Abstract
In the chapter we consider a linearized system of shallow water equations. Since this problem should be solved in domains being seas and oceans (or their parts), then solving this problem should use unstructured meshes to approximate domains under consideration properly. This problem was studied in the papers [1–4]. Here we consider finite-difference approximation of these equations, prove convergence of approximate solution to the differential one, and provide a number of numerical experiments confirming theoretical results. We also carried out some numerical experiments for real geographic objects.
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Acknowledgments
The authors are grateful to V. Zalesny, Yu. Vasilevskii and A. Gusev for valuable discussions.
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Kobelkov, G.M., Drutsa, A.V. (2014). Finite-Difference Method of Solution of the Shallow Water Equations on an Unstructured Mesh. In: Zgurovsky, M., Sadovnichiy, V. (eds) Continuous and Distributed Systems. Solid Mechanics and Its Applications, vol 211. Springer, Cham. https://doi.org/10.1007/978-3-319-03146-0_8
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DOI: https://doi.org/10.1007/978-3-319-03146-0_8
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