In this paper, the dynamics and thermoacoustic stability of a laminar premixed flame are analyzed using a linearized reactive flow (LRF) solver. The LRF solver is based on linearized compressible Navier-Stokes and reacting species transport equations and thereby includes a model for the dynamic response of the flame to flow perturbations in an inherent manner. The equations are discretized using the discontinuous Galerkin finite element method. By way of example, thermoacoustic characteristics of attached and lifted laminar premixed flames are investigated. First, the respective flame transfer functions (FTFs) are computed in the frequency domain with the LRF solver. The results are in agreement with reference FTFs identified from CFD time-series. Secondly, the LRF solver is employed for thermoacoustic stability analysis, i.e. computation of shape, frequency, and growth rate of eigenmodes. Results are compared to established hybrid methods that couple FTFs with a low-order thermoacoustic network-model or a linearized Navier-Stokes equations solver. All solvers capture the dominant thermoacoustic mode, but only the LRF resolves local flow-flame interaction, revealing e.g. the onset of the flame movement and the propagation of distortions along the flame.

在本文中，使用线性化反应流（LRF）求解器分析了层状预混火焰的动力学和热声稳定性。LRF求解器基于线性可压缩的Navier-Stokes和反应性物质传输方程，因此包括一个模型，用于以固有方式对火焰对流动扰动的动态响应。使用不连续的Galerkin有限元方法离散方程。举例来说，研究了附着的和提升的层流预混火焰的热声特性。一，各自的火焰传递功能（FTF）是使用LRF求解器在频域中计算的。结果与从CFD时间序列中确定的参考FTF一致。其次，将LRF求解器用于热声稳定性分析，即计算本征模的形状，频率和增长率。将结果与已建立的将FTF与低阶热声网络模型或线性化Navier-Stokes方程求解器耦合的混合方法进行比较。所有求解器都捕获主要的热声模式，但是只有LRF可以解决局部流-火焰交互作用，从而揭示了例如火焰运动的开始以及变形沿火焰的传播。