globalchange  > 气候变化事实与影响
DOI: 10.5194/hess-22-1993-2018
Scopus记录号: 2-s2.0-85044739819
论文题名:
Ensemble modeling of stochastic unsteady open-channel flow in terms of its time-space evolutionary probability distribution - Part 1: Theoretical development
作者: Dib A; , Kavvas M; L
刊名: Hydrology and Earth System Sciences
ISSN: 10275606
出版年: 2018
卷: 22, 期:3
起始页码: 1993
结束页码: 2005
语种: 英语
Scopus关键词: Fokker Planck equation ; Monte Carlo methods ; Numerical methods ; Probability distributions ; Stochastic systems ; Computational expense ; Governing equations ; Monte Carlo approach ; Roughness coefficient ; Saint Venant equation ; Stochastic framework ; Theoretical development ; Unsteady open channel flows ; Open channel flow ; methodology ; modeling ; Monte Carlo analysis ; numerical method ; open channel flow ; probability ; simulation ; stochasticity ; theoretical study ; unsteady flow
英文摘要: The Saint-Venant equations are commonly used as the governing equations to solve for modeling the spatially varied unsteady flow in open channels. The presence of uncertainties in the channel or flow parameters renders these equations stochastic, thus requiring their solution in a stochastic framework in order to quantify the ensemble behavior and the variability of the process. While the Monte Carlo approach can be used for such a solution, its computational expense and its large number of simulations act to its disadvantage. This study proposes, explains, and derives a new methodology for solving the stochastic Saint-Venant equations in only one shot, without the need for a large number of simulations. The proposed methodology is derived by developing the nonlocal Lagrangian-Eulerian Fokker-Planck equation of the characteristic form of the stochastic Saint-Venant equations for an open-channel flow process, with an uncertain roughness coefficient. A numerical method for its solution is subsequently devised. The application and validation of this methodology are provided in a companion paper, in which the statistical results computed by the proposed methodology are compared against the results obtained by the Monte Carlo approach. © Author(s) 2018.
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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/79346
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作者单位: Department of Civil and Environmental Engineering, University of California, Davis, CA, United States

Recommended Citation:
Dib A,, Kavvas M,L. Ensemble modeling of stochastic unsteady open-channel flow in terms of its time-space evolutionary probability distribution - Part 1: Theoretical development[J]. Hydrology and Earth System Sciences,2018-01-01,22(3)
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