Application of Flux-Corrected Transport (FCT) to heat transfer/fluid mechanics problems

The FCT finite-difference technique was developed to minimize numerical diffusion in concert with avoiding numerical dispersion (no artificial maxima or minima). As a result, the method is well-suited for accurately solving convective-diffusive flow equations. One-dimensional and two-dimensional solvers have been developed which utilize and explicit FCT approach. The solvers are vectorized for optimum execution on the CRAY. For instance, on a 50x50 grid, the two-dimensional solver may take up to 0.06 sec, per transport equation, per timestep, on the CRAY. In addition, the solvers are essentially canned to facilitate use by others. The flexibility of the FCT technique will be illustrated by showing results obtained for a variety of fluid flow/heat and mass transfer problems. Two-dimensional results will be presented for a Riemann shock problem, the classical Kelvin-Helmholtz and Rayleigh-Taylor flow instability problems, natural convective flow in a porous medium, thermal-solutal flow in a porous medium, and solution of the acoustic-filtered conservation equations describing a fire within a room.