Ensemble modeling of stochastic unsteady open-channel flow in terms of its time–space evolutionary probability  distribution – Part 1: theoretical development

Dib, Alain; Kavvas, M. Levent

doi:10.5194/hess-22-1993-2018

Articles | Volume 22, issue 3

https://doi.org/10.5194/hess-22-1993-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/hess-22-1993-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 22, issue 3

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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Oct 2025	17	19	2	38
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Jan 2026	46	11	8	65
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Cumulative views and downloads (calculated since 09 Aug 2017)

Month	HTML	PDF	XML	Total
Aug 2017	168	22	1	191
Sep 2017	43	10	0	53
Oct 2017	11	8	0	19
Nov 2017	12	5	0	17
Dec 2017	10	7	0	17
Jan 2018	16	5	1	22
Feb 2018	22	5	5	32
Mar 2018	107	28	4	139
Apr 2018	95	24	2	121
May 2018	17	15	1	33
Jun 2018	21	12	0	33
Jul 2018	8	11	0	19
Aug 2018	18	6	0	24
Sep 2018	13	13	0	26
Oct 2018	6	6	0	12
Nov 2018	13	11	1	25
Dec 2018	9	6	1	16
Jan 2019	5	5	0	10
Feb 2019	9	6	0	15
Mar 2019	10	6	1	17
Apr 2019	5	6	0	11
May 2019	14	11	0	25
Jun 2019	19	14	0	33
Jul 2019	11	9	0	20
Aug 2019	9	9	0	18
Sep 2019	5	5	0	10
Oct 2019	19	23	2	44
Nov 2019	9	6	0	15
Dec 2019	7	11	1	19
Jan 2020	10	7	2	19
Feb 2020	13	6	0	19
Mar 2020	9	6	0	15
Apr 2020	16	3	0	19
May 2020	11	3	0	14
Jun 2020	15	7	0	22
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Aug 2020	9	9	3	21
Sep 2020	12	5	0	17
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Nov 2020	7	11	0	18
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Jan 2021	18	9	0	27
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Apr 2024	14	8	2	24
May 2024	12	8	3	23
Jun 2024	32	9	2	43
Jul 2024	19	17	4	40
Aug 2024	29	11	1	41
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Oct 2024	12	12	1	25
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Feb 2025	20	10	0	30
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Apr 2025	13	14	2	29
May 2025	17	9	4	30
Jun 2025	32	13	0	45
Jul 2025	22	20	2	44
Aug 2025	9	17	3	29
Sep 2025	35	18	0	53
Oct 2025	17	19	2	38
Nov 2025	22	19	2	43
Dec 2025	21	14	2	37
Jan 2026	46	11	8	65
Feb 2026	23	15	4	42
Mar 2026	16	9	7	32
Apr 2026	16	6	3	25

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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.