Synchronization refers to the adjustment of rhythms of two nonidentical oscillators due to interaction. In this study, we report for the first time on the ability of computational fluid dynamics (CFD) to simulate the synchronization of self-sustained acoustic oscillations in two coupled thermoacoustic (TA) oscillators that interfere with each other through acoustic radiation. A bifurcation diagram containing both asynchronous and synchronous states is first mapped out by changing the end-to-end distance and the resonator length difference. It is found that the two TA oscillators are analogous to mutually coupled van der Pol oscillators with reactive coupling. Then, the dynamic characteristics of beating and periodic oscillations in asynchronous and synchronous states are analysed separately to facilitate the comprehension of the synchronization process. This research demonstrates that the CFD methodology provides a valuable numerical tool for studying the synchronization of thermally induced acoustic oscillations in TA systems.

同步是指由于相互作用而调整两个不同振荡器的节奏。在这项研究中，我们首次报告了计算流体动力学 (CFD) 模拟两个耦合热声 (TA) 振荡器中自持声学振荡同步的能力，这些耦合热声 (TA) 振荡器通过声辐射相互干扰。首先通过改变端到端距离和谐振器长度差来绘制包含异步和同步状态的分叉图。发现两个TA振荡器类似于具有反应耦合的相互耦合的van der Pol振荡器。然后，为了便于理解同步过程，分别分析了异步和同步状态下的跳动和周期振荡的动态特性。这项研究表明，CFD 方法为研究 TA 系统中热致声学振荡的同步提供了一种有价值的数值工具。