This study deals with the calculation of the three-dimensional steady flow of a compressible and viscous fluid through a turbomachine. Using the potential theory, a quasi three-dimensional method is developed, which reduces the simplifying assumptions and yields high numerical accuracy. The method includes all main effects induced by the primary vortex system, in particular the influence of the casing and blade boundary layers on the cascade circulation. The use of two vortex sheets, representing the boundary surface, makes the calculation of flows having strong developed or separated boundary layers possible and allows a direct calculation of the secondary vorticity. Computed divergent and rotational flows are presented and compared with exact solutions or experimental data.

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