HLLC scheme with novel wave-speed estimators appropriate for two-dimensional shallow-water flow on erodible bed

International Journal for Numerical Methods in Fluids

Volumn 66, Issue 8, 2011, Pages 1019-1036

  Soares Frazão, Sandra ^a,b   Zech, Yves ^b  

^a FNRS   (Belgium)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Dam break flow; Finite volume; HLLC; Morphological flows; Shallow water; Wave speed estimator

Indexed keywords

DAM-BREAK FLOW; FINITE-VOLUME; HLLC; MORPHOLOGICAL FLOWS; SHALLOW-WATER; WAVE-SPEED ESTIMATOR;

ANOXIC SEDIMENTS; DAMS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; ESTIMATION; SEDIMENT TRANSPORT; SEDIMENTOLOGY;

SPEED;

EID: 77954944007     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2300     Document Type: Article

References (27)

1. Cunge JA, Holly FM, Verwey A. Practical Aspects of Computational River Hydraulics. Pitman: London, 1980.
2. Vreugdenhil CB, de Vries M. Computation of Non-Steady Bed-Load Transport by a Pseudo Viscosity Method. Delft Hydr. Lab. Publ. No. 45, Delft: The Netherlands, 1967.
3. Hudson J, Sweby PK. A high-resolution scheme for the equations governing 2D bed-load sediment transport. International Journal for Numerical Methods in Fluids 2005; 47:1085-1091.
4. Cao Z, Day R, Egashira S. Coupled and decoupled numerical modeling of flow and morphological evolution in alluvial rivers. Journal of Hydraulic Engineering 2002; 128(3):306-321.
5. Rahuel JL. Modélisation de l'évolution du lit des rivières alluvionnaires à granulométrie étendue (in French). Institut National Polytechnique de Grenoble: Grenoble, France, 1988.
6. Correia LRP. Numerical modelling of unsteady sediment transport. Ph.D. Thesis, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 1990.
7. Correia LRP, Krishnappan BG, Graf WH. Laboratory verification of a coupled unsteady flow model. Proceedings of XXIV IAHR Congress, Madrid, Spain, 1991; 471-480.
8. Kassem AA, Chaudhry MH. Comparison of coupled and semicoupled numerical models for alluvial channels. Journal of Hydraulic Engineering (ASCE) 1998; 124(8):794-802.
9. Faeh R. Numerical modeling of breach erosion of river embankments. Journal of Hydraulic Engineering 2007; 133(9):1000-1009.
10. Liu X, Landry BJ, Garcia MH. Two-dimensional scour simulations based on coupled model of shallow water equations and sediment transport on unstructured meshes. Coastal Engineering 2008; 55(10):800-810.
11. Soulis J. A fully coupled numerical technique for 2D bed morphology calculations. International Journal for Numerical Methods in Fluids 2002; 38(1):71-98. DOI: 10.1002/fld.207.
12. Capart H, Young DL. Two-layer shallow water computations of torrential geomorphic flows. Proceedings of River Flow 2002, Louvain-la-Neuve, Belgium, September 2002; 1003-1012.
13. Leal JGAB, Ferreira RML, Franco AB, Cardoso AH. Experimental study on dam-break flood waves over movable bed channels. International Journal of Sediment Research 2002; 17(3):186-196.
14. Savary C, Zech Y. Boundary conditions in a two-layer geomorphological model. Application to a hydraulic jump over a mobile bed. Journal of Hydraulic Research 2007; 45(3):316-332.
15. Spinewine B, Zech Y. Small-scale laboratory dam-break waves on movable beds. Journal of Hydraulic Research 2007; 45(extra issue):73-86.
16. Lyn DA, Altinakar M. St-Venant-Exner equations for near-critical and transcritical flows. Journal of Hydraulic Engineering (ASCE) 2002; 128(6):579-587.
17. Goutière L, Soares-Frazão S, Savary C, Laraichi T, Zech Y. One-dimensional model for transient flows involving bed-load sediment transport and changes in flow regimes. Journal of Hydraulic Engineering (ASCE) 2008; 134(6):726-735.
18. Palumbo A, Soares-Frazão S, Goutiere L, Pianese D, Zech Y. Dam-break flow on mobile bed in a channel with a sudden enlargement. Proceedings River Flow 2008 International Conference on Fluvial hydraulics, Cesme, vol. 1, 3-5 September 2008; 645-654.
19. Guinot V. Wave Propagation in Fluids. Models and Numerical Techniques. ISTE: London, U.K., 2008.
20. Toro EF. Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction. Springer: Berlin, Germany, 1997.
21. Alcrudo F, Garcia-Navarro P. A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations. International Journal for Numerical Methods in Fluids 1993; 16(6):489-505.
22. Versteeg HK, Malalasekera W. An Introduction to Computational Fluid Dynamics: The Finite Volume Method. Longman Group: Essex, England, 1995.
23. Fraccarollo L, Capart H, Zech Y. A Godunov method for the computation of erosional shallow water transients. International Journal for Numerical Methods in Fluids 2003 41(9):951-976.
24. Costanzo C, Macchione F, Viggiani G. The influence of source terms treatment in computing two dimensional flood propagation. Proceedings of River Flow 2002, Louvain-la-Neuve, Belgium, vol. 1, 2002; 277-282.
25. Courant R, Friedrichs K, Lewy H. On the partial difference equations of mathematical physics. IBM Journal 1967; 11:215-234.
26. Toro EF, Spruce M, Speares W. Restoration of the contact surface in the HLL Riemann solver. Shock Waves 1994; 4:25-34.
27. Capart H, Bellal M, Boxus L, De Roover C, Zech Y. Approach to morphological equilibrium for steep-sloped river beds. Proceedings of the Seventh International Symposium on River Sedimentation-River Sedimentation. Theory and Applications, Hong Kong, 16-18 December 1998; 231-237.