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Techniques for Making Finite Elements Competitive in Modeling Three-Dimensional Flow and Transport

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Finite Elements in Water Resources

Abstract

This paper presents the formulation of a three-dimensional finite element model designed to simulate ground-water flow and contaminant transport in complex multi-layered aquifer systems. The model combines the use of two-dimensional basis functions in the x-y plane and one-dimensional basis functions in the z-direction. In addition, coupling of adjacent aquifers and aquitards are performed in a highly efficient manner using one-dimensional analytical solutions. The formulation to be described in the following sections is very general and has several advantages which include great flexibility and highly efficient element matrix computational procedures and equation solution algorithms.

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References

  • Babu, D.K. and G.F. Pinder (1982) A Three Dimensional Hybrid Finite Element-Finite Difference Scheme for Groundwater Simulation, Proc. of 10th IMACS World Congress on System Simulation and Scientific Computation, Montreal, 292–294.

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  • Carslaw, H.S. and J.C. Jaeger (1959) Conduction of Heat in Solids, 2nd ed. Oxford Univ. Press, Oxford, 510 pp.

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  • Huyakorn, P.S. and G.F. Pinder (1983) Computational Methods in Subsurface Flow, Academic Press, New York, 473 pp.

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  • Huyakorn, P.S., Techniques for Making Finite Elements Competitive in the Simulation of Variably-Saturated Porous Media: 2. Two-dimensional Transport Formulation (1984) submitted to Water Resources Research.

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  • Huyakorn, P.S., et al., Techniques for Making Finite Elements Competitive in the Simulation of Variably-Saturated Porous Media: 3. Three-dimensional Formulations (1984) submitted to Water Resources Research.

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© 1984 Springer-Verlag Berlin Heidelberg

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Huyakorn, P.S. (1984). Techniques for Making Finite Elements Competitive in Modeling Three-Dimensional Flow and Transport. In: Laible, J.P., Brebbia, C.A., Gray, W., Pinder, G. (eds) Finite Elements in Water Resources. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11744-6_17

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  • DOI: https://doi.org/10.1007/978-3-662-11744-6_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-11746-0

  • Online ISBN: 978-3-662-11744-6

  • eBook Packages: Springer Book Archive

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