Το work with title Implicit high-resolution methods for modelling one-dimensional open channel flow by Delis Anargyros, Skeels C. P., Ryrie S. C. is licensed under Creative Commons Attribution 4.0 International
Bibliographic Citation
A. I. Delis, C. P. Skeels and S. C. Ryrie, "Implicit high-resolution methods for modelling one-dimensional open channel flow," J. Hydraulic Res., vol. 38, no. 5, pp. 369-382, 2000. doi:10.1080/00221680009498318
https://doi.org/10.1080/00221680209499897
Three implicit high-resolution total variation diminishing (TVD) schemes are presented for solving the Saint-Venant equations. The applicability,performance and validity of these methods are investigated. Recently created benchmark solutions are reproduced for a wide range of cases, whichinclude friction, nonuniform bed slopes, transitions between subcritical and supercritical flow, nonprismatic cross sections and hydraulic jumps. Thetests produce satisfactory results without resorting to excessively fine grids. All the methods also produce satisfactory results for an idealized dambreakproblem.