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REDUCED-ORDER MODELING OF DYNAMIC HEAT RELEASE FOR THERMOACOUSTIC INSTABILITY PREDICTION

机译：用于热声不稳定性预测的动态热释放的降阶建模

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The feedback interaction between dynamic heat release and the acoustic characteristics of a combustor can produce an unstable "self-excited" system that ultimately results in a steady pressure oscillation. A simplified model of this feedback loop is needed to predict the limit cycle frequencies and amplitudes. This paper is focused on the development of a physically-based, reduced-order, nonlinear heat release model for a burner-stabilized, laminar premixed flame in a laboratory combustor. Starting from the governing conservation equations, the heat release dynamics are described by partial differential equations that are simulated by a finite-difference method. Using proper orthogonal decomposition (POD) and a generalized Galerkin procedure, the infinite-dimensional PDE model can be reduced to a set of low-order nonlinear ordinary differential equations. The issues of model order versus accuracy and the selection of mode shapes to be used in the reduction are discussed. In addition, this theoretical model points out some major challenges that need to be faced when trying to identify an accurate nonlinear heat release model from experimental data. A two-mode linear acoustic model for the combustor is coupled to the unsteady heat release model and the resulting closed-loop response is compared to experimental data.
机译：动态放热与燃烧器的声学特性之间的反馈相互作用会产生不稳定的“自激”系统，最终导致稳定的压力振荡。需要此反馈回路的简化模型来预测极限循环的频率和幅度。本文的重点是为实验室燃烧器中的燃烧器稳定的层流预混火焰开发基于物理的降阶非线性散热模型。从支配的守恒方程开始，放热动力学由偏微分方程描述，该方程由有限差分法模拟。使用适当的正交分解（POD）和广义Galerkin程序，可以将无穷维PDE模型简化为一组低阶非线性常微分方程。讨论了模型阶数与精度以及在缩减中使用的模式形状的选择问题。此外，该理论模型指出了尝试从实验数据中识别准确的非线性热释放模型时需要面对的一些主要挑战。将燃烧器的两模式线性声学模型耦合到非稳态热释放模型，并将所得的闭环响应与实验数据进行比较。

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