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Implementation of a Locally Conservative Eulerian-Lagrangian Method Applied to Nuclear Contaminant Transport

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Part of the book series: Lecture Notes in Physics ((LNP,volume 552))

Abstract

Recently, in the study of computational geosciences, a new Locally Conservative Euler-Lagrangian Method (LCELM) [3] was introduced by Douglas, Pereira, and Yeh. They have shown superior results to those using the Modified Method of Characteristics (MMOC) and the Modified Method of Characteristics with Adjust Advection (MMO- CAA) for the problem of two-phase, immiscible, incompressible flow in porous media. The object of this paper is to implement the LCELM applied to the transport of a high-level nuclear decay chain for the purpose of locally conserving the mass of each element in the chain. This method is coupled with mixed finite elements for the spatial discretization of each concentration equation and for the pressure equation. Computational results comparing the LCELM, the MMOC, and the MMOCAA are presented.

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References

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© 2000 Springer-Verlag Berlin Heidelberg

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Huang, CS., Spagnuolo, A.M. (2000). Implementation of a Locally Conservative Eulerian-Lagrangian Method Applied to Nuclear Contaminant Transport. In: Chen, Z., Ewing, R.E., Shi, ZC. (eds) Numerical Treatment of Multiphase Flows in Porous Media. Lecture Notes in Physics, vol 552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45467-5_14

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  • DOI: https://doi.org/10.1007/3-540-45467-5_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67566-2

  • Online ISBN: 978-3-540-45467-0

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