Abstract
We present a Lagrangian data assimilation experiment in an open channel flow above a broad-crested weir. The observations consist of trajectories of particles transported by the flow and extracted from a video film, in addition to classical water level measurements. However, the presence of vertical recirculations on both sides of the weir actually conducts to the identification of an equivalent topography corresponding to the lower limit of a surface jet. In addition, results on the identification of the Manning coefficient may allow to detect the presence of bottom recirculations.
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Adams E.W., Johnston J.P.: Effects of the separating shear layer on the reattachment flow structure. Part 2: reattachment lenght and wall shear stress. Exp. Fluid. 6, 493–499 (1988)
Atanov G.A., Evseeva E.G., Meselhe E.A.: Estimation of roughness profile in trapezoidal open channels. J. Hydraul. Eng. 125(3), 309–312 (1999)
Bélanger E., Vincent A.: Data assimilation (4D-VAR) to forecast flood in shallow-waters with sediment erosion. J. Hydrol. 300(1–4), 114–125 (2005)
Carter E.F.: Assimilation of lagrangian data into a numerical model. Dyn. Atm. Oceans 13(3–4), 335–348 (1989)
Chambon, S., Crouzil, A.: Towards correlation-based matching algorithms that are robust near occlusions. In: International Conference on Pattern Recognition–ICPR 2004, pp. 20–23. Cambridge, United-Kingdom (2004)
Creutin J.D., Muste M., Bradley A.A., Kim S.C., Kruger A.: River gauging using PIV techniques: a proof of concept experiment on the Iowa River. J. Hydrol. 277, 182–194 (2003)
Ding Y., Jia Y., Wang S.S.Y.: Identification of Manning’s roughness coefficients in shallow water flows. J. Hydraul. Eng. 130(6), 501–510 (2004)
Fritz H.M., Hager W.H.: Hydraulics of embankment weirs. J. Hydraul. Eng. 124(9), 963–971 (1998)
Gilbert J.C., Lemaréchal C.: Some numerical experiments with variable storage Quasi–Newton algorithms. Math. Program. 45, 407–435 (1989)
Graf, W.H.: Hydraulique Fluviale. Presses Polytechniques et Universitaires Romandes, Lausanne, Switzerland . In french (2000)
Hartnack, J., Madsen, H.: Data assimilation in river flow modelling. In: 4th DHI software conference, 6–8 June 2001. Scanticon Conference Center, Helsingør, Danemark (2001)
Honnorat, M.: Lagrangian data assimilation for river hydraulics simulations. Ph.D. thesis, INP Grenoble, LJK . In French (2007)
Honnorat, M., Marin, J., Monnier, J., Lai, X.: Dassflow v1.0: a variational data assimilation software for 2D river flows. Research Report RR–6150, INRIA (2007)
Honnorat M., Monnier J., Le Dimet F.X.: Lagrangian data assimilation for river hydraulics simulations. Comput. Vis. Sci. 12(5), 235–246 (2009)
Hostache, R., Lai, X., Monnier, J., Puech, C., Paquier, A.: Assimilation of spatial distributed water levels into a shallow-water flood model. Part II: Moselle river. To appear (2007)
Kamachi M., O’Brien J.J.: Continuous data assimilation of drifting buoy trajectory into an equatorial Pacific Ocean model. J. Mar. Syst. 6, 159–178 (1995)
Khatibi R.H., Williams J.J.R., Wormleaton P.R.: Identification problem of open-channel friction parameters. J. Hydraul. Eng. 123(12), 1078–1088 (1997)
Kuznetsov L., Ide K., Jones C.K.R.T.: A method for assimilation of lagrangian data. Month. Weather Rev. 131(10), 2247–2260 (2003)
Lai, X., Monnier, J.: Assimilation of spatial distributed water levels into a shallow-water flood model. Part I: method and toy test case. J. Hydrol. doi:10.1016/j.jhydrol.2009.07.058
Le Dimet F.X., Talagrand O.: Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects. Tellus 38(A), 97–110 (1986)
Lions J.L.: Optimal Control of Systems Governed by Partial Differential Equations. Springer, New York (1971)
Madsen, H., Hartnack, J., Sørensen, J.V.T.: Data assimilation in a flood modelling system using the Ensemble Kalman filter. In: CMWR–Xvi. Copenhaguen, Danemark (2006)
Mazauric, C.: Data assimilation for hydraulic models. parameters estimation, sensitivity analysis and domain decomposition. Ph.D. thesis, Université Joseph Fourier, LMC–IMAG . In french (2003)
Muste M., Xiong Z., Schöne J., Li Z.: Validation and extension of image velocimetry capabilities for flow diagnostic in hydraulic modeling. J. Hydraul. Eng. 130(3), 175–185 (2004)
Nakayama A., Yokojima S.: Modeling free-surface fluctuation effects for calculation of turbulent open-channel flows. Environ. Fluid Mech. 3, 1–21 (2003)
Nodet M.: Variational assimilation of lagrangian data in oceanography. Inverse Probl. 22, 245–263 (2006)
Roux H., Dartus D.: Parameter identification using optimization techniques in open-channel inverse problems. J. Hydraul. Res. 43(3), 311–320 (2005)
Salman H., Kuznetsov L., Jones C.K.R.T.: A method for assimilating lagrangian data into a shallow-water-equation ocean model. Month. Weather Rev. 134(4), 1081–1101 (2006)
Talagrand, O., Courtier, P.: Variational assimilation of meteorological observations with the adjoint vorticity equation. I observations with the adjoint vorticity equation. I : Theory. Quart. J. R. Meteorol. Soc. 113(1311–1328) (1987)
Wu S., Rajaratnam N.: Submerged flow regimes of rectangular sharp-crested weirs. J. Hydraul. Eng. 122(7), 412–414 (1996)
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Honnorat, M., Monnier, J., Rivière, N. et al. Identification of equivalent topography in an open channel flow using Lagrangian data assimilation. Comput. Visual Sci. 13, 111–119 (2010). https://doi.org/10.1007/s00791-009-0130-8
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DOI: https://doi.org/10.1007/s00791-009-0130-8