A global approach to reactive transport: application to the MoMas benchmark |
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Authors: | Caroline de Dieuleveult and Jocelyne Erhel |
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Institution: | (1) Institut de M?canique des Fluides et des Solides, Universit? Louis Pasteur, CNRS- UMR 7507, 2 rue Boussingault, 67000 Strasbourg, France; |
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Abstract: | Water resource management involves numerical simulations in order to study contamination of groundwater by chemical species.
Not only do the aqueous components move due to physical advection and dispersion processes, but they also react together and
with fixed components. Therefore, the mass balance couples transport and chemistry, and reactive transport models are partial
differential equations coupled with nonlinear algebraic equations. In this paper, we present a global method based on the
method of lines and differential algebraic system (DAE) solvers. At each time step, nonlinear systems are solved by a Newton-LU
method. We use this method to carry out numerical simulations for the reactive transport benchmark proposed by the MoMas research
group. Although we study only 1D computations with a specific geochemical system, several difficulties arise. Numerical experiments
show that our method can solve quite difficult problems, get accurate results and capture sharp fronts. |
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