This lecture describes the basics of hyperbolic systems as needed to solve the initial boundary value problem for hydrostatic atmospheric modeling. We examine the nature of waves in the hydrostatic primitive equations and how the modal decomposition can be used to effect a complete solution in the interior of an open domain. The relevance of the open boundary problem for the numerical problem of static and adaptive mesh refinement is discussed.
CITATION STYLE
Tribbia, J., & Temam, R. (2011). Waves, Hyperbolicity and Characteristics. In Lecture Notes in Computational Science and Engineering (Vol. 80, pp. 29–42). Springer Verlag. https://doi.org/10.1007/978-3-642-11640-7_2
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