Pressure-based compressible calculation method utilizing normalized variable diagram scheme

Abstract

A pressure-based implicit procedure to solve the Euler and Navier-Stokes equations on a nonorthogonal mesh with collocated finite-volume formulation is described. The boundedness criteria for this procedure are determined from the NVD method, and are applied to the convected quantities. The procedure incorporates the eddy viscosity turbulence model. The algorithm is tested for several inviscid flows at different Mach numbers ranging from subsonic to supersonic on a bump in channel geometry where the results are compared with other existing numerical solutions. The method is then validated against experimental data for the case of turbulent transonic flow through a gas turbine rotor blade cascade. The comparisons presented show that the quality of the resolution of the SBIC scheme for steady state flows is remarkable.