Continuous flows, discontinuous flows, and numerical analysis. J. Hydr. Res. 12, 4.

    Google Scholar 

  • Backhaus, J.O., 1983. A semi-implicit primitive equation model for shelf seas, outline and practical aspects of the scheme. Cont. Shelf Res., special issue on JONSMOD 82.

    Google Scholar 

  • Backhaus, J.O., 1983. A semi-implicit scheme for the shallow water equations for application to shelf sea modelling. In press.

    Google Scholar 

  • Boris, J.P. and D.L. Book, 1973. Flux corrected transport. I. Shasta. A fluid transport algorithm that works. J. Comp. Phys. 10.

    Google Scholar 

  • Bork, I. and E. Maier-Reimer, 1978. On the spreading of power plant cooling water in a tidal river applied to the river Elbe. Adv. Wat. Res. 1.

    Google Scholar 

  • Bowden, K.F., 1963. The mixing processes in a tidal estuary. J. Air Wat. Poll. 7.

    Google Scholar 

  • Bugliarello, G. and E.D. Jackson, 1964. Random walk study of convective diffusion. ASCE J. Eng. Mech. Div. 94.

    Google Scholar 

  • Crank, J. and P. Nicholson, 1947. A practical method for numerical integration of solutions of partial differential equations of heat conduction type. Proc. Cambr. Phil. Soc. 43, 50.

    Google Scholar 

  • Duwe, K., 1982. Brackwasserzone eines Tideflusses. Unpublished internal report, Institut für Meereskunde, Univ. Hamburg.

    Google Scholar 

  • Duwe, K. and R. Hewer, 1982. Ein semi-implizites Gezeitenmodell für Wattengebiete. Dt. Hydr. Zeitschr. 35.

    Google Scholar 

  • Duwe, K., R. Hewer and J.O. Backhaus, 1983. Results of a semi-implicit two-step method for the simulation of markedly nonlinear flow. Cont. Shelf Res., special issue on JONSMOD ‘82.

    Google Scholar 

  • Egan, B.A. and J.R. Mahoney, 1972. Numerical modelling of advection and diffusion of urban area source pollutants. J. Appl. Met. 11.

    Google Scholar 

  • Einstein, A., 1905. Ueber die von der molekular-kinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen. Ann. Phys. 4.

    Google Scholar 

  • Gorenflo,.R., 1968. Differenzenschemata vom Irrfahrttypus für die Differentialgleichung von Fokker-Planck-Kolmogorov. Zeitschr. ang. Math. Mech. 69.

    Google Scholar 

  • Grotjahn, R. and J.J. O’Brien, 1976. Some inaccuracies in finite differencing hyperbolic equations. Monthly Weath. Rev. 104.

    Google Scholar 

  • Hansen, W., 1956. Theorie zur Errechnung des Wasserstandes und der Strömungen in Randmeeren nebst Anwendungen. Tellus B.

    Google Scholar 

  • Kautsky, H., 1973. The distribution of the radio nuclide Caesium 137 as an indicator for North Sea water mass transport. Dt. Hydrogr. Zeitschr. 26.

    Google Scholar 

  • Lax, P.D., 1954. Weak solutions of nonlinear hyperbolic equations and their numerical applications. Comm. Pure App. Math. 7.

    Google Scholar 

  • Maier-Reimer, E., 1973. Hydrodynamisch-numerische Untersuchungen zu horizontalen Ausbreitungs- und Transportvorgängen in der Nordsee. Mitt. Inst. Meereskd. Univ. Hamburg 21.

    Google Scholar 

  • Maier-Reimer, E., 1975. Zum Einfluss eines mittleren Windschubes auf die Restströme der Nordsee. Dt. Hydrogr. Zeitschr. 28.

    Google Scholar 

  • Maier-Reimer, E. and J. Sündermann, 1982. On tracer methods in computational hyârodynamics. In: Abbott, M.B. and J. Cunge (eds.) Engineering applications of computational hydraulics. Pitman Boston-London-Melbourne.

    Google Scholar 

  • Müller-Navarra, S., 1983. Simulation von Bewegungsvorgängen im Uebergangsgebiet zwischen Nordsee und Ostsee. Diploma thesis, Univ. of Hamburg.

    Google Scholar 

  • Richtmyer, R.D. and K.W. Morton, 1967. Difference methods for initial value problems. Interscience Publishers New York.

    Google Scholar 

  • Simons, T.J., 1980. Circulation models of lakes and inland seas. Can. Bull. Fish. Aquat. SCI 203.

    Google Scholar 

  • Sündermann, J., 1971. Die hydrodynamisch-numerische Berechnung der Vertikalstruktur von Bewegungsvorgängen in Kanälen und Becken. Mitt. Inst. Meereskd. Univ. Hamburg 19.

    Google Scholar 

  • Sündermann, J., 1979. Numerical modelling of circulation in lakes. In: Graf, W.H. and C.H. Mortimer (eds.) Hydrodynamics of lakes. Elsevier Amsterdam-Oxford-New York.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Oceanography, University of Hamburg, Heimhuder Str. 71, 2000, Hamburg 13, Federal Republic of Germany

    Jürgen Sündermann

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  1. Jürgen Sündermann
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Editors and Affiliations

  1. Federal Institute of Technology Zurich, Zurich, Switzerland

    K. Hutter

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© 1984 Springer-Verlag Wien

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Sündermann, J. (1984). Numerical Modelling of Barotropic Circulation Processes. In: Hutter, K. (eds) Hydrodynamics of Lakes. International Centre for Mechanical Sciences, vol 286. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2634-9_6

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  • DOI: https://doi.org/10.1007/978-3-7091-2634-9_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81812-1

  • Online ISBN: 978-3-7091-2634-9

  • eBook Packages: Springer Book Archive

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