Finite volume method for simulating extreme flood events in natural channels;Simulation des évènements hydrologiques extrêmes dans les cours d'eau naturels par une méthode en volumes finis

Journal of Hydraulic Research

Volumn 41, Issue 2, 2003, Pages 167-177

  Caleffi, Valerio ^a   Valiani, Alessandro ^a   Zanni, Andrea ^a  

^a UNIVERSITY OF FERRARA   (Italy)

Author keywords

FVM; HLL approximate Riemann Solver; Overland flood flow; Source terms; SWE; Toce river

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DAMS; FINITE VOLUME METHOD; FLOODS; HYDROLOGY; RELIABILITY; WATER;

NATURAL CHANNELS;

CHANNEL FLOW;

ALGORITHM; FINITE VOLUME TECHNIQUE; FLOOD; MATHEMATICAL MODELING; RIVER CHANNEL;

ALGORITHM; FINITE VOLUME METHOD; FLOOD; FLOOD DAMAGE; NUMERICAL MODEL; RIVER CHANNEL;

ITALY; PIEDMONT; TOCE RIVER;

EID: 0038268613     PISSN: 00221686     EISSN: None     Source Type: Journal    
DOI: 10.1080/00221680309499959     Document Type: Article

References (38)

1. WHITHAM, G.B. (1974). "Linear and Nonlinear Waves", J. Wiley & Sons.
2. LIGGETT, J.A. (1994). "Fluid Mechanics", McGraw-Hill, Inc.
3. CHAUDHRY, M.H. (1993). "Open-Channel Flow", Prentice-Hall, Inc.
4. MORRIS, M. (ed.) (1998). 2nd CADAM Meeting Proceedings, HR Wallingford, 2/3 March.
5. HIRSCH, C. (1988). "Numerical Computation of Internal and External Flows", J. Wiley & Sons, Chicester, Vol. I.
6. BELLOS, C., SOULIS, J. and SAKKAS, J. (1991). "Computation of Two Dimensional Dam Break Induced Flow", Adv. in Water Resour., 14(1), 31-41.
7. ZHAO, D.H., SHEN, H.W., TABIOS, G.Q., LAI, J.S. and TAN, W.Y. (1994). "Finite-volume Two-dimensional Unsteady-flow Model for River Basins", JHE, 120(7), 863-883.
8. VALIANI, A., CALEFFI, V. and ZANNI, A. (2002). "Case Study: Malpasset Dam-Break Simulation Using a 2D Finite Volume Method", JHE, 128(5), 460-472.
9. GODUNOV, S. (1959). "A Difference Scheme for Numerical Computation of Discontinuous Solution of Hydrodynamic Equations", Math. Sbornik, 43, 271-306.
10. ROE, P.L. (1981). "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes", J. Comp. Physics, 43, 357-372.
11. VAN LEER, B. (1973). "Towards the Ultimate Conservative Difference Scheme, I. The Quest of Monotonicity", Lecture notes in Phys., 18, 163-168.
12. VAN LEER, B. (1977). "Towards the Ultimate Conservative Difference Scheme, III", J. Comp. Physics, 23, 263-275.
13. OSHER, S. and SOLOMON, F. (1982). "Upwind Difference Schemes for Hyperbolic Conservation Laws", Math. Comp., 38(158), 339-374.
14. HARTEN, A., LAX, P.D. and VAN LEER, B. (1983). "On Upstream Differencing and Godunov-type Schemes for Hyperbolic Conservation Laws", SIAM Rev., 25(1), 35-61.
15. HARTEN, A. (1983). "High Resolution Schemes for Hyperbolic Conservation Laws", J. Comp. Physics, 49, 357-393.
16. GLAISTER, P. (1988). "Approximate Riemann Solutions of the Shallow Water Equations", JHR, 26(3), 293-306.
17. ALCRUDO, F., GARCIA-NAVARRO, P. and SAVIRON, J.M. (1992). "Flux Difference Splitting for ID Open Channel Flow Equations", Int. J. Num. Methods in Fluids, 14, 1009-1018.
18. ALCRUDO, F. and GARCIA-NAVARRO, P. (1993). "A High-resolution Godunov-type Scheme in Finite Volumes for the 2D Shallow-water Equations", Int. J. Num. Methods in Fluids, 16, 489-505.
19. NUJIC, M. (1995). "Efficient Implementation of Non-oscillatory Schemes for the Computation of Free Surface Flow", JHR, 33(1), 101-111.
20. HIRSCH, C. (1988). "Numerical Computation of Internal and External Flows", J. Wiley & Sons, Chicester, Vol. II.
21. LOUAKED, M. and HANICH, L. (1988). "TVD Scheme for the Shallow Water Equations", JHR, 36, 363-378.
22. TSENG, M.H. (1999). "Explicit Finite Volume Non-oscillatory Schemes for 2D Transient Free-surface Flows", Int. J. Num. Methods in Fluids, 30, 831-843.
23. YANG, J.Y. and HSU, C.A. (1996). "Computations of Free Surface Flows, Part 3: Steady Supercritical Flow Using a Generalized Lagrangian Method", JHR, 34(1), 77-98.
24. JASAK, H., WELLER, H.G. and GOSMAN, A. D. (1999). "High Resolution NVD Differencing Scheme for Arbitrarily Unstructured Meshes", Int. J. Num. Methods in Fluids, 31, 431-449.
25. OSHER, S. (1985). "Convergence of Generalized MUSCL Schemes", SIAM J. Num. Analysis, 22(5), 947-961.
26. TORO, E. (1999). "Riemann Solvers and Numerical Methods for Fluid Dynamics", Springer Verlag, Berlin.
27. TORO, E. (1992). "Riemann Problems and the WAF Method for Solving the Two-dimensional Shallow Water Equations", Philosophical Trans. Royal Soc. London, U.K., A338, 43-68.
28. FENNEMA, R.J. and CHAUDHRY, M.H. (1990). "Explicit Methods for 2D Transient Free-Surface Flows", JHE, 116(8), 1013-1034.
29. WANG, J.S., NI, H.G. and HE, Y.S. (2000). "Finite-difference TVD Scheme for Computation of Dam-break Problems", JHE, 126(4), 253-262.
30. AMBROSI, D. (1995). "Approximation of Shallow Water Equations by Roe's Riemann Solver", Int. J. Num. Methods in Fluids, 20, 157-168.
31. HUBBARD, M.F. and GARCIA-NAVARRO P. (2000). "Flux Difference Splitting and the Balancing of Source Terms and Flux Gradients", J. Compu. Physics, 165(1), 89-125.
32. GARCIA-NAVARRO, P. and VAZQUEZ-CENDON, M.E. (2000). "On Numerical Treatment of the Source Terms in the Shallow Water Equations", Computers & Fluids, 29(8), 951-979.
33. BRUFAU, P. and GARCIA-NAVARRO, P. (2000). "Two-dimensional Dam Break Flow Simulation", Int. J. Num. Methods in Fluids, 33(1), 35-58.
34. BERNOULLI, D. (1738). "Hydrodinamica sive de viribus et motibus fluidorum commentarii", Strasbourg.
35. IPPEN, A.T. and KNAPP, R.T. (1939). "Proc. fifth international congress of applied mechanics", J. Wiley & Sons.
36. SLEIGH, P.A., GASKELL, P.H., BERZINS, M. and WRIGHT, N.G. (1998). "An Unstructured Finite-volume Algorithm for Predicting Flow in Rivers and Estuaries", Computers & Fluids, 27(4), 479-508.
37. VALIANI, A. (1992). "Rapid Transients in Free-surface Flows With Movable Bed: A 2D Numerical Solution", HYDROCOMP '92, International Conference on Interaction of Computational Methods and Measurements in Hydraulics and Hydrology, Budapest, Hungary, 139-146.
38. TESTA, G. (ed.) (1999). 3rd CADAM Meeting Proceedings, Milan, Italy, 6/7 May.