The governing systems of equations

doi:https://doi.org/10.1017/cbo9780511763243.003

Book Chapter10.1017/cbo9780511763243.003

The governing systems of equations

Thomas Tomkins Warner-2010-12-02-Cambridge University Press eBooks

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TL;DRAbstract

This chapter describes the governing systems of equations that can serve as the basis for atmospheric models used for both operational and research applications. Even though most models employ similar sets of equations, the exact formulation can affect the accuracy of model forecasts and simulations, and can even preclude the existence in the model solution of certain types of atmospheric waves. Because these equations cannot be solved analytically, they must be converted to a form that can be. The numerical methods typically used to accomplish this are described in Chapter 3.

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This chapter describes the governing systems of equations that can serve as the basis for atmospheric models used for both operational and research applications. Even though most models employ similar sets of equations, the exact formulation can affect the accuracy of model forecasts and simulations, and can even preclude the existence in the model solution of certain types of atmospheric waves. Because these equations cannot be solved analytically, they must be converted to a form that can be. The numerical methods typically used to accomplish this are described in Chapter 3.

Keywords

Basis (linear algebra)Applied mathematicsSimultaneous equationsSystem of linear equationsComputer scienceMathematicsMathematical analysisDifferential equation

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