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Numerical simulation of contaminant transport in groundwater using software tools of \(r^3t\)

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Computing and Visualization in Science

Abstract

When a realistic modelling of radioactive contaminant transport in flowing groundwater is required, very large systems of coupled partial and ordinary differential equations can arise that have to be solved numerically. For that purpose, the software package \(r^3t\) is developed in which several advanced numerical methods are implemented to solve such models efficiently and accurately. Using software tools of \(r^3t\) one can treat successfully nontrivial mathematical problems like advection-dominated system with different retardation of transport for each component and with nonlinear Freundlich sorption and/or precipitation. Additionally, long time simulations on complex 3D geological domains using unstructured grids can be realized. In this paper we introduce and summarize the most important and novel features of numerical simulation for radioactive contaminant transport in porous media when using \(r^3t\).

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Authors and Affiliations

  1. Department of Mathematics and Descriptive Geometry, Slovak University of Technology, Radlinského 11, 81005, Bratislava, Slovakia

    Peter Frolkovič

  2. Goethe Centre for Scientific Computing, Goethe University of Frankfurt, Kettenhofweg 139, 60325, Frankfurt, Germany

    Michael Lampe & Gabriel Wittum

Authors
  1. Peter Frolkovič
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  2. Michael Lampe
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  3. Gabriel Wittum
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Corresponding author

Correspondence to Peter Frolkovič.

Additional information

Communicated by Ralf Kornhuber.

This work was funded by the Federal Ministry of Economics and Technology (BMWi) under the Contract Number 02 E 9148 2. The first author was supported by APVV-0184-10 and VEGA 1/1137/12.

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Frolkovič, P., Lampe, M. & Wittum, G. Numerical simulation of contaminant transport in groundwater using software tools of \(r^3t\) . Comput. Visual Sci. 18, 17–29 (2016). https://doi.org/10.1007/s00791-016-0268-0

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  • DOI: https://doi.org/10.1007/s00791-016-0268-0

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