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Basic equations of hydrostatic general circulation models

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Abstract

In this first chapter of Part III, we present the basic equations for an atmospheric general circulation model. We consider the model governed by primitive equations on a sphere in s-coordinates. Primitive equations have already been described in Chapter 3. Here, we summarize these equations in spherical coordinates for convenience of numerical discretization in the following chapters.

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References and suggested reading

  • Durran, D.R., 2010: Numerical Methods for Fluid Dynamics with Applications to Geophysics, 2nd ed. Springer, New York, 516 pp.

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  • Krishnamurti, T.N., Bedi, H. S., and Hardiker, V.M., 1998: An Introduction to Global Spectral Modeling. Oxford University Press, New York, 253 pp.

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  • Lin, S.-J. and Rood, R.B., 1997: An explicit flux-form semi-Lagrangian shallowwater model on the sphere. Q. J.Roy. Meteorol. Soc., 123, 2477–2498.

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Satoh, M. (2014). Basic equations of hydrostatic general circulation models. In: Atmospheric Circulation Dynamics and General Circulation Models. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13574-3_20

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