Resolución de Flujo Potencial y Generación de Mallas alrededor de Cascadas de Perfiles por Transformación Conforme

Abstract

In this work, potential flow around cascades for axial or centrifugal turbomachinery is solved by a conformal mapping method. The cascade is mapped via a chain of transformations to the exterior of a circle with point source and sink. The process involves a Theodorsen
mapping to bring the exterior of a quasi-eircle to the exterior of the final circle. This step is the only numerical one, in the sense that it requires a series of coefficientes which are obtained via an iterative process. The method has shown to have spectral convergence, in the sense that t~econvergence is better than any finite power of the number of coefficients.
For cascades with large density of profiles the convergence of the iterative algorithm to obtain the coefficients of the Theodorsen transformation is bad, and the range of application of the method is limited. To overcome this problem, the modification introduced by Moretti [1] to the original Theodorsen mapping has been implemented. Results for cascades in axial or centrifugal tutbomachinery are presented. The resultant conformal mapping is useful also for the generation of good quality meshes around representative angular sectors of axial or
centrifugal cascades for deeper analysis with Euler or Navier-Stokes codes.