A BOUNDED CONVECTION SCHEME FOR THE OVERLAPPING CONTROL-VOLUME APPROACH

This paper introduces a flux-limited scheme FLOCV for the overlapping control volume (OCV) approach to 2D steady and unsteady convection-dif fusion problems on structured non-orthogonal grids, FLOCV switches fro m second-to first-order interpolation in the presence of extrema. Smoo th switching between the two is ensured by weighted average second-and first-order upwind differencing, with the weights being dynamically d etermined. Five convective test problems are solved using this scheme and results are compared with known analytical solutions. It is found that FLOCV approximately retains second-order accuracy of the base dis cretization scheme on uniform grids and smooth non-uniform orthogonal grids. It is also found effective in removing oscillations for problem s with discontinuities on both orthogonal and non-orthogonal grids, wi th little degradation of accuracy. (C) 1977 John Wiley & Sons, Ltd.