Mathematical development and verification of a non-orthogonal finite volume model for groundwater flow applications

被引：22

作者：

Loudyi, D. ^{[1
]}

Falconer, R. A. ^{[1
]}

Lin, B. ^{[1
]}

机构：

[1] Cardiff Univ, Cardiff Sch Engn, Hydroenvironm Res Ctr, Cardiff CF24 3AA, S Glam, Wales

来源：

ADVANCES IN WATER RESOURCES | 2007年 / 30卷 / 01期

关键词：

finite volume; groundwater flow; non-orthogonal grid; finite difference comparison; gradient approximation;

D O I：

10.1016/j.advwatres.2006.02.010

中图分类号：

TV21 [水资源调查与水利规划];

学科分类号：

081501 ;

摘要：

The mathematical development of a two-dimensional finite volume model for groundwater flow is described. Based on the hydraulic equations for saturated flow, the model deploys an improved least squares gradient reconstruction technique to evaluate the gradient at the control volume face, derived from the application of the finite volume formulation and using a cell-centred structured quadrilateral grid. The model has been compared to a finite difference model with orthogonal grids. The effects of grid non-orthogonality and skewness are investigated. The model was verified by comparison with analytical solutions and the results for a finite difference model. The finite volume model was then applied successfully to an aquifer discharging in a section of the River Tawe, UK, and the results were compared with results from MODFLOW and observed hydraulic heads. Results of the numerical model tests and field exercise showed that the use of finite volume method provides modellers with a consistent substitute for the finite difference methods with the same ease of use and an improved flexibility and accuracy in simulating irregular boundary geometries. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：29 / 42

页数：14

共 53 条

[1] An introduction to multipoint flux approximations for quadrilateral grids [J].

Aavatsmark, I .

COMPUTATIONAL GEOSCIENCES, 2002, 6 (3-4) :405-432

[2]

*AMT ENG INC, 1999, TECPL MESH GEN VERS

[3]

ANDERSEN PF, 1993, EPA600R93010

[4]

Anderson M.P., 1992, APPL GROUNDWATER MOD

[5]

[Anonymous], 1984, US GEOLOGICAL SURVEY, DOI DOI 10.3133/WRI844369

[6]

[Anonymous], 1988, FUNDAMENTALS NUMERIC

[7]

[Anonymous], 1980, SERIES COMPUTATIONAL, DOI [DOI 10.1201/9781482234213, 10.1201/9781482234213]

[8] Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences [J].

Arbogast, T ;

Wheeler, MF ;

Yotov, I .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1997, 34 (02) :828-852

[9] Modeling axially symmetric and nonsymmetric flow to a well with MODFLOW, and application to Goddard2 well test, Boise, Idaho [J].

Barrash, W ;

Dougherty, ME .

GROUND WATER, 1997, 35 (04) :602-611

[10]

Bear J., 1988, DYNAMICS FLUIDS PORO

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