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A new kind of C-type grid is proposed for turbomachinery flow calculations. This grid is nonperiodic on the wake and results in minimum skewness for cascades with high turning and large camber. The Reynoldsaveraged Navier-Stokes equations are discretized on this type of grid using a finite volume approach. The Baldwin-Lomax eddy-viscosity model is used for turbulence closure. Jameson's explicit Runge-Kutta scheme is adopted for the integration in time, and computational efficiency is achieved through accelerating strategies such as multigriding and residual smoothing. A detailed numerical study has been carried out for a turbine rotor and for a vane. A grid dependence analysis is presented and the effect of the artificial dissipation is also investigated. Comparison of calculations with experiments clearly demonstrate the advantage of the proposed grid.

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SummaryIn this paper, we propose an optimal least-squares finite element method for 2D and In order to get an optimal least-squares method, the irrotationality V x p = 0 should be included in the first-order system.