Three-dimensional benchmark for variable-density flow and transport simulation: matching semi-analytic stability modes for steady unstable convection in an inclined porous box
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Abstract
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.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Three-dimensional benchmark for variable-density flow and transport simulation: matching semi-analytic stability modes for steady unstable convection in an inclined porous box |
| Series title | Hydrogeology Journal |
| DOI | 10.1007/s10040-009-0556-6 |
| Volume | 18 |
| Issue | 1 |
| Year Published | 2010 |
| Language | English |
| Publisher | Springer |
| Contributing office(s) | National Research Program - Eastern Branch, Toxic Substances Hydrology Program |
| Description | 19 p. |
| First page | 5 |
| Last page | 23 |
| Online Only (Y/N) | N |
| Additional Online Files (Y/N) | N |
| Google Analytic Metrics | Metrics page |