罚函数法在求解航空发动机非线性方程组中的应用

Application of Penalty Function Method in Solving Aero Engine Non-linear Functions

针对求解分排涡扇发动机非线性方程组过程中出现的喷管进入无意义工作范围导致计算发散的问题。在传统的牛顿法中结合罚函数法,提出了一种新的非线性方程组求解方法。对某大涵道比分排涡扇发动机进行了仿真计算验证,并且将计算结果、收敛情况和传统的牛顿法进行了对比。结果表明,能够较好地处理喷管进入无意义工作范围导致计算发散的问题,改善了计算的收敛性。

In order to solving the divergence situations caused by the meaningless nozzle working point when solving non- linear functions of turbofan engines. A method combined with traditional Newton- Rap- thon method and penalty function method was established. The performance of a high bypass ratio turbofan engine was simulated by using this method. The simulation results showed that this method could handle the divergence problems caused by nozzle working point in the range of nonsense, and the astringency of simulation was improved.