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Cascade Flow Calculations by a Multigrid Euler Method

An explicit finite-volume method for the Euler equations with multigrid is presented for calculating cascade flows. The method is validated against theoretical test cases of the Hobson shock-free impulse cascade and a supersonic wedge cascade. Results for a VKI turbine cascade and a low-pressure turbine cascade are presented and compared with experimental data. Isentropic Mach number distributions on blade surfaces show good agreement with experiments at design conditions, whereas, discrepancy exists at off-design conditions due to flow separation. With equal efficiency the method is also able to capture qualitative features of secondary flow due to inlet side-wall boundary layers.