A VERTEX-CENTERED FINITE-VOLUME METHOD WITH SHOCK DETECTION

This paper introduces a vertex-centred finite volume method for compre ssible viscous flow incorporating a new shock detection procedure. The discretization is designed to be robust and accurate on the highly st retched and curved meshes necessary for resolving turbulent boundary l ayers around the leading edge of an aerofoil. Details of the method ar e described for two-dimensional problems and the natural extension to three-dimensional multiblock meshes is discussed. The shock detection procedure is used to limit the range of the shock-capturing dissipatio n specifically to regions containing shocks. For transonic turbulent f low this is shown to improve the boundary layer representation signifi cantly.