A Meshless Solution Of Two Dimensional
Density-driven Groundwater Flow
Author(s)
K. Kovarik
Abstract
The boundary element method (BEM) is a very useful method used for numerical
models of groundwater flow. However, this method was aimed to solve problems
in homogeneous domains and it presents even greater difficulties than the
other numerical methods when coping with the nonhomogeneities which are so
characteristic in the groundwater hydraulics. The meshless LBIE method is a
very promising meshless scheme. This method is characterized as meshless since
distributed nodal points, covering the domain, are employed. Nodal points can be
randomly spread over the domain. Every node is surrounded by a simple surface
(circle) centered at the collocation point and the boundary integral equation is
written on this local boundary. The unknown variables, in the local sub-domains,
are approximated by some of the interpolationmethods to obtain a system of linear
equations. Solving this system of equations leads to the numerical solution for the
main problem. Several authors used the moving least squares (MLS) method as an
interpolation method but nowadays the radial basis functions (RBF) interpolation
is used instead. In this paper the combination of RBF and the dual reciprocity
method is used to solve the time-dependent groundwater flow in heterogeneous
domain combined with temperature transport which also influences the density
and viscosity of groundwater.
Keywords: heat transfer, density driven flow, dual reciprocity, radial basis
functions.
1 Introduction
The density driven groundwater flow occurs mainly in some environmental
problems such as saltwater intrusion or leakage from landfills. We must solve this
problem also when we study the geothermal problems. Although density driven
Keywords
heat transfer, density driven flow, dual reciprocity, radial basisfunctions
Related Book
Other papers in this volume
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