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Boussinesq Algorithm for Buoyant Convection in Polygonal Domains.

pdf icon Boussinesq Algorithm for Buoyant Convection in Polygonal Domains. (775 K)
McGrattan, K. B.; Rehm, R. G.; Tang, H. C.; Baum, H. R.

NISTIR 4831; 26 p. April 1992.

Available from:

National Technical Information Service


bossinesq approximation; algorithms; convection; computational fluid dynamics; mapping; thermal conductivity


A 2-D Boussinesq model describing heat-driven buoyant convection in a polygonal enclosure is presented. The hydrodynamics is based on the time-dependent Navier-Stokes equations with constant viscosity and thermal conductivity; no turbulence model or other empirical parameters are introduced. The polygonal domain is mapped via a Schwarz-Christoffel transformation onto a rectangle. A finite difference scheme second-order in space and first-order in time is used to integrate the evolution equations, and an elliptic solver is used to solve the pressure equation. Computational results for high Reynolds numbers are presented through the use of Lagrangian particles which allow one to visualize the flow patterns.