Publications Details

Comparison of reconstruction techniques for unstructured mesh vertex centered finite volume schemes

Barone, Matthew F.; Bond, Ryan B.; Lorber, Alfred

Many unstructured mesh finite volume discretization schemes are based upon structured mesh schemes. Structured mesh higher-order schemes rely on non-local data support to reconstruct interface values and fluxes. Since this data support is difficult to obtain or may not exist in the context of unstructured mesh codes, due to limited mesh connectivity or element topology, several approaches have been developed to overcome this problem. Three techniques that have been employed in vertex centered schemes are: gradient extrapolation, most collinear edge, and virtual edge extension/element interpolation. The current paper describes these three techniques in detail and compares numerical solutions to the inviscid and viscous flow equations, using these techniques, with an emphasis on grids containing high aspect ratio and high curvature cells.