Data assimilation (4D-VAR) to forecast flood in shallow-waters with sediment erosion

Journal of Hydrology

Volumn 300, Issue 1-4, 2005, Pages 114-125

  Bélanger, Eric ^a   Vincent, Alain ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Adjoint equations; Data assimilation; Lyapunov exponents; Sediment transport; Shallow water environment

Indexed keywords

ALGORITHMS; DATA REDUCTION; EROSION; HYDROLOGY; LAGRANGE MULTIPLIERS; LYAPUNOV METHODS; METEOROLOGY; SEDIMENT TRANSPORT; SEDIMENTS; WEATHER FORECASTING;

COMPUTATIONAL GRID; SEDIMENT EROSION; SHALLOW WATERS;

FLOODS;

DATA ASSIMILATION; FLOOD FORECASTING; HYDROLOGICAL MODELING; SEDIMENT TRANSPORT; SHALLOW WATER; SOIL EROSION;

EID: 9944264602     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2004.06.009     Document Type: Article

References (41)

1. Arakawa A. Numerical simulation of large scale atmospheric motions. S.I.A.M.-A.M.S. Proceedings. 1970
2. Beffa C., Faeh R. Flood propagation on mobile beds under mountainous flow conditions. Molinaro P., Natale L. Modelling of Flood Propagation over Initially Dry Areas. 1994;327-334
3. Bhallamudi S.M., Chaudhry M.H. Numerical modeling of aggradation and degradation in alluvial channels. Journal of Hydraulic Engineering. 117:(9):1991;1145-1164
4. Brooks G.R., Lawrence D.E. Geomorphic effects of flooding along reaches of selected rivers in the Saguenay region. Québec, July 1996. Géographie physique et Quaternaire. 54:(3):2000;281-299
5. Budgell W.P. Nonlinear data assimilation for Shallow water equations in branched channels. Journal of Geophysical Research. 91:(C9):1986;10633-10644
6. Burden R.L., Faires J.D. Numerical Analysis. 1993;PWS Publishing Company, Boston
7. Chaudhry M.H. Open-Channel Flow. 1993;Prentice-Hall, Englewood Cliffs
8. Courtier P. Variational methods. Ghil M., Ide K., Bennett A., Courtier P., Kimoto M., Nagata M., Saiki M., Sato N. Data Assimilation in Meteorology and Oceanography: Theory and Practice. 1997;211-218 Meteorological Society of Japan, Tokyo
9. Courtier P., Talagrand O. Variational assimilation of meteorological observations with the direct and adjoint shallow-water equations. Tellus. 42A:1990;531-549
10. Daley R. Atmospheric Data Analysis. Cambridge Atmospheric and Space Science Series. 1991;Cambridge University Press, Cambridge
11. Dingman S.L. Fluvial Hydrology. 1984;Freeman, New York
12. Ehrendorfer M. Four-dimensional data assimilation: comparison of variational and sequential algorithms. Quarterly Journal of The Royal Meteorological Society. 118:1992;673-713
13. Errico R.M. What is an adjoint model? Bulletin of the American Meteorological Society. 78:(11):1997;2577-2591
14. Espinoza J., Rojas J., Martínez-Austria P., Caldiño I. Experimental study of bed forms in shallow channel. Rahman M., Brebbia C.A. Advances in Fluid Mechanics. vol. 9:1996;245-254 Computational Mechanics Publications, Southampton
15. Holly F.M. Jr., Rahuel J.L. New numerical/physical framework for mobile-bed modelling. Journal of Hydrological Research. 28:(4):1990;401-416
16. INRS-Eau, 1997 Simulation hydrodynamique et bilan sédimentaire des rivières Chicoutimi et des Ha! Ha! suite aux crues exceptionnelles de juillet 1996, Rapport INRS-Eau No. R487, http://www.inrs-eau.uquebec.ca/ saguenay/.
17. Kalnay E. Atmospheric Modeling. Data Assimilation and Predictability. 2002;Cambridge University Press. Chapter 6
18. Kalnay E., Ki Park S., Pu Z.-X., Gao J. Application of the quasi-inverse method to data assimilation. Monthly Weather Review. 128:(3):2000;864-875
19. Kantha L.H., Clayson C.A. Numerical Models of Oceans and Oceanic Processes. International Geophysics Series. vol. 66:2000;Academic Press. Chapter 14
20. Katopodes N.D., Bradford S. Mechanics of Overland Flow. International Workshop on Numerical Modeling of Hydrodynamic Systems. Zaragoza, Spain. 1999;. pp. 1-23
21. Lapointe M.F. L'évolution du lit du Saint-Laurent dans le secteur de Contrecœur (Québec) depuis un siècle. Géographie physique et Quaternaire. 48:(1):1994;39-50
22. Lapointe M.F., Secretan Y., Driscoll S.N., Bergeron N., Leclerc M. Response of the Ha! Ha! River to the flood of July 1996 in the Saguenay Region of Quebec: large-scale avulsion in a glaciated valley. Water Resources Research. 34:(9):1998;2383-2392
23. Le Dimet F.-X., Talagrand O. Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects. Tellus. 38A:1986;97-110
24. Lions J.L. Optimal Control of Systems Governed by Partial Differential Equations. 1971;Springer, Berlin
25. Lorenz E.N. Deterministic nonperiodic flow. Journal of the Atmospheric Sciences. 20:(2):1963;130-141
26. Lorenz E.N. The growth of errors in prediction. Ghil M. Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics. 1985;243-265 Italian Physical Society, North-Holland
27. Maidment D.R. Handbook of Hydrology. 1993;McGraw-Hill, New-York
28. Nicolet R., Roy L., Arès R., Dufour J., Marinier G., Morin G. Rapport: Commission scientifique et technique sur la gestion de barrages. Québec. 1997
29. Pauwels V.R.N., Hoeben R., Verhoest N.E.C., De Troch F.P. The importance of the spatial patterns of remotely sensed soil moisture in the improvement of discharge predictions for small-scale basins through data assimilation. Journal of Hydrology. 251:2001;88-102
30. Sadourny R. The dynamics of finite-difference models of the shallow-water equations. Journal of the Atmospheric Sciences. 32:(4):1975;680-689
31. Sanders B.F., Katopodes N.D. Control of canal flow by adjoint sensitivity method. Journal of irrigation and drainage engineering. 125:(5):1999;287-297
32. Sanders B.F., Katopodes N.D. Adjoint sensitivity analysis for shallow-water wave control. Journal of Engineering Mechanics. 126:(9):2000;909-919
33. Schröter J., Seiler U., Wenzel M. Variational assimilation of GEOSAT data into a eddy-resolving model of the Gulf Stream extension area. Journal of Physical Oceanography. 23:(5):1993;925-953
34. Smith L.A. Disentangling uncertainty and error: on the predictability of nonlinear systems. Mees A. Nonlinear Dynamics and Statistics. 2001;31-64 Birkhäuser, Boston
35. Smith L.A., Ziehmann C., Fraedrich K. Uncertainty dynamics and predictability in chaotic systems. Quarterly Journal of The Royal Meteorological Society. 125:1999;2855-2886
36. Talagrand O. Assimilation of observations, an introduction. Ghil M., Ide K., Bennett A., Courtier P., Kimoto M., Nagata M., Saiki M., Sato N. Data Assimilation in Meteorology and Oceanography: Theory and Practice. 1997;191-209 Meteorological Society of Japan, Tokyo
37. Talagrand O., Courtier P. Variational assimilation of meteorological observations with the adjoint vorticity equation I: theory. Quarterly Journal of The Royal Meteorological Society. 113:1987;1311-1328
38. van Rijn L.C. Sediment transport, Part II: bed load transport. Journal of Hydraulic Engineering. 110:(10):1984;1431-1456
39. Verlaan M., Heemink A.W. Data assimilation schemes for non-linear shallow water flow model. Rahman M., Brebbia C.A. Advances in Fluid Mechanics. vol. 9:1996;277-286 Computational Mechanics Publications, Southampton
40. Wolf T., Sénégas J., Bertino L., Wackernagel H. Application of data assimilation to three-dimensional hydrodynamics: the case of the Odra lagoon. Monestiez P., Allard D., Froidevaux R. Proceedings of the Third European Conference on Geostatistics for Environmental Applications. 2000;157-168 Avignon, France
41. Zhou J.G., Stansby P.K. 2D shallow water flow model for the hydraulic jump. International Journal for Numerical Methods in Fluids. 29:(4):1999;375-387