Two-dimensional modelling of contaminant transport through saturated porous media using the radial point interpolation method (RPIM)

A new numerical tool is presented which models the two-dimensional contaminant transport through saturated porous media using a meshfree method called the radial point interpolation method (RPIM) with polynomial reproduction. In RPIM, an approximate solution is constructed entirely in terms of a set...

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Bibliographic Details
Published inHydrogeology journal Vol. 16; no. 8; pp. 1497 - 1505
Main Authors Praveen Kumar, R, Dodagoudar, G. R
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Berlin/Heidelberg : Springer-Verlag 01.12.2008
Springer-Verlag
Springer Nature B.V
Subjects
Aquatic Pollution
Civil engineering
Contaminants
Contamination
Earth and Environmental Science
Earth Sciences
Geochemistry
Geology
Geophysics/Geodesy
Groundwater pollution
Hydrogeology
Hydrology
Hydrology/Water Resources
Meshfree method
Numerical modelling
Porous media
Radial basis function
Waste Water Technology
Water Management
Water Pollution Control
Water Quality/Water Pollution
Weak form
Radial basis function
Weak form
Meshfree method
Numerical modelling
Contamination
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Summary:A new numerical tool is presented which models the two-dimensional contaminant transport through saturated porous media using a meshfree method called the radial point interpolation method (RPIM) with polynomial reproduction. In RPIM, an approximate solution is constructed entirely in terms of a set of nodes and no characterisation of the interrelationship of the nodes is needed. An advection-dispersion equation with sorption is considered to illustrate the applicability of the RPIM. The Galerkin weak form of the governing equation is formulated using two-dimensional meshfree shape functions constructed using thin plate spline radial basis functions. A computer program is developed for the implementation of the RPIM procedure. Three numerical examples are presented and the results are compared with those obtained from the analytical solution and finite element method. The experimental results are also used to validate the approach. The proposed RPIM has generated results with no oscillations and they are insensitive to Peclet constraints.
Bibliography:http://dx.doi.org/10.1007/s10040-008-0325-y
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ISSN:1431-2174
1435-0157
DOI:10.1007/s10040-008-0325-y