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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
