气候变化领域集成服务门户(CCPortal): Numerical benchmark study for flow in highly heterogeneous aquifers

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DOI	10.1016/j.advwatres.2020.103558
	Numerical benchmark study for flow in highly heterogeneous aquifers
	Alecsa C.D.; Boros I.; Frank F.; Knabner P.; Nechita M.; Prechtel A.; Rupp A.; Suciu N.
发表日期	2020
ISSN	0309-1708
卷号	138
英文摘要	This article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in heterogeneous aquifers. Finite difference, finite element, discontinuous Galerkin, spectral, and random walk methods are tested on two-dimensional benchmark flow problems. Realizations of log-normal hydraulic conductivity fields are generated by Kraichnan algorithms in closed form as finite sums of random periodic modes, which allow direct code verification by comparisons with manufactured reference solutions. The quality of the methods is assessed for increasing number of random modes and for increasing variance of the log-hydraulic conductivity fields with Gaussian and exponential correlation. Experimental orders of convergence are calculated from successive refinements of the grid. The numerical methods are further validated by comparisons between statistical inferences obtained from Monte Carlo ensembles of numerical solutions and theoretical first-order perturbation results. It is found that while for Gaussian correlation of the log-conductivity field all the methods perform well, in the exponential case their accuracy deteriorates and, for large variance and number of modes, the benchmark problems are practically not solvable with reasonably large computing resources, for all the methods considered in this study. © 2020
关键词	Aquifers Finite difference method Finite element method Flow of fluids Galerkin methods Hydraulic conductivity Hydrogeology Monte Carlo methods Random processes Accuracy Computational feasibility Convergence Darcy flows Discontinuous galerkin Global random walk Spectral methods Numerical methods accuracy assessment aquifer benchmarking feasibility study finite difference method Galerkin method numerical method random walk method spectral analysis steady flow
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/131823
推荐引用方式 GB/T 7714	Alecsa C.D.,Boros I.,Frank F.,et al. Numerical benchmark study for flow in highly heterogeneous aquifers[J]. Advances in Water Resources,2020,138.
APA	Alecsa C.D..,Boros I..,Frank F..,Knabner P..,Nechita M..,...&Suciu N..(2020).Numerical benchmark study for flow in highly heterogeneous aquifers.,138.
MLA	Alecsa C.D.,et al."Numerical benchmark study for flow in highly heterogeneous aquifers".138(2020).