A numerical model is proposed to compute one-dimensional open channel flows in natural streams involving steep, nonrect- angular, and nonprismatic channels and including subcritical, supercritical, and transcritical flows. The Saint-Venant equations, written in a conservative form, are solved by employing a predictor-corrector finite volume method. A recently proposed reformulation of the source terms related to the channel topography allows the mass and momentum fluxes to be precisely balanced. Conceptually and algorithmically simple, the present model requires neither the solution of the Riemann problem at each cell interface nor any special additional correction to capture discontinuities in the solution such as artificial viscosity or shock-capturing techniques. The resulting scheme has been extensively tested under steady and unsteady flow conditions by reproducing various open channel geometries, both ideal and real, with nonuniform grids and without any interpolation of topographic survey data. The proposed model provides a versatile, stable, and robust tool for simulating transcritical sections and conserving mass.
Conservative scheme for numerical modeling of flow in natural geometry / M. Catella; E. Paris; L. Solari. - In: JOURNAL OF HYDRAULIC ENGINEERING. - ISSN 0733-9429. - STAMPA. - 134:(2008), pp. 736-748. [10.1061/(ASCE)0733-9429(2008)134:6(736)]
Conservative scheme for numerical modeling of flow in natural geometry
PARIS, ENIO;SOLARI, LUCA
2008
Abstract
A numerical model is proposed to compute one-dimensional open channel flows in natural streams involving steep, nonrect- angular, and nonprismatic channels and including subcritical, supercritical, and transcritical flows. The Saint-Venant equations, written in a conservative form, are solved by employing a predictor-corrector finite volume method. A recently proposed reformulation of the source terms related to the channel topography allows the mass and momentum fluxes to be precisely balanced. Conceptually and algorithmically simple, the present model requires neither the solution of the Riemann problem at each cell interface nor any special additional correction to capture discontinuities in the solution such as artificial viscosity or shock-capturing techniques. The resulting scheme has been extensively tested under steady and unsteady flow conditions by reproducing various open channel geometries, both ideal and real, with nonuniform grids and without any interpolation of topographic survey data. The proposed model provides a versatile, stable, and robust tool for simulating transcritical sections and conserving mass.File | Dimensione | Formato | |
---|---|---|---|
Catella_Paris_Solari.pdf
accesso aperto
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Open Access
Dimensione
1.08 MB
Formato
Adobe PDF
|
1.08 MB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.