Abstract
The accuracy of low order numerical methods for the shallow water equations is improved by using vector reconstruction techniques based on matrix valued radial basis functions. Applications to geophysical fluid dynamics problems show that these reconstruction techniques allow to maintain important discrete conservation properties while greatly reducing the error with respect to low order discretizations.
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Bonaventura, L., Miglio, E., Saleri, F. (2006). Finite Volume Solvers for the Shallow Water Equations Using Matrix Radial Basis Function Reconstruction. In: de Castro, A.B., Gómez, D., Quintela, P., Salgado, P. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34288-5_13
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DOI: https://doi.org/10.1007/978-3-540-34288-5_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34287-8
Online ISBN: 978-3-540-34288-5
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