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

Related authors

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
Hydrol. Earth Syst. Sci., 22, 2007–2021, https://doi.org/10.5194/hess-22-2007-2018,https://doi.org/10.5194/hess-22-2007-2018, 2018
Short summary
Maximization of the precipitation from tropical cyclones over a target area through physically based storm transposition
Mathieu Mure-Ravaud, Alain Dib, M. Levent Kavvas, and Elena Yegorova
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-665,https://doi.org/10.5194/hess-2017-665, 2018
Preprint withdrawn
Short summary

Related subject area

Subject: Engineering Hydrology | Techniques and Approaches: Stochastic approaches
Stochastic simulation of streamflow and spatial extremes: a continuous, wavelet-based approach
Manuela I. Brunner and Eric Gilleland
Hydrol. Earth Syst. Sci., 24, 3967–3982, https://doi.org/10.5194/hess-24-3967-2020,https://doi.org/10.5194/hess-24-3967-2020, 2020
Short summary
Objective functions for information-theoretical monitoring network design: what is optimal?
Hossein Foroozand and Steven V. Weijs
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2020-148,https://doi.org/10.5194/hess-2020-148, 2020
Revised manuscript accepted for HESS
Short summary
Numerical investigation on the power of parametric and nonparametric tests for trend detection in annual maximum series
Vincenzo Totaro, Andrea Gioia, and Vito Iacobellis
Hydrol. Earth Syst. Sci., 24, 473–488, https://doi.org/10.5194/hess-24-473-2020,https://doi.org/10.5194/hess-24-473-2020, 2020
Short summary
Spatially dependent flood probabilities to support the design of civil infrastructure systems
Phuong Dong Le, Michael Leonard, and Seth Westra
Hydrol. Earth Syst. Sci., 23, 4851–4867, https://doi.org/10.5194/hess-23-4851-2019,https://doi.org/10.5194/hess-23-4851-2019, 2019
Short summary
Technical note: Stochastic simulation of streamflow time series using phase randomization
Manuela I. Brunner, András Bárdossy, and Reinhard Furrer
Hydrol. Earth Syst. Sci., 23, 3175–3187, https://doi.org/10.5194/hess-23-3175-2019,https://doi.org/10.5194/hess-23-3175-2019, 2019
Short summary

Cited articles

Abbott, M. B.: An introduction to the method of characteristics, American Elsevier, New York, 243 pp., 1966.
Abbott, M. B. and Ionescu, F.: On the numerical computation of nearly horizontal flows, J. Hydraul. Res., 5, 97–117, https://doi.org/10.1080/00221686709500195, 1967.
Amein, M.: Streamflow routing on computer by characteristics, Water Resour. Res., 2, 123–130, https://doi.org/10.1029/WR002i001p00123, 1966.
Barré de Saint-Venant, A.-J.-C.: Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leur lit, C. R. Acad. Sci., 73, 147–154, 1871.
Beam, R. M. and Warming, R. F.: Implicit finite-difference algorithm for hyperbolic systems in conservation-law form, J. Comput. Phys., 22, 87–110, https://doi.org/10.1016/0021-9991(76)90110-8, 1976.
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.