Quasi-Conservative Formulation of the One-Dimensional Saint-Venant-Exner Model

Journal of Hydraulic Engineering

Volumn 134, Issue 10, 2008, Pages 1521-1526

  Siviglia, Annunziato ^a   Nobile, Giampiero ^b   Colombini, Marco ^b  

^a UNIVERSITY OF TRENTO   (Italy)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

Hydraulics; Numerical models; River beds; Sediment transport

Indexed keywords

HYDRAULICS; SEDIMENT TRANSPORT; SHOCK WAVES;

BED EVOLUTIONS; FLOW EVOLUTION; GOVERNING EQUATIONS; MORPHODYNAMIC MODELLING; NATURAL RIVER; NONCONSERVATIVE; ONE-DIMENSIONAL; RIVER BED; SAINT VENANT EQUATION; SAINT-VENANT;

RIVERS;

DIFFERENTIAL SYSTEMS; EXPERIMENTAL OBSERVATIONS; GOVERNING EQUATIONS; HYDRAULICS; MORPHODYNAMIC MODELING; NATURAL RIVERS; NUMERICAL MODELS; ONE-DIMENSIONAL; PHYSICAL MODEL; RIVER BEDS; SAINT-VENANT; SAINT-VENANT EQUATIONS; SEDIMENT TRANSPORT; SHOCK WAVES;

HYDRAULICS; MORPHODYNAMICS; NUMERICAL MODEL; RIVER BED; RIVER EVOLUTION; RIVER FLOW; SEDIMENT TRANSPORT;

EID: 52649106483     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2008)134:10(1521)     Document Type: Conference Paper

References (21)

1. Bellal, M., Spinewine, C, and Zech, Y. (2003). "Morphological evolution of steep-sloped river beds in the presence of a hydraulic jump." Proc, XXX IAHR Congress, International Association for Hydraulic Research (IAHR), 133-140.
2. Cao, Z., Day, R., and Egashira, A. (2002). "Coupled and decoupled numerical modeling of flow and morphological evolution in alluvial rivers." J. Hydraul. Eng., 128(3), 306-321.
3. Colombini, M., and Stocchino, A. (2005). "Coupling or decoupling bed and flow dynamics: Fast and slow sediment waves at high Froude numbers." Phys. Fluids, 17(3), 1-9.
4. Correia, L., Krishnappan, B., and Graf, W. (1992). "Fully coupled unsteady mobile boundary flow model." J. Hydraul. Eng., 118(3), 476-494.
5. Cui, Y., Parker, G., and Paola, C. (1996). "Numerical simulation of aggradation and downstream fining." J. Hydraul. Res., 34(2), 195-204.
6. Cunge, J. A., Holly, F M., and Verwey, A. (1994). Practical aspects of computational river hydraulics, Pitman, reprinted by the Univ. of Iowa.
7. Engelund, F (1964). "Book of abstracts." Rep. No. 6, Univ. of Denmark.
8. Garcia-Navarro, P., Fras, A., and Villanueva, I. (1999). "Dam-break flow simulation: Some results for one-dimensional models of real cases." J. Hydrol., 216, 227-247.
9. Holly, F, and Rahuel, J. (1990). "New numerical/physical framework for mobile bed modelling. Part 1: Numerical and physical principles." J. Hydraul. Res., 28(4), 401-416.
10. Hou, T., and LeFloch, P. (1994). "Why non-conservative schemes converge to the wrong solutions: Error analysis." Math. Comput., 62, 497-530.
11. Lanzoni, S., Siviglia, A., Frascati A., and Seminara, G. (2006). "Long waves in erodible channels and morphodynamic influence." Water Resour. Res., 42, W06D17.
12. Lax, P., and Wendroff, B. (1960). "Systems of conservation laws." Com-mun. Pure Appl. Math., 13, 217-237.
13. Lyn, D., and Altinakar, M. (2002). "St. Venant exner equations for near-critical and transcritical flows." J. Hydraul. Eng., 128(6), 579-587.
14. Parker, G (1990). "Surface-based bedload transport relation for gravel rivers." J. Hydraul. Res., 28(4), 417-436.
15. Sieben, J. (1999). "A theoretical analysis of discontinuous flows with mobile bed." J. Hydraul. Res., 37(2), 199-212.
16. Singh, A., Kothyari, U, and Ranga Raju, K. (2004). "Rapidly varying transient flows in alluvial rivers." J. Hydraul. Res., 42(5), 473-486.
17. Toro, E. (1999). Riemann solvers and numerical methods for fluid dynamics, 2nd Ed., Springer, New York.
18. Toro, E. (2006). "Riemann solvers with evolved initial conditions." Int. J. Numer. Methods Fluids, 52(4), 433-453, http://www3.interscience.wiley.com/journal/112769978/issue
19. Toro, E., and Siviglia, A. (2003). "Price: Primitive centered schemes for hyperbolic system of equations." Int. J. Numer. Methods Fluids, 42, 1263-1291.
20. Tseng, M. (2003). "The improved surface gradient method for flow simulation in variable bed topography channel using tvd-maccormack scheme." Int. J. Numer. Methods Fluids, 43, 71-91.
21. Wu, W., Vieira, D., and Wang, S. (2004). "One-dimensional numerical model for nonuniform sediment transport under unsteady flows in channel networks." J. Hydraul. Eng., 130(9), 914-923.