DOI: 10.5194/hess-22-2007-2018
Scopus记录号: 2-s2.0-85044760815
论文题名: Ensemble modeling of stochastic unsteady open-channel flow in terms of its time-space evolutionary probability distribution - Part 2: Numerical application
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: 2007
结束页码: 2021
语种: 英语
Scopus关键词: Fokker Planck equation
; Monte Carlo methods
; Probability density function
; Probability distributions
; Stochastic systems
; Uncertainty analysis
; Computational time
; Numerical applications
; Roughness coefficient
; Saint Venant equation
; Statistical descriptions
; Stochastic settings
; Uncertain parameters
; Unsteady open channel flows
; Open channel flow
; methodology
; modeling
; Monte Carlo analysis
; numerical method
; numerical model
; open channel flow
; parameter estimation
; probability
; simulation
; spatiotemporal analysis
; statistical analysis
; unsteady flow
英文摘要: The characteristic form of the Saint-Venant equations is solved in a stochastic setting by using a newly proposed Fokker-Planck Equation (FPE) methodology. This methodology computes the ensemble behavior and variability of the unsteady flow in open channels by directly solving for the flow variables' time-space evolutionary probability distribution. The new methodology is tested on a stochastic unsteady open-channel flow problem, with an uncertainty arising from the channel's roughness coefficient. The computed statistical descriptions of the flow variables are compared to the results obtained through Monte Carlo (MC) simulations in order to evaluate the performance of the FPE methodology. The comparisons show that the proposed methodology can adequately predict the results of the considered stochastic flow problem, including the ensemble averages, variances, and probability density functions in time and space. Unlike the large number of simulations performed by the MC approach, only one simulation is required by the FPE methodology. Moreover, the total computational time of the FPE methodology is smaller than that of the MC approach, which could prove to be a particularly crucial advantage in systems with a large number of uncertain parameters. As such, the results obtained in this study indicate that the proposed FPE methodology is a powerful and time-efficient approach for predicting the ensemble average and variance behavior, in both space and time, for an open-channel flow process under an uncertain roughness coefficient. © Author(s) 2018. Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/79347
Appears in Collections: 气候变化事实与影响
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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 2: Numerical application[J]. Hydrology and Earth System Sciences,2018-01-01,22(3)