TY  - JOUR
AB  - A fast false implicit transient scheme FITS is developed to predict the
two‐dimensional steady‐state solutions of
buoyancy‐assisted laminar internal flows. This new scheme uses the
control volume based on power law technique in conjugation with the
alternating direction implicit (ADI) and the successive grid
refinement (SGR) procedures to solve the transient vorticity and
energy transport equations. The ADI procedure allows the power law, which
gives an excellent approximation to the exact 1‐D solution, to be
applied locally in one‐dimensional sense for each sweep in the
co‐ordinates’ directions. This in turn increased the solution
accuracy and hence permits the use of a larger time increment. As a result a
remarkable increase in the convergence rate to steady‐state is
achieved. The final solution is obtained by successively refining the grid as
the solution advances in time. The efficiency of FITS is verified by
comparing the present predictions with three steady‐state benchmark
solutions: natural convection of a heat generating fluid in a
rectangular enclosure, natural convection inside a cavity with two isothermal
walls, and a vertical buoyancy‐assisted laminar backward‐facing
step flow.
VL  - 6
IS  - 6
SN  - 0961-5539
DO  - 10.1108/09615539610131235
UR  - https://doi.org/10.1108/09615539610131235
AU  - El‐Refaee M.M.
AU  - Elsayed M.M.
AU  - Al‐Najem N.M.
AU  - Megahid I.E.
PY  - 1996
Y1  - 1996/01/01
TI  - Steady‐state solutions of Buoyancy‐assisted internal flows
using a fast false implicit transient scheme (FITS)
T2  - International Journal of Numerical Methods for Heat & Fluid Flow
PB  - MCB UP Ltd
SP  - 3
EP  - 23
Y2  - 2024/04/24
ER  -