Boundary conditions in a two-layer geomorphological model. Application to a hydraulic jump over a mobile bed

Journal of Hydraulic Research

Volumn 45, Issue 3, 2007, Pages 316-332

  Savary, Céline ^a   Zech, Yves ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Boundary conditions; Characteristics; Non equilibrium sediment transport; Transcritical flow; Two layer shallow water model

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; GEOMORPHOLOGY; MATHEMATICAL MODELS; SEDIMENT TRANSPORT;

NON-EQUILIBRIUM SEDIMENT TRANSPORT; TRANSCRITICAL FLOW; TWO-LAYER SHALLOW-WATER MODEL;

HYDRAULIC JUMP;

BOUNDARY CONDITIONS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; GEOMORPHOLOGY; HYDRAULIC JUMP; MATHEMATICAL MODELS; SEDIMENT TRANSPORT;

BEDLOAD; BOUNDARY CONDITION; FLOW MODELING; GEOMORPHOLOGY; HYDRAULICS; NUMERICAL MODEL; SEDIMENT TRANSPORT; SHALLOW-WATER EQUATION;

EID: 34447118933     PISSN: 00221686     EISSN: None     Source Type: Journal    
DOI: 10.1080/00221686.2007.9521766     Document Type: Article

References (31)

1. ABBOTT, M.B. (1979). Computational Hydraulics. Elements of the Theory of Free-Surface Flows. Pitman, London.
2. ARMANINI, A. and DI SILVIO, G. (1988). "A One-Dimensional Model for the Transport of a Sediment Mixture in Non-Equilibrium Conditions". Journal of Hydraulic Research 26, 275-292.
3. ARMANINI, A. and LARCHER, M. (2001). "Rational Criterion for Designing of Slit-Check Dam". Journal of Hydraulic Research IAHR 127(2), 94-104.
4. AUDUSSE, E. (2005). "A multiplayer Saint-Venant Model: Derivation and Numerical Validation". Discrete and Continuous Dynamical Systems-Series B, 5(2), May 2005, 189-214.
5. BELL R.G. and SUTHERLAND, A.J. (1983). "Non-Equilibrium Bed Load Transport by Steady Flow". Journal of Hydraulic Engineering, ASCE 109(3), 351-367.
6. BELLAL, M., SPINEWINE, B., SAVARY, C. and ZECH, Y. (2003). "Morphological Evolution of Steep-Sloped River Beds in the Presence of a Hydraulic Jump: Experimental Study". Proceedings of XXX IAHR Congress, Thessaloniki, Greece, August 2003, Vol. C-II, pp. 133-140.
7. BUSNELLI, M.M., STELLING, G.S. and LARCHER, M. (2001). "Numerical Morphological Modeling of Open-Check Dams". Journal of Hydraulic Engineering, 127(2), 105-114.
8. CAPART, H. (2000). "Dam-break Induced Geomorphic Flows and the Transition from Solid- to Fluid-Like Behaviour Across Evolving Interfaces". PhD Thesis, Université catholique de Louvain, Louvain-la-Neuve, Belgium.
9. CAPART, H. (2004). Shallow flow. Lecture notes, National Taiwan University.
10. CAPART, H. and YOUNG, D.L. (2002). "Two-Layer Shallow Water Computations of Torrential Geomorphic Flows". Proceedings of River Flow 2002, Louvain-la-Neuve, Belgium, September 2002, pp. 1003-1012.
11. CHEN, S.C., PENG, S.H. and CAPART, H. (2007). "Two-Layer Shallow Water Computation of Mud Flow Intrusions into Quiescent Water". Journal of Hydraulic Research, 45(1), 13-25.
12. CORREIA, L.R.P. (1990). "Numerical Modelling of Unsteady Sediment Transport". PhD Thesis, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.
