An Upwind Weighted Essentially Non-Oscillatory scheme for the solution of the Shallow Water Equations on generalized curvilinear coordinate systems is proposed. The Shallow Water Equations are expressed in a contravariant formulation in which Christoffel symbols are avoided. The equations are solved by using a high-resolution finite-volume method incorporated with an exact Riemann Solver.

A contravariant formulation of Non-linear Shallow Water Equations / Cannata, Giovanni; Lasaponara, Francesco; Gallerano, Francesco. - STAMPA. - 34:(2014), pp. 299-306. ((Intervento presentato al convegno 8th International Conference on APPLIED MATHEMATICS, SIMULATION, MODELLING tenutosi a Florence, Italy nel November 22-24, 2014.

A contravariant formulation of Non-linear Shallow Water Equations

CANNATA, Giovanni;LASAPONARA, FRANCESCO;GALLERANO, Francesco
2014

Abstract

An Upwind Weighted Essentially Non-Oscillatory scheme for the solution of the Shallow Water Equations on generalized curvilinear coordinate systems is proposed. The Shallow Water Equations are expressed in a contravariant formulation in which Christoffel symbols are avoided. The equations are solved by using a high-resolution finite-volume method incorporated with an exact Riemann Solver.
8th International Conference on APPLIED MATHEMATICS, SIMULATION, MODELLING
2D shallow Water Equations; Upwind WENO; Contravariant formulation
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
A contravariant formulation of Non-linear Shallow Water Equations / Cannata, Giovanni; Lasaponara, Francesco; Gallerano, Francesco. - STAMPA. - 34:(2014), pp. 299-306. ((Intervento presentato al convegno 8th International Conference on APPLIED MATHEMATICS, SIMULATION, MODELLING tenutosi a Florence, Italy nel November 22-24, 2014.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/642396
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