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Article Dans Une Revue Advances in Water Resources Année : 2014

A new benchmark semi-analytical solution for density-driven flow in porous media

Résumé

A new benchmark semi-analytical solution is proposed for the verification of density-driven flow codes. The problem deals with a synthetic square porous cavity subject to different salt concentrations at its vertical walls. A steady state semi-analytical solution is investigated using the Fourier-Galerkin method. Contrarily to the standard Henry problem, the cavity benchmark allows high truncation orders in the Fourier series and provides semi-analytical solutions for very small diffusion cases. The problem is also investigated numerically to validate the semi-analytical solution. The obtained results represent a set of new test case high quality data that can be effectively used for benchmarking density-driven flow codes.
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Dates et versions

hal-01054303 , version 1 (05-08-2014)

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M. Fahs, A. Younes, Thierry A. Mara. A new benchmark semi-analytical solution for density-driven flow in porous media. Advances in Water Resources, 2014, 70, pp.24-35. ⟨10.1016/j.advwatres.2014.04.013⟩. ⟨hal-01054303⟩
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