Many authors solve shallow water equations by using Weighted Essentially Non-Oscillatory (WENO) schemes. Flow simulations over computational domains characterized by a complex boundary can be performed by numerical integrations of the contravariant form of motion equations on a generalized curvilinear boundary conforming grid. The original contribution of this work is the definition of a new Upwind WENO scheme for the solution of the 2D shallow water equations expressed directly in contravariant formulation.
A WENO scheme for the integral form of contravariant shallow water equations / Gallerano, Francesco; Cannata, Giovanni; Tamburrino, Marco. - STAMPA. - (2011), pp. 160-161. (Intervento presentato al convegno Numerical Methods for Hyperbolic Equations: Theory and Applications. An International Conference to Honour Professor E. F. Toro tenutosi a Santiago de Compostela (Spain) nel 4-8 luglio 2011).
A WENO scheme for the integral form of contravariant shallow water equations
GALLERANO, Francesco;CANNATA, Giovanni;TAMBURRINO, MARCO
2011
Abstract
Many authors solve shallow water equations by using Weighted Essentially Non-Oscillatory (WENO) schemes. Flow simulations over computational domains characterized by a complex boundary can be performed by numerical integrations of the contravariant form of motion equations on a generalized curvilinear boundary conforming grid. The original contribution of this work is the definition of a new Upwind WENO scheme for the solution of the 2D shallow water equations expressed directly in contravariant formulation.| File | Dimensione | Formato | |
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