Radial Basis Function Method for 1-D and 2-D Groundwater Contaminant Transport Modeling

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In this paper we develop a meshless method for modeling groundwater contaminant transport. The algorithm uses collocation method with radial basis functions. Numerical results are presented for several cases: pure diffusion; advection and dispersion for continuous source; advection and dispersion for instantaneous source; advection and dispersion for patch-source. The results show that the method is very simple and accurate.


Contaminant transport modeling; Groundwater; Groundwater – Pollution; Groundwater flow; Meshfree methods (Numerical analysis); Pollutants – Transport properties; Radial basis functions


Applied Mathematics | Engineering | Environmental Engineering | Hydrology | Numerical Analysis and Computation


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