13. CORREIA, L.R.P., KRISHNAPPAN, B.G. and GRAF, W.H. (1991). "Laboratory Verification of a Coupled Unsteady Flow Model". Proceedings of XXIV IAHR Congress, Madrid, Spain, 1991, pp. A471-A480.
14. CUNGE, J.A., HOLLY, F.M. and VERWEY, A. (1980). Practical Aspects of Computational River Hydraulics. Pitman Advanced Publishing Program, London.
15. DI CRISTO, C., LEOPARDI, A. and GRECO, M. (2002). "A Bed-Load Transport Model for Non-Uniform Flows". Proceedings of River Flow 2002, Louvain-la-Neuve, Belgium, September 2002, pp. 859-863.
16. FRACCAROLLO, L. and CAPART, H. (2002). "Riemann Wave Description of Erosional Dam-Break Flows". Journal of Fluid Mechanics 461, 115-133.
17. FRACCAROLLO, L., CAPART, H. and ZECH, Y. (2003). "A Godunov Method for the Computation of Erosional Shallow Water Transient". Int. Journal of Numerical Methods in Fluids 41, 951-976.
18. GOUNTIÈRE, L. and LARAICHI, T. (2006). Modèle d'évolution morphologique fluvial de Saint-Venant-Exner: Analyse numérique et validation expérimentale. Diploma work, Louvain-la-Neuve, Belgium (in French).
19. HARTEN, A., LAX, P.D. and VAN LEER, B. (1983). "On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws". SIAM Review 25, 35-61.
20. JANSEN, P.PH., VAN BENDEGOM, L., VAN DEN BERG, J., DE VRIES, M. and ZANEN, A. (1979). Principles of River Engineering. The Non-Tidal Alluvial River. London, UK Pitman.
21. LE VEQUE, R.J. (2002). Finite Volume Methods for Hyperbolic Problems. Cambridge texts in applied mathematics, 362-368.
22. LYN, D.A. and ALTINAKAR, M. (2002). "St-Venant-Exner Equations for Near-Critical and Transcritical Flows". Journal of Hydraulic Engineering, ASCE 128(6), 579-587.
23. MEYER-PETER, E. and MÜLLER, R. (1948). "Formulas for Bed-Load Transport". Second IAHR Congress, Stockolm, 1948.
24. PHILLIPS, B.C. and SUTHERLAND, A.J. (1989). "Spatial and Lag Effects in Bed Load Sediment Transport". Journal of Hydraulic Research 27, 275-292.
25. PHILLIPS, B.C. and SUTHERLAND, A.J. (1990). "Temporal Lag Effect in Bed Load Sediment Transport". Journal of Hydraulic Research 28, 5-23.
26. RAHUEL, J.L. (1988). "Modélisation de l'évolution du lit des rivières alluvionnaires à granulométrie étendue." (in French). Institut National Polytechnique de Grenoble, Grenoble, France.
27. SAVARY, C. and ZECH, Y. (2006). "Can a Two-Layer Morphological Model Compete with Common Solid Transport Formulae?". Proceedings of River Flow 2006, Lisbon, Portugal, September 2006, pp. 825-832.
28. SIEBEN, J. (1999). "A Theoretical Analysis of Discontinuous Flow with Mobile Bed". Journal of Hydraulic Research, 37(2).
29. SPINEWINE, B. (2005). Two-Layer Flow Behaviour and the Effects of Granular Dilatancy in Dam-Break Induced Sheet-Flow. PhD Thesis, Université catholique de Louvain, Louvain-la-Neuve, Belgium.
30. VAN LEER, B. (1977). "Toward the Ultimate Conservative Difference Scheme III. Upstream-Centered Finite-Difference Schemes for Ideal Compressible Flows". Journal of Computational Physics 23, 263-275.
31. VREUGDENHIL, C.B. and DE VRIES, M. (1967). "Computation of Non-Steady Bed-Load Transport by a Pseudo Viscosity Method", Delft Hydr: Lab. Publ. No 45, Delft, The Netherlands.