DENSITY DRIVEN GROUNDWATER FLOW SOLVED USING MESHLESS LOCAL PETROV-GALERKIN METHOD.

Density-driven groundwater flow is a complicated nonlinear problem in groundwater hydraulics. The local Petrov-Galerkin method is a promising meshless scheme that is used for solving several difficult problems in different areas. This method applies the weak form of governing equations to the local mesh around every node. The nodes can be randomly distributed in the domain and on the global boundary. Therefore, this method is characterized as meshless. The unknown potentials and concentrations in all of the nodes are approximated by interpolation to obtain a system of linear equations. Solving this system of equations leads to the numerical solution for the main problem. In this paper, a combination of the radial basis function interpolation and the local Petrov-Galerkin method is used to solve groundwater flow problem combined with the transport of pollution, which also influences the density of groundwater. [ABSTRACT FROM AUTHOR]