Boussinesq Algorithm for Buoyant Convection in Polygonal Domains.
Boussinesq Algorithm for Buoyant Convection in Polygonal
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
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.