论文标题
声学模态分析，并使用非线性特征植物进行热释放波动
Acoustic modal analysis with heat release fluctuations using nonlinear eigensolvers
论文作者
论文摘要
燃气轮机和火箭等封闭的燃烧设备容易出现热声不稳定性。行业中的设计工程师需要工具来准确识别和删除设计周期的早期不稳定性。多年来，研究人员开发了许多不同的方法。在这项工作中，我们关注基于Helmholtz Wave方程的求解器，该求解器被认为在大多数应用中相对快速准确。该求解器一直是许多先前工作的研究主题。频率空间中的Helmholtz波方程将减少为非线性特征值问题，该问题需要解决以计算声学模式。该求解器的大多数实现都依赖于线性化的求解器和迭代方法，如本工作所示，这些方法不是很好，有时不准确。在这项工作中，我们利用SLEPC中实现的专业算法，这些算法是计算非线性特征值问题特征值的准确和有效效率的。我们利用N-TAU模型来计算Helmholtz方程中的反应源项，并描述推导Helmholtz特征值方程的步骤，并使用SLEPC库获得其解决方案。
Closed combustion devices like gas turbines and rockets are prone to thermoacoustic instabilities. Design engineers in the industry need tools to accurately identify and remove instabilities early in the design cycle. Many different approaches have been developed by the researchers over the years. In this work we focus on the Helmholtz wave equation based solver which is found to be relatively fast and accurate for most applications. This solver has been a subject of study in many previous works. The Helmholtz wave equation in frequency space reduces to a nonlinear eigenvalue problem which needs to be solved to compute the acoustic modes. Most previous implementations of this solver have relied on linearized solvers and iterative methods which as shown in this work are not very efficient and sometimes inaccurate. In this work we make use of specialized algorithms implemented in SLEPc that are accurate and efficient for computing eigenvalues of nonlinear eigenvalue problems. We make use of the n-tau model to compute the reacting source terms in the Helmholtz equation and describe the steps involved in deriving the Helmholtz eigenvalue equation and obtaining its solution using the SLEPc library.
