Advances in the Numerical Integration of the 3-D Euler Equations in Vibrating Cascades

Abstract

In the present work an algorithm for the numerical integration of the 3-D unsteady Euler equations in vibrating transonic compressor cascades is described. The equations are discretized in finite-volume formulation in a mobile grid using isoparametric brick elements. They are integrated in time using Runge-Kutta schemes. A thorough discussion of the boundary-conditions used and of their infuence on results is undertaken. The influence of grid refinement on computational results is examined. Unsteady convergence of results is discussed.