基于扩展型傅立叶敏感性测试方法的化学反应机理简化
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摘要
本文运用扩展型傅里叶全局性敏感性方法对氢气和甲烷燃烧速率进行不确定性和敏感性分析,并应用它进行化学反应机理简化。全局性敏感性分析比局部敏感性分析更能体现输入参数变化对输出的影响,而且在化学反应机理简化中可以全局的考虑输入参数或者速率对输出结果的影响。传统的傅里叶全局性敏感性分析方法采样是通过搜索曲线进行,相比于sobol和其他基于方差的全局性敏感性分析方法,相同的精度下,可以减少采样,从而提高计算效率;它的缺点是虽然能计算主要的敏感性系数,但不能计算总的敏感性系数,只能称为半定量的分析方法。本文以PSR反应器为例子,采用基于傅里叶全局性敏感性分析方法上改进的扩展型傅里叶方法,进行了氢气和甲烷燃烧速率的不确定性和敏感性分析及其简化,该方法结合了傅里叶和方差方法的优点,不仅采样量小,同时可以计算总的敏感性系数。
In this paper, the uncertainty of rate coefficients and sensitivity analysis for hydrogen and methane combustion systems is studied using the Extended Fourier amplitude sensitivity test(e FAST) which is one of global sensitivity analysis methods and is an improvement of Fourier amplitude sensitivity test(FAST). And we also use e FAST to reduce detailed mechanism of methane. The global sensitivity analysis is more able to reflect the effect of the input parameters on the output parameters than the local sensitivity analysis, and can consider the effect of the rate coefficients uncertainty on the output parameters. The e FAST method defines a search curve which can help e FAST method obtained the high accuracy compared with the other global sensitivity method. The FAST method only gets the main sensitivity index. However, the e FAST not only can obtain the main sensitivity index but total sensitivity index. We use the e FAST to analyze the systems of hydrogen and methane in PSR model.
引文
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