Transient blade row flow modeling with profile-transformation pitch-change model and harmonic solution method

摘要

Systems and methods are provided for modeling fluid flow in a turbomachine. A specification of a system including at least a stator and a rotor of a turbomachine is received. The stator is coupled to the rotor via a profile-transformation (PT) interface. A flow profile for fluid flow across the PT interface is expanded or compressed based on a pitch ratio between the stator and the rotor. Flow variables of governing flow equations for the fluid flow in the system are represented as a Fourier series with spatially-varying Fourier coefficients. The Fourier series representation is substituted into the governing flow equations to obtain a modified form of the governing flow equations. The modified form of the governing flow equations is solved using a steady-state solution method to model the fluid flow in the system. The modeling utilizes an implicit solution discretization across the PT interface.