Two-dimensional meshfree modelling of contaminant transport through saturated porous media using RPIM |
| |
Authors: | R Praveen Kumar G R Dodagoudar |
| |
Institution: | (1) Centre for Environmental Risk Assessment and Remediation (CERAR), University of South Australia, Mawson Lakes Campus, Mawson Lakes, SA, 5095, Australia;(2) Department of Civil Engineering, Indian Institute of Technology Madras, Chennai, 600036, Tamil Nadu, India |
| |
Abstract: | This paper presents a new numerical tool to model the two-dimensional contaminant transport through saturated porous media
using a meshfree method, called 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. The 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 2D meshfree shape functions constructed using thin plate
spline radial basis functions. MATLAB code is developed to obtain the numerical solution. Three numerical examples are presented
and the results are compared with those obtained from the finite element method and analytical solutions. In order to test
the practical applicability and performance of the RPIM, two case studies of contaminant transport through landfill liners
are presented. A good agreement is obtained between the results of the RPIM and the field investigation data. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|