Finite Volume Solvers for the Shallow Water Equations Using Matrix Radial Basis Function Reconstruction

L. Bonaventura (), E. Miglio () and F. Saleri ()
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L. Bonaventura: Politecnico di Milano, MOX - Dipartimento di Matematica
E. Miglio: Politecnico di Milano, MOX - Dipartimento di Matematica
F. Saleri: Politecnico di Milano, MOX - Dipartimento di Matematica

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 207-214 from Springer

Abstract: 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.

Keywords: Radial Basis Function; Potential Vorticity; Shallow Water Equation; Radial Basis Function; Shallow Water Model (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_13

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DOI: 10.1007/978-3-540-34288-5_13

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