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Analysis of the Friction Term in the One-Dimensional Shallow-Water Model |
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| Authors: | J. Burguete P. García-Navarro J. Murillo I. García-Palacín |
| Affiliation: | 1Researcher, Suelo y Agua, Estación Experimental Aula Dei, CSIC, Avda. Monta?ana 1005, 50059 Zaragoza, Spain. E-mail: jburguete@eead.csic.es 2Lecturer, Fluid Mechanics, CPS, Univ. of Zaragoza, María de Luna 3, 50018 Zaragoza. Spain. E-mail: pigar@unizar.es 3Assistant Professor, Fluid Mechanics, CPS, Univ. of Zaragoza, María de Luna 3, 50018 Zaragoza, Spain. E-mail: jmurillo@mafalda.cps.unizar.es 4Lecturer, Fluid Mechanics, CPS, Univ. of Zaragoza, María de Luna 3, 50018 Zaragoza, Spain. E-mail: ignacio@unizar.es |
| Abstract: | The numerical simulation of unsteady open channel flows is very commonly performed using the one-dimensional shallow-water model. Friction is one of the relevant forces included in the momentum equation. In this work, a generalization of the Gauckler-Manning friction model is proposed to improve the modeling approach in cases of dominant roughness, unsteady flow, and distorted cross-sectional shapes. The numerical stability conditions are revisited in cases of dominant friction terms and a new condition, complementary to the basic Courant-Friedrichs-Lewy condition, is proposed. Some test cases with measured data are used to validate the quality of the approaches. |
| Keywords: | Shallow water Open channel flow Flow resistance Roughness Numerical models Energy losses Friction Hydrologic models |