Journal cover Journal topic
Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
Geosci. Model Dev., 8, 1809-1819, 2015
https://doi.org/10.5194/gmd-8-1809-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Methods for assessment of models
18 Jun 2015
An analytical verification test for numerically simulated convective flow above a thermally heterogeneous surface
A. Shapiro1,2, E. Fedorovich1, and J. A. Gibbs1 1School of Meteorology, University of Oklahoma, Norman, OK, USA
2Center for Analysis and Prediction of Storms, University of Oklahoma, Norman, OK, USA
Abstract. An analytical solution of the Boussinesq equations for the motion of a viscous stably stratified fluid driven by a surface thermal forcing with large horizontal gradients (step changes) is obtained. This analytical solution is one of the few available for wall-bounded buoyancy-driven flows. The solution can be used to verify that computer codes for Boussinesq fluid system simulations are free of errors in formulation of wall boundary conditions and to evaluate the relative performances of competing numerical algorithms. Because the solution pertains to flows driven by a surface thermal forcing, one of its main applications may be for testing the no-slip, impermeable wall boundary conditions for the pressure Poisson equation. Examples of such tests are presented.

Citation: Shapiro, A., Fedorovich, E., and Gibbs, J. A.: An analytical verification test for numerically simulated convective flow above a thermally heterogeneous surface, Geosci. Model Dev., 8, 1809-1819, https://doi.org/10.5194/gmd-8-1809-2015, 2015.
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