Toward an improved wall treatment for multiple-correction k-exact schemes

International audience; Improved wall boundary treatments are investigated for a family of high-order Godunovtypefinite volume schemes based on k-exact polynomial reconstructions in each cell of theprimitive variables, via a successive corrections procedure. We focus more particularly on the1-exact and 2-exact schemes which offer a good trade-off between accuracy and computationalefficiency. In both cases, the reconstruction stencil needs to be extended to the boundaries.Additionally, information about wall curvature has to be taken into account, which is doneby using a surface model based on bicubic Bézier patches for the walls. The performance ofthe proposed models is presented for two compressible cases, namely the inviscid flow past aGaussian bump and the viscous axisymmetric Couette flow.