This paper describes the development and application of CFD codes, based on time-marching finite-volume formulations to the flow analysis in blade cascades, blade rows and stages of modern turbomachines. Special attention is paid to the reduction of the numerical dissipation of finite-volume discretization schemes, the numerical simulation of shock waves and to viscous effects. Furthermore, the application of solution-adaptive structured and unstructured computational grids is investigated. Finally, the ability of time-marching finite-volume methods to simulate three-dimensional flow effects in turbomachinery bladings is demonstrated.

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