A variable explicit/implicit numerical method for calculating advection on unstructured meshes (Q1287175)

We present a variable explicit/implicit numerical method for calculating fluid advection on hybrid unstructured meshes. The method intended for unsteady flows that have a large range of advective time scales, with subregions where the flow may be quasi-steady on time scales of interest. No directional splitting is used; upwinding is in the direction of the material velocity, and thus we define and use a new multidimensional limited gradient. We present results of four example calculations. \(\copyright\) Academic Press.