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Examples of numerical simulations of two-dimensional unsaturated flow with VS2DI code using different interblock conductivity averaging schemes
Abstract
Flow in unsaturated porous media is commonly described by the Richards equation. This equation is strongly nonlinear due to interrelationships between water pressure head (negative in unsaturated conditions), water content and hydraulic conductivity. The accuracy of numerical solution of the Richards equation often depends on the method used to estimate average hydraulic conductivity between neighboring nodes or cells of the numerical grid. The paper presents application of the computer simulation code VS2DI to three test problems concerning infiltration into initially dry medium, using various methods for inter-cell conductivity calculation (arithmetic mean, geometric mean and upstream weighting). It is shown that the influence of the averaging method can be very large for coarse grid, but diminishes as the cell size decreases. Overall, the arithmetic average produced the most reliable results for coarse grids. Moreover, the difference between results obtained with various methods is a convenient indicator of the adequacy of grid refinement.
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1515/logos-2015-0015
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
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GEOLOGOS
no. 21,
pages 161 - 167,
ISSN: 1426-8981 - Language:
- English
- Publication year:
- 2015
- Bibliographic description:
- Szymkiewicz A., Tisler W., Burzyński K.: Examples of numerical simulations of two-dimensional unsaturated flow with VS2DI code using different interblock conductivity averaging schemes// GEOLOGOS. -Vol. 21., nr. 3 (2015), s.161-167
- DOI:
- Digital Object Identifier (open in new tab) 10.1515/logos-2015-0015
- Verified by:
- Gdańsk University of Technology
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