Abstract
The shallow water equations describe motions in a shallow, incompressible, non-viscous fluid layer on the rotating Earth. Due to their relative simplicity, they are widely used for testing and analysing new numerical methods developed for weather predicition models. In this paper we apply different operator splittings to the linearized form of the shallow water equations obtained by the method of small perturbations. This system has three harmonic wave solutions with known dispersion relations and phase velocities. We investigate how the application of operator splitting modifies these important characteristics, and compare the performance of different splitting methods from this point of view.
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Havasi, Á. (2006). Dispersion Analysis of Operator Splittings in the Linearized Shallow Water Equations. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2005. Lecture Notes in Computer Science, vol 3743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11666806_40
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DOI: https://doi.org/10.1007/11666806_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31994-8
Online ISBN: 978-3-540-31995-5
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