Abstract
The atmosphere transmits wavelike signals at a wide range of speeds. Rapidly moving, physically insignificant waves can impose very strict time-step limitations on numerical methods in order to ensure the integrations remain stable. Sound waves, for example, travel very rapidly but are of essentially no meteorological significance, and it is not practical to simulate most atmospheric circulations using the very short time steps required for the accurate and stable integration of the sound waves. This chapter reviews techniques for circumventing such time step restrictions, thereby allowing the step size to be chosen to ensure the accuracy and stability of the physically significant components of the solution.
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Durran, D.R. (2011). Stabilizing Fast Waves. In: Lauritzen, P., Jablonowski, C., Taylor, M., Nair, R. (eds) Numerical Techniques for Global Atmospheric Models. Lecture Notes in Computational Science and Engineering, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11640-7_6
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DOI: https://doi.org/10.1007/978-3-642-11640-7_6
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