Inviscid Prediction of Transonic Flows in Turbomachinery Using a Runge-Kutta Integration Scheme

A computer code for solving the Euler equations has been developed and applied on H-grids for turbomachinery flow field prediction. The integration in time is based on the explicit four-stage Runge-Kutta scheme developed by Jameson. Linear interpolations are used for spatial discretization and care was taken in maintaining global conservation and the smoothing character of the dissipative terms. Comparison with inviscid theoretical solutions and with experimental data shows that the method is an accurate inviscid solver and can be applied to turbomachinery to yield a good blade-to-blade prediction.