Transparent lateral boundary conditions for baroclinic waves: a study of two elementary systems of equations

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McDonald, A. (2005)

Transparent lateral boundary conditions are derived for two linear systems of equations which support baroclinic waves. The first consists of a two-layer model of two superposed immiscible fluids of different densities. The second consists of a multilevel model of the hydrostatic primitive equations in two (x–z) dimensions. A practical demonstration is given of the efficacy of these boundary conditions for both system of equations. First, it is shown that the boundaries are transparent to outgoing waves. Secondly, it is demonstrated that externally imposed incoming waves enter without distortion.
  • References (18)
    18 references, page 1 of 2

    Davies, H. C. 1976. A lateral boundary formulation for multi-level prediction models. Q. J. R. Meteorol. Soc. 102, 405-418.

    Davies, H. C. 1983. Limitations on some common lateral boundary schemes used in regional NWP models. Mon. Wea. Rev. 111, 1002- 1012.

    Doetsch, G. 1971. In: Guide to the Application of the Laplace and ZTransforms, Van Nostrand-Reinhold, Princeton, NJ, 240 pp.

    Durran, D. R. 2001. Open boundary conditions: fact and fiction. In: IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics, (ed.P. F. Hodnett), Kluwer Academic, Dordrecht, 1-18.

    Durran, D. R., Yang, M. J. and Brown, R. G. 1993. Toward more accurate wave-permeable boundary conditions. Mon. Wea. Rev. 121, 604-620.

    Engquist, B. and Majda, A. 1977. Absorbing boundary conditions for the numerical simulation of waves. Math. Comput., 31, 629-651.

    Gill, A. E. 1982. In: Atmosphere-Ocean Dynamics. Academic Press, New York, 662 pp.

    Gustafsson, B., Kreiss, H.-O. and Oliger, J. 1995. In: Time-Dependent Problems and Difference Methods. Wiley, New York, 642 pp.

    Ince, E. L. 1956. In: Ordinary Differential Equations. Dover, New York, 558 pp.

    Kalnay, E. 2003. In: Atmospheric Modeling, Data Assimilation, and Predictability. Cambridge Univ. Press, Cambridge, 341 pp.

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