Stability and Sensitivity Analysis of a Low-speed Jet in Cross-flow

M. Regan, K. Mahesh
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引用次数: 1

Abstract

The JICF is studied using direct numerical simulation of the linearized Navier-Stokes equations, as well as their adjoint, at a Reynolds number of 2000, and two jet-to-cross-flow velocity ratios: R = 2 with an absolutely unstable upstream shear-layer, and R = 4 with a convectively unstable upstