the unsteady aerodynamics of fluttering cascades is a demanding problem in the analysis of modern compressors. An algorithm has been developed for numerically integrating the Euler equations in blade-to-blade surface formulation. The method simulates all the interblade channels of an annular cascade. The equations are discretized in a grid that moves in order to follow the vibration of the blades. The equations are integrated using the explicit MacCormack scheme in finite-difference formulation. Mistuned vibration as well as standing-, traveling-, or influence-wave modes may be readily simulated. Also, two other faster methods have been developed, simulating traveling and influence waves, respectively. A number of numerical results show the aptitude of the method to simulate both started and unstarted supersonic flow in vibrating cascades. A first comparision with availale wind-tunnel data corroborates the validity of this approach to predict supersonic flutter of fans and compressors.


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    Title :

    Numerical integration of the blade-to-blade surface Euler equations in vibrating cascads


    Additional title:

    Numerische Integration von Euler Gleichungen fuer die Schaufel-an-Schaufel-Oberflaeche in schwingenden Kaskaden


    Contributors:

    Published in:

    AIAA Journal ; 26 , 12 ; 1483-1492


    Publication date :

    1988


    Size :

    10 Seiten, 16 Bilder, 3 Tabellen, 59 Quellen



    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English





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