DISC - an efficient method for the discretization of convection on unstructured grids

Abstract

When using Finite Volume methods for analyzing complex flow configurations numerically, the reliability of the results largely depends on a proper modelling of the convective transport. On unstructured grids, where difficulties arise from the irregular shape of the control volumes, an accurate and stable interpolation scheme is crucial. To meet these demands, the authors have developed the Derivative based Interpolation Scheme for Convection (DISC). The virtue of the new scheme is demonstrated in the context of a Finite Volume pressure-correction procedure on two-dimensional unstructured meshes. The flow field around a film cooled blade of a gas turbine was selected to analyze the capabilities of the approach. A comparison with experimental results reveals that the DISC interpolation attains a much better accuracy than the common Upwind scheme while hardly affecting convergence and computational effort.