气候变化领域集成服务门户(CCPortal): Ensemble modeling of stochastic unsteady open-channel flow in terms of its time-space evolutionary probability distribution

CCPortal

DOI	10.5194/hess-22-1993-2018
	Ensemble modeling of stochastic unsteady open-channel flow in terms of its time-space evolutionary probability distribution - Part 1: Theoretical development
	Dib A.; Kavvas M.L.
发表日期	2018
ISSN	1027-5606
起始页码	1993
结束页码	2005
卷号	22 期号:3
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.
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
来源期刊	Hydrology and Earth System Sciences
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/160071
作者单位	Dib, A., Department of Civil and Environmental Engineering, University of California, Davis, CA 95616, United States; Kavvas, M.L., Department of Civil and Environmental Engineering, University of California, Davis, CA 95616, United States
推荐引用方式 GB/T 7714	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],2018,22(3).
APA	Dib A.,&Kavvas M.L..(2018).Ensemble modeling of stochastic unsteady open-channel flow in terms of its time-space evolutionary probability distribution - Part 1: Theoretical development.Hydrology and Earth System Sciences,22(3).
MLA	Dib A.,et al."Ensemble modeling of stochastic unsteady open-channel flow in terms of its time-space evolutionary probability distribution - Part 1: Theoretical development".Hydrology and Earth System Sciences 22.3(2018).