Analysis of One-Dimensional Modelling for Flood Routing in Compound Channels

Water Resources Management

Volumn 26, Issue 5, 2012, Pages 1065-1087

  Costabile, Pierfranco ^a   Macchione, Francesco ^a  

^a UNIVERSITY OF CALABRIA   (Italy)

Author keywords

1D mathematical model; Compound channels; Flood simulations; Numerical methods; Unsteady flow equations

Indexed keywords

1D MATHEMATICAL MODELS; BOUSSINESQ; COMPOUND CHANNEL; EIGENVALUES; FLOOD PROPAGATION; FLOOD ROUTING; FLOOD SIMULATIONS; FLOOD-PLAINS; PHYSICAL CONDITIONS; TRANSFER MECHANISMS; UNSTEADY FLOW EQUATIONS;

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MOMENTUM TRANSFER; NUMERICAL METHODS; UNSTEADY FLOW; WATER LEVELS;

FLOODS;

BOUNDARY CONDITION; BOUSSINESQ EQUATION; CHANNEL FLOW; CHANNEL HYDRAULICS; COMPUTER SIMULATION; EIGENVALUE; FLOOD ROUTING; FLOODPLAIN; ONE-DIMENSIONAL MODELING; UNSTEADY FLOW; WATER LEVEL;

EID: 84858621706     PISSN: 09204741     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11269-011-9947-2     Document Type: Article

References (39)

1. Abbott MB (1991) Computational hydraulics. Ashgate Publishing Limited.
2. Abida H, Townsend RD (1994) A model for routing unsteady flows in compound channels. J Hydraul Res 32(1): 145-153.
3. Ackers P (1993) Flow formulae for straight two-stage channels. J Hydraul Res 31(4): 509-531.
4. Beven KJ (2006) Rainfall-runoff modelling - the primer. Wiley e Sons Ltd, Chichester.
5. Blalock ME, Sturm TW (1981) Minimum specific energy in compound open channels. J Hydraul Div ASCE 107(HY6): 699-717.
6. Bousmar D, Zech Y (1999a) Momentum transfer for practical flow computation in compound channel. J Hydraul Eng ASCE 125(7): 696-706.
7. th IAHR Congress, Graz, Austria.
8. Burguete J, García-Navarro P (2004) Improving simple explicit methods for unsteady open channel and river flow. Int J Numer Methods Fluids 45: 125-156.
9. Burguete J, García-Navarro P, Murillo J (2008) Friction term discretization and limitation to preserve stability and conservation in the 1D shallow-water model: application to unsteady irrigation and river flow. Int J Numer Methods Fluids 58: 403-425.
10. Cao Z, Meng J, Pender G, Wallis S (2006) Flow resistance and momentum flux in compound open channel. J Hydraul Eng ASCE 132(12): 1272-1282.
11. Chaudhry MH, Bhallamudy SM (1988) Computation of critical depth in symmetrical compound channels. J Hydraul Res 26(4): 377-396.
12. Costabile P, Macchione F (2010) "The role of Boussinesq's coefficient in computing flood propagation in compound channels". Proc. First European IAHR Congress, Edinburgh, Scotland.
13. rd IAHR Congress, Vancouver, Canada, 2421-2428.
14. Huthoff F, Roos PC, Augustijn DCM, Hulscher S (2008) Interacting divided channel method for compound channel flow. J Hydraul Eng ASCE 134(8): 1158-1165.
15. Kordi E, Ayyoubzadeh SA, Ahmadi MZ, Zahiri A (2009) Prediction of the lateral flow regime and critical depth in compound open channels. Can J Civil Eng 36: 1-13.
16. Lai C, Liu C, Lin Y (2000) Experiments on flood-wave propagation in compound channel. J Hydraul Eng ASCE 126(7): 492-501.
17. Lambert MF, Myers WR (1998) Estimating the discharge capacity in straight compound channels. P I Civil Eng Water 130: 84-94.
18. Lee PJ, Lambert MF, Simpson AR (2002) Critical depth prediction in straight compound channels. P I Civil Eng Water 154(4): 317-332.
19. Liggett JA, Cunge JA (1975) Numerical methods of solution of the unsteady flow equations. In: Mahmood, Yevjevich (eds) Unsteady flow in open channels, 1st edn. Water Resources Publications, Fort Collins.
20. Macchione F (2008) Model for predicting floods due to earthen dam breaching. I: formulation and evaluation. J Hydraul Eng ASCE 134(12): 1688-1696.
21. Macchione F, Morelli MA (2003) Practical aspects in comparing shock-capturing schemes for dam-break problems. J Hydraul Eng ASCE 129(3): 187-195.
22. Macchione F, Viggiani G (2004) Simple modelling of dam failure in a natural river. Water Manag 157: 53-60.
23. Marks K, Bates P (2000) Integration of high resolution topographic data with floodplain flow models. Hydrol Process 14: 2109-2122.
24. Martín-Vide JP, Moreta JPM, López-Querol S (2008) Improved 1-D modelling in compound meandering channels with vegetated floodplains. J Hydraul Res 46(2): 265-276.
25. Moreta JPM, Martín-Vide JP (2009) Discussion on "Interacting divided channel method for compound channel flow". J Hydraul Eng ASCE 135(11): 1019-1022.
26. Mosquera-Machado S, Ahmad S (2007) Flood hazard assessment of Atrato River in Colombia. Water Resour Manag 21: 591-609.
27. Myers WR, Brennan EK (1990) Flow resistance in compound channels. J Hydraul Res 28(2): 141-155.
28. Pramanik N, Panda RK, Sen D (2010) One dimensional hydrodynamic modeling of river flow using DEM extracted river cross-sections. Water Resour Manag 24: 835-852.
29. Proust S, Bousmar D, Riviere N, Paquier, Paquier Y (2009) Nonuniform flow in compound channel: a 1-D method for assessing water level and discharge distribution. Water Resour Res 45: W12411.
30. Proust S, Bousmar D, Riviere N, Paquier, Zech Y (2010) Energy losses in compound open channels. Adv Water Resour 33: 1-16.
31. Rashid RSM, Chaudhry MH (1995) Flood routing in channels with flood plains. J Hydrol 171: 75-91.
32. Shahapure SS, Eldho TI, Rao EP (2010) Coastal urban flood simulation using FEM, GIS and remote sensing. Water Resour Manag 24: 3615-3640.
33. Sturm TW, Sadiq A (1996) Water surface profiles in compound channels with multiple critical depths. J Hydraul Eng ASCE 122(12): 703-709.
34. Tang X, Knight DW, Samuels PG (1999) Variable parameter Muskingum-Cunge method for flood routing in a compound channel. J Hydraul Res 37(5): 591-641.
35. Tariq JA, Latif M (2010) Improving operational performance of farmers managed distributary canal using SIC hydraulic model. Water Resour Manag 24: 3085-3099.
36. van Prooijen BC, Battjes JA, Uijttewaal WSJ (2005) Momentum exchange in straight uniform compound channel flow. J Hydraul Eng ASCE 131(3): 175-183.
37. Wormleaton PR, Merrett DJ (1990) An improved method of calculation for steady uniform flow in prismatic main channel/flood plain sections. J Hydraul Res 28(2): 157-174.
38. Yen BCY (2002) Open channel flow resistance. J Hydraul Eng ASCE 128(1): 20-39.
39. Ying X, Khan AA, Wang SSY (2004) Upwind conservative scheme for the Saint Venant equations. J Hydraul Eng ASCE 130(10): 977-987.