Coupling surface and subsurface flows in a depth averaged flood wave model

Journal of Hydrology

Volumn 337, Issue 1-2, 2007, Pages 147-158

  Liang, Dongfang ^a   Falconer, Roger A ^b   Lin, Binliang ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

Dam break; Flood modelling; Groundwater; MacCormack scheme; Shallow water; Shock capturing

Indexed keywords

COMPUTER SIMULATION; FLOODS; MATHEMATICAL MODELS; NUMERICAL METHODS; POROUS MATERIALS;

DAM BREAK; FLOOD MODELING; SHALLOW WATER; SHOCK CAPTURING;

GROUNDWATER FLOW;

COMPUTER SIMULATION; FLOODS; GROUNDWATER FLOW; MATHEMATICAL MODELS; NUMERICAL METHODS; POROUS MATERIALS;

BOUSSINESQ EQUATION; DAM FAILURE; FLOOD FORECASTING; FLOOD WAVE; FREE SURFACE FLOW; GROUNDWATER FLOW; NUMERICAL MODEL; SHALLOW WATER; SUBSURFACE FLOW; SURFACE FLUX; TWO-DIMENSIONAL MODELING; UNCONFINED AQUIFER; WAVE MODELING;

EID: 33947602467     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2007.01.045     Document Type: Article

References (19)

1. Causon D.M., Ingram D.M., Mingham C.G., Yang G., and Pearson R.V. Calculation of shallow water flows using a cartesian cut cell approach. Advances in Water Resources 23 (2000) 545-562
2. Cooper, H.H. Jr., Rorabaugh, M.I., 1963. Ground-water movements and bank storage due to flood stages in surface streams. US Geological survey, Water Supply Paper 1536-J.
3. Ebrahimi, K., 2004. Development of an integrated free surface and groundwater flow model. Ph.D. thesis, Cardiff University.
4. Fiedler F.R., and Ramirez J.A. A numerical method for simulating discontinuous shallow flow over an infiltrating surface. International Journal for Numerical Methods in Fluids 32 (2000) 219-240
5. Freeze R.A. Role of subsurface flow I generating surface runoff: 1. Base flow contributions to channel flow. Water Resources Research 8 3 (1972) 609-623
6. Guinot V., and Soares-Frazao S. Flux and source term discretization in two-dimensional shallow water models with porosity on unstructured grids. International Journal for Numerical Methods in Fluids 50 (2006) 309-345
7. Gunduz O., and Aral M.M. River networks and groundwater flow: a simultaneous solution of a coupled system. Journal of Hydrology 301 (2005) 216-234
8. ICE. 2001. Learning to live with rivers. ICE, London.
9. Liang D., Falconer R.A., and Lin B. Comparison between TVD-MacCormack and ADI-type solvers of the shallow water equations. Advances in Water Resources 29 12 (2006) 1833-1845
10. Liang D., Lin B., and Falconer R.A. Simulation of rapidly varying flow using an efficient TVD-MacCormack scheme. International journal for numerical methods in fluids 53 (2007) 811-826
11. Liang D., Lin B., and Falconer R.A. A boundary-fitted numerical model for flood routing with shock-capturing capability. Journal of hydrology 332 (2007) 477-486
12. Liang Q., Borthwick A.G.L., and Stelling G. Simulation of dam-and dyke-break hydrodynamics on dynamically adaptive quadtree grids. International Journal for Numerical Methods in Fluids 46 (2004) 127-162
13. Morita M., and Yen B.C. Modelling of conjunctive two-dimensional surface - three-dimensional subsurface flows. Journal of Hydraulic Engineering 128 (2002) 184-200
14. Pinder G.F., and Sauer S.P. Numerical simulation of flood wave modification due to bank storage effects. Water Resources Research 7 1 (1971) 63-70
15. Singh V., and Bhallamudi S.M. Complete hydrodynamic border-strip irrigation model. Journal of Irrigation and Drainage Engineering 122 4 (1996) 189-197
16. Sparks, T., 2005. Integrated modelling of 2-D surface water and groundwater flow with contaminant transport. In: Proceedings of 31st IAHR congress, Seoul, pp. 6465-6476.
17. Vander Kwaak J.E., and Loague K. Hydrologic-response simulations for the R-5 catchment with a comprehensive physics-based model. Water Resources Research 37 4 (2001) 999-1013
18. Wang J.S., Ni H.G., and He Y.S. Finite-difference TVD scheme for computation of dam-break problems. Journal of Hydraulic Engineering 126 4 (2000) 253-262
19. Winter, T.C., Harvey, J.W., Lehn Franke, O. and Alley, W.M., 1998. Ground water and surface water - a single resource. US Geological Survey Circular 1139, US Department of the Interior.