Error analysis of a multi-cell groundwater model

Rozos, E; Koutsoyiannis, D

dc.contributor.author	Rozos, E	en
dc.contributor.author	Koutsoyiannis, D	en
dc.date.accessioned	2014-03-01T01:33:23Z
dc.date.available	2014-03-01T01:33:23Z
dc.date.issued	2010	en
dc.identifier.issn	0022-1694	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20405
dc.subject	Finite difference method	en
dc.subject	Finite Volume Method	en
dc.subject	Integrated finite difference method	en
dc.subject	Multi-cell groundwater models	en
dc.subject	Representational error	en
dc.subject	Truncation error	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Geosciences, Multidisciplinary	en
dc.subject.classification	Water Resources	en
dc.subject.other	Finite volume	en
dc.subject.other	Integrated finite difference method	en
dc.subject.other	Multicell	en
dc.subject.other	Representational error	en
dc.subject.other	Truncation errors	en
dc.subject.other	Aquifers	en
dc.subject.other	Cells	en
dc.subject.other	Cytology	en
dc.subject.other	Error analysis	en
dc.subject.other	Finite difference method	en
dc.subject.other	Finite volume method	en
dc.subject.other	Groundwater resources	en
dc.subject.other	Models	en
dc.subject.other	Computer simulation	en
dc.subject.other	aquifer	en
dc.subject.other	error analysis	en
dc.subject.other	finite difference method	en
dc.subject.other	finite volume method	en
dc.subject.other	flow modeling	en
dc.subject.other	groundwater flow	en
dc.subject.other	parameterization	en
dc.title	Error analysis of a multi-cell groundwater model	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jhydrol.2010.07.036	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jhydrol.2010.07.036	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	The basic advantages of the multi-cell groundwater models are the parsimony, speed, and simplicity that make them ideal for hydrological applications, particularly when data are insufficient and/or repeated simulations are needed. However, the multi-cell models, in their basic version, are conceptual models and their parameters do not have physical meaning. This disadvantage may be overcome by the Narasimhan and Witherspoon's integrated finite difference method, which, however, demands that the cells' geometry conforms to the equipotential and no-flow lines. This restriction cannot be strictly satisfied in every application. Particularly in transient conditions, a mesh with static geometry cannot conform constantly to the varying flow kinematics. In this study, we analyse the error when this restriction is not strictly satisfied and we identify the contribution of this error to the overall error of a multi-cell model. The study is experimental based on a synthetic aquifer with characteristics carefully selected so as to be representative of real-world situations, but obviously the results of these investigations cannot be generalized to every type of aquifer. Nonetheless these results indicate that the error due to non-conformity to the aforementioned restriction plays a minor role in the overall model error and that the overall error of the multi-cell models with conditionally designed cells is comparable to the error of finite difference models with much denser discretization. Therefore the multi-cell models should be considered as an alternative option, especially in the cases where a discretization with a flexible mesh is indicated or in the cases where repeated model runs are required. (c) 2010 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Hydrology	en
dc.identifier.doi	10.1016/j.jhydrol.2010.07.036	en
dc.identifier.isi	ISI:000282860800003	en
dc.identifier.volume	392	en
dc.identifier.issue	1-2	en
dc.identifier.spage	22	en
dc.identifier.epage	30	en