Conservative Scheme for Numerical Modeling of Flow in Natural Geometry
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 6
Abstract
A numerical model is proposed to compute one-dimensional open channel flows in natural streams involving steep, nonrectangular, 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.
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Acknowledgments
The writers wish to acknowledge Professor Luigi Montefusco for his help and his valuable comments and suggestions. The writers also acknowledge Giulio Bechi for his comments and help with the numerical simulations. This work has received financial support from the IMONT National Mountain Institute for the research “Modellistica Numerica Applicata alla Propagazione delle Piene nei Corsi d’acqua Montani.”
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Published In
Journal of Hydraulic Engineering
Volume 134 • Issue 6 • June 2008
Pages: 736 - 748
Copyright
© 2008 ASCE.
History
Received: Jun 17, 2005
Accepted: Aug 6, 2007
Published online: Jun 1, 2008
Published in print: Jun 2008
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