论文标题
部分可观测时空混沌系统的无模型预测
Experimental Study of Forced Synchronization and Cross-coupling in a Liquid-Fuelled Gas Turbine Combustor at Elevated Pressure
论文作者
论文摘要
储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。
The effects of external forcing on a turbulent, liquid-fuelled, swirl-stabilized gas turbine combustor operating at a pressure of approximately 1 MPa are explored experimentally. In particular, the dynamics and coupling between the hydrodynamics, heat release rate and acoustics are compared for various forcing amplitudes at a fixed forcing frequency $f_f$. The hydrodynamics were characterized via laser Mie scattering from droplets in the fuel spray, while the heat release rate was qualitatively measured using chemiluminescence (CL) emissions in the 312 $\pm$ 12.5 nm wavelength range, both at 10 kHz. The dynamics at the frequencies of interest were extracted using spectral proper orthogonal decomposition (SPOD). In the unforced case, the spray and CL oscillations exhibited similar dynamics, dominated by oscillations at frequency $f_0$, whereas the pressure fluctuations were predominantly at $f_P$. As the forcing amplitude was increased from zero, the spray and CL exhibited changes in their power spectra characteristic of the suppression route to synchronization. The pressure fluctuations, however, were observed to follow the phase-locking route to synchronization. In contrast with expectations from synchronization theory, the amplitude of the pressure fluctuations increased significantly not only after lock-on, but also as the frequency detuning with $f_f$ decreased. It is shown that this increase in amplitude is not due to intermittency in the frequency of the pressure oscillations. The simultaneous occurrence of phase-locking and suppression illustrates the rich variety of dynamics that can occur in practical combustor systems. In addition, the amplification of the pressure oscillations based on the frequency detuning with the forcing suggests that classical reasoning based on the Rayleigh Index may not be sufficient to understand the high amplitude behaviour of multimodal systems.