Articles | Volume 22, issue 3
https://doi.org/10.5194/hess-22-2007-2018
https://doi.org/10.5194/hess-22-2007-2018
Research article
 | 
28 Mar 2018
Research article |  | 28 Mar 2018

Ensemble modeling of stochastic unsteady open-channel flow in terms of its time–space evolutionary probability distribution – Part 2: numerical application

Alain Dib and M. Levent Kavvas

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Cited articles

Bellin, A., Salandin, P., and Rinaldo, A.: Simulation of dispersion in heterogeneous porous formations - statistics, 1st-order theories, convergence of computations, Water Resour. Res., 28, 2211–2227, https://doi.org/10.1029/92wr00578, 1992.
Cayar, M. and Kavvas, M. L.: Symmetry in nonlinear hydrologic dynamics under uncertainty: ensemble modeling of 2d Boussinesq equation for unsteady flow in heterogeneous aquifers, J. Hydrol. Eng., 14, 1173–1184, https://doi.org/10.1061/(Asce)He.1943-5584.0000112, 2009a.
Cayar, M. and Kavvas, M. L.: Ensemble average and ensemble variance behavior of unsteady, one-dimensional groundwater flow in unconfined, heterogeneous aquifers: an exact second-order model, Stoch. Environ. Res. Risk. A., 23, 947–956, https://doi.org/10.1007/s00477-008-0263-1, 2009b.
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Chaudhry, M. H.: Open-channel flow, in: 2nd Edn., Springer US, New York, 523 pp., 2008.
Short summary
A newly proposed method is applied to solve a stochastic unsteady open-channel flow system (with an uncertain roughness coefficient) in only one simulation. After comparing its results to those of the Monte Carlo simulations, the new method was found to adequately predict the temporal and spatial evolution of the probability density of the flow variables of the system. This revealed the effectiveness, strength, and time efficiency of this new method as compared to other popular approaches.