High-order, linear and non-linear residual distribution schemes for steady compressible RANS equations

Abstract

Linear and non-linear Residual Distribution schemes for the discretization of the RANS equations are presented. Non-linear schemes are particularly suited for the discretization of transonic flows due to their capacity to give a monotone approximation of discontinuous solutions without the necessity to add artificial viscosity. A non-linear LUSGS solver is considered to construct a robust implicit solver for the discretization of two and three-dimensional problems.