Articles | Volume 22, issue 3
Hydrol. Earth Syst. Sci., 22, 1993–2005, 2018
https://doi.org/10.5194/hess-22-1993-2018
Hydrol. Earth Syst. Sci., 22, 1993–2005, 2018
https://doi.org/10.5194/hess-22-1993-2018

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 1: theoretical development

Alain Dib and M. Levent Kavvas

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Latest update: 09 Dec 2021
Short summary
A new method is proposed to solve the stochastic unsteady open-channel flow system in only one single simulation, as opposed to the many simulations usually done in the popular Monte Carlo approach. The derivation of this new method gave a deterministic and linear Fokker–Planck equation whose solution provided a powerful and effective approach for quantifying the ensemble behavior and variability of such a stochastic system, regardless of the number of parameters causing its uncertainty.