Fire-Driven Flows in Enclosures.
Fire-Driven Flows in Enclosures.
(717 K)
McGrattan, K. B.; Rehm, R. G.; Baum, H. R.
Journal of Computational Physics, Vol. 110, No. 2,
285-291, February 1994.
Keywords:
enclosures; equations; viscosity; thermal conductivity;
vorticity; backdraft; gravity current
Abstract:
A two-dimensional Boussinesq model describing
heat-driven, buoyant convection in a polygonal enclosure
is presented. The hydrodynamic model 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 numerical
Schwarz-Christoffel transformation onto a rectangle,
where the equations of motion are written in terms of
the vorticity and stream function. An alternating
direction implicit (ADI) difference scheme, second-order
in space and first-order in time, is used to integrate
the evolution equations, and a standard elliptic solver
is used to solve the Poisson equation for the stream
function. Computational results which are of interest to
the fire research community are presented.
