In this paper, a numerical model, aiming at the accurate solution of the one-dimensional Shallow-water Equations with bed slope source terms, is presented. The numerical model, which is fully third-order precise in time and space, is based on the Spectral Volume Method, and makes use of the HLL approximate Riemann solver for the evaluation of the fluxes at the interface between the cells. Source terms are treated, in the context of the HLL solver, in upwinded fashion. A number of numerical experiments are reported, showing the promising capabilities of the model to solve real-world problems with complicate topographies.
High-order Finite Volume modelling of one-dimensional flows / Cozzolino, Luca; Pianese, Domenico. - STAMPA. - 1:(2006), pp. 1-10. (Intervento presentato al convegno RIVER FLOW 2006 INTERNATIONAL CONFERENCE ON RIVER HYDRAULICS tenutosi a Lisbona (Portogallo) nel 6-8 settembre 2006).
High-order Finite Volume modelling of one-dimensional flows
COZZOLINO, LUCA;PIANESE, DOMENICO
2006
Abstract
In this paper, a numerical model, aiming at the accurate solution of the one-dimensional Shallow-water Equations with bed slope source terms, is presented. The numerical model, which is fully third-order precise in time and space, is based on the Spectral Volume Method, and makes use of the HLL approximate Riemann solver for the evaluation of the fluxes at the interface between the cells. Source terms are treated, in the context of the HLL solver, in upwinded fashion. A number of numerical experiments are reported, showing the promising capabilities of the model to solve real-world problems with complicate topographies.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
