An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifers

Authors:
F. Liu;I. Turner;V. Anh
Affiliations:
School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbene, Qld. 4001, Australia and Department of Mathematics, Xiamen University, Xiamen, China;School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbene, Qld., Australia;School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbene, Qld., Australia
Venue:
The Korean Journal of Computational & Applied Mathematics
Year:
2002

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Abstract

In this paper, a two-dimensional finite volume unstructured mesh method (FVUM) based on a triangular background interpolation mesh is developed for analysing the evolution of the saltwater intrusion into single and multiple coastal aquifer systems. The model formulation consists of a ground-water flow equation and a salt transport equation. These coupled and non-linear partial differential equations are transformed by FVUM into a system of differential/algebraic equations, which is solved using backward differentiation formulas of order one through five. Simulation results are compared with previously published solutions where good agreement is observed.