Three-dimensional benchmark for variable-density flow and transport simulation: matching semi-analytic stability modes for steady unstable convection in an inclined porous box

Hydrogeology Journal
By: , and 

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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.

Additional publication details

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
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