Frozen gust analysis via time-transformation pitch-change model and harmonic solution method

Abstract

Systems and methods are provided for modeling fluid flow in a turbomachine. A specification of a system including first and second blade rows is received. A wake profile from the first blade row is imposed on the second blade row to approximate an influence of the first blade row on the second blade row. Governing flow equations for the fluid flow in the second blade row are transformed in time. Flow variables of the transformed governing flow equations are represented as a Fourier series, and the Fourier series representation is substituted into the transformed governing flow equations to obtain a modified form of the transformed governing flow equations. A pseudo-time term is introduced into the modified form of the transformed governing flow equations. The modified form of the transformed governing flow equations is solved using the steady-state solution method to model the fluid flow in the second blade row.