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Sensitivity Analysis of Implementing CFD-based Flame Transfer Functions in a Non-linear Euler Solver

机译:非线性欧拉求解器中实现基于CFD的火焰传递函数的灵敏度分析

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Although accurate prediction of combustion instability in full scale rocket combustors using high fidelity simulations is beyond current capability, validated simulations on the scale of single- or few-element combustors have been obtained. To take advantage of the data from simulations of limited domains, a model that uses spatially distributed flame transfer functions (FTF) obtained from high-fìdelity simulations along with non-linear Euler equations is investigated. In this paper, the proposed reduced fidelity model and the extraction of flame transfer functions are explored. A model rocket combustor that presented a self-excited combustion instability with pressure oscillations on the order of 10°7c of mean pressure is used for demonstration. It is shown that the model can reproduce the unsteady behavior of the single element combustor that was measured in experiment and predicted by a high fidelity simulation reasonably well. The effects of control parameters such as the number of modes included in the FTF, number of sampling points used in the Fourier transform of unsteady heat release calculation, and mesh size are studied. The reduced fidelity model could reproduce the limit cycle amplitude very closely, with deviations within 2% of the mean pressure when the same mesh as in the high fidelity simulation was used with a multi-mode FTF that contained unsteady heat release information at frequencies at least one mode higher than the main frequencies of interest. In addition to matching the limit cycle amplitudes, the reduced fidelity model reproduced accurate mode shapes and provided linear growth rates that reasonably matched those observed in the experiment.
机译:尽管使用高保真度模拟对全尺寸火箭燃烧室的燃烧不稳定性进行准确的预测已超出了当前的能力,但已经获得了单元素或少量元素燃烧室规模的经过验证的模拟。为了利用有限域模拟中的数据,研究了使用从高保真度模拟获得的空间分布火焰传递函数(FTF)以及非线性Euler方程的模型。在本文中,探索了所提出的降低保真度模型和火焰传递函数的提取。用于演示的是模型火箭燃烧器,该模型具有自激燃烧不稳定性且压力振荡约为平均压力的10°7c。结果表明,该模型可以较好地再现实验中测得的单元素燃烧室的非稳态行为,并通过高保真度模拟可以很好地预测该非稳态燃烧室的非稳态行为。研究了控制参数的影响,例如FTF中包含的模式数量,非稳态热释放计算的Fourier变换中使用的采样点数量以及网格大小。降低的保真度模型可以非常紧密地再现极限循环幅度,当与高保真度模拟中相同的网格与多模FTF一起使用时,偏差在平均压力的2%以内,该多模FTF至少包含频率下的不稳定热量释放信息一种高于感兴趣的主要频率的模式。除了匹配极限循环幅度外,降低的保真度模型还再现了精确的模式形状,并提供了与实验中观察到的合理匹配的线性增长率。

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