Banc d'essai tri-dimensionnel pour la simulation d'écoulement d'un flux de densité variable: Comparaison des modes de convexion uniforme instable dans une boîte poreuse inclinée

C Voss, Craig Simmons, Neville Robinson

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    37 Citations (Scopus)


    This benchmark for three-dimensional (3D) numerical simulators of variable-density groundwater flow and solute or energy transport consists of matching simulation results with the semi-analytical solution for the transition from one steady-state convective mode to another in a porous box. Previous experimental and analytical studies of natural convective flow in an inclined porous layer have shown that there are a variety of convective modes possible depending on system parameters, geometry and inclination. In particular, there is a well-defined transition from the helicoidal mode consisting of downslope longitudinal rolls superimposed upon an upslope unicellular roll to a mode consisting of purely an upslope unicellular roll. Three-dimensional benchmarks for variable-density simulators are currently (2009) lacking and comparison of simulation results with this transition locus provides an unambiguous means to test the ability of such simulators to represent steady-state unstable 3D variable-density physics.

    Original languageFrench
    Pages (from-to)5-23
    Number of pages19
    JournalHydrogeology Journal
    Issue number1
    Publication statusPublished - Feb 2010


    • Analytical solutions
    • Benchmark
    • Groundwater density/viscosity
    • Numerical modeling
    • Variable-density groundwater

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