Computation of 3D viscous cascade flow (Q1316795)

The computational algorithm is based on the second-order-accurate Godunov implicit relaxation scheme proposed for the numerical integration of the Navier-Stokes equations. The system of equations is written in an arbitrary curvilinear coordinate system with preservation of the divergence form. The vectors of the fluxes across the faces of the cells are calculated in the same way as in Godunov's explicit scheme by means of the arbitrary discontinuity breakdown procedure. In order to improve the order of approximation of the spatial derivatives, piecewise- parabolic distributions satisfying the monotonicity condition (for a linear system) are used. As a test example we have calculated the steady flow in a low-pressure turbine cascade. The accuracy of the method is estimated by comparing the calculated distributions with the experimental results.