气候变化领域集成服务门户(CCPortal): Probabilistic Godunov-type hydrodynamic modelling under multiple uncertainties: robust wavelet-based formulations

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DOI	10.1016/j.advwatres.2020.103526
	Probabilistic Godunov-type hydrodynamic modelling under multiple uncertainties: robust wavelet-based formulations
	Shaw J.; Kesserwani G.; Pettersson P.
发表日期	2020
ISSN	0309-1708
卷号	137
英文摘要	Intrusive stochastic Galerkin methods propagate uncertainties in a single model run, eliminating repeated sampling required by conventional Monte Carlo methods. However, an intrusive formulation has yet to be developed for probabilistic hydrodynamic modelling incorporating robust wetting-and-drying and stable friction integration under joint uncertainties in topography, roughness, and inflow. Robustness measures are well-developed in deterministic models, but rely on local, nonlinear operations that can introduce additional stochastic errors that destabilise an intrusive model. This paper formulates an intrusive hydrodynamic model using a multidimensional tensor product of Haar wavelets to capture fine-scale variations in joint probability distributions and extend the validity of robustness measures from the underlying deterministic discretisation. Probabilistic numerical tests are designed to verify intrusive model robustness, and compare accuracy and efficiency against a conventional Monte Carlo approach and two other alternatives: a nonintrusive stochastic collocation formulation sharing the same tensor product wavelet basis, and an intrusive formulation that truncates the basis to gain efficiency under multiple uncertainties. Tests reveal that: (i) A full tensor product basis is required to preserve intrusive model robustness, while the nonintrusive counterpart achieves identically accurate results at a reduced computational cost; and, (ii) the Haar wavelet basis requires at least three levels of refinements per uncertainty dimension to reliably capture complex probability distributions. Accompanying model software and simulation data are openly available online. © 2020
关键词	Computer software Drying Efficiency Friction Galerkin methods Hydrodynamics Monte Carlo methods Stochastic models Stochastic systems Tensors Topography Uncertainty analysis Wetting Basis functions Efficiency and reliability Finite-volume formulation Multidimensional uncertainty Stochastic approach WETTING AND DRYING Probability distributions accuracy assessment finite volume method hydrodynamics Monte Carlo analysis probability reliability analysis stochasticity uncertainty analysis wavelet analysis
语种	英语
来源机构	Advances in Water Resources
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/131841
推荐引用方式 GB/T 7714	Shaw J.,Kesserwani G.,Pettersson P.. Probabilistic Godunov-type hydrodynamic modelling under multiple uncertainties: robust wavelet-based formulations[J]. Advances in Water Resources,2020,137.
APA	Shaw J.,Kesserwani G.,&Pettersson P..(2020).Probabilistic Godunov-type hydrodynamic modelling under multiple uncertainties: robust wavelet-based formulations.,137.
MLA	Shaw J.,et al."Probabilistic Godunov-type hydrodynamic modelling under multiple uncertainties: robust wavelet-based formulations".137(2020).