Subsonic Cascade Flow Analysis by a Finite Element Method

概要

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A finite element method was developed for analysing steady two-dimensional inviscid subsonic flows through an arbitrary shaped cascade on an arbitrary revolutional surface with a varying channel height. The flows were assumed to be homentropic and homorothalpic. In the method Poisson's equation for stream function is calculated repeatedly by minimization of the functional using linear triangular elements. In order to in crease the accuracy and save the computer time, the treatments of the periodic condition and the kutta condition were improved reasonably and the calculation of velocity was performed by the least square method. As numerical examples, flows through a compressor rotor cascade on a plane were computed and the streamlines, the Mach number contours, pressure contours, and the pressure distributions on the blade surface were obtained. These results agreed well with the results of experiment and the method of streamlines.
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