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为了提高流体网络求解的收敛性与稳定性,对网络节点残量修正算法进行改进。基于理论分析,提出使残量修正算法大范围收敛的初值赋值规律,并通过简单模型的数值分析加以验证;在节点残量修正显式迭代的基础上,提出隐式梯形迭代格式,扩大最大迭代步长。基于改进方法,以某典型航空发动机空气系统为例进行计算,获得空气系统各节点的压力、温度以及各支路的质量流量。该计算过程显示,相对于残量修正显式迭代,改进计算振荡大幅度减弱,收敛速度提高了80%以上。结果表明:改进算法有效地提高了流体网络求解的稳定性和收敛性。
In order to improve the convergence and stability of fluid network solution, the algorithm of residual error correction of network nodes is improved. Based on the theoretical analysis, an initial value assignment rule is proposed for large-scale convergence of the residual error correction algorithm, and verified by numerical analysis of the simple model. Based on the explicit iteration of residual error correction, an implicit trapezoidal iterative scheme is proposed to maximize the maximum Iteration step. Based on the improved method, taking a typical aero-engine air system as an example, the pressure, temperature and the mass flow of each branch of the air system are obtained. The calculation shows that, compared with the explicit iteration of residual correction, the improved computational oscillation is greatly weakened and the convergence rate is improved by more than 80%. The results show that the improved algorithm can effectively improve the stability and convergence of the fluid network.