时域谐波平衡求解器中非物理解出现根源探析  

Root Cause Investigation of a Non-physical Solution of a Time Domain Harmonic Balance Solver Domain Harmonic Balance Solver

作　　者：张森 王丁喜 Sen Zhang;Ding-xi Wang(School of Power and Energy,Northwestern Polytechnical University;Shaanxi Key Laboratory of Internal Aerodynamics in Aero-engines,Northwestern Polytechnical University)

机构地区：[1]School of Power and Energy,Northwestern Polytechnical University [2]Shaanxi Key Laboratory of Internal Aerodynamics in Aero-engines,Northwestern Polytechnical University

出　　处：《风机技术》2024年第2期44-50,共7页Chinese Journal of Turbomachinery

基　　金：National Natural Science Foundation of China(51976172);National Science and Technology Major Project (2017-II-0009-0023);China’s 111 project(B17037);Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University(CX2023056)。

摘　　要：The time domain harmonic balance method is an attractive reduced order method of analyzing unsteady flow for turbomachines. However, the method can admit non-physical solutions. Non-physical solutions were encountered from a three-blade-row compressor configuration in a time domain harmonic balance analysis. This paper aims to investigate the root cause of the non-physical solutions. The investigation involves several strategies, which include increasing the number of harmonics, increasing the number of time instants, including scattered modes,including the rotor-rotor interaction, and the use of a new method-the approximate time domain nonlinear harmonic method. Numerical analyses pertinent to each strategy are presented to reveal the root cause of the non-physical solution. It is found that the nonlinear interaction of unsteady flow components with different fundamental frequencies is the cause of the non-physical solution. The non-physical solution can be eliminated by incorporating extra scattered modes or using the approximate time domain nonlinear harmonic method.

关 键 词：The Time Domain Harmonic Balance Method Non-physical Solution Turbomachinery Blade Row Interaction 

分 类 号：TH45[机械工程—机械制造及自动化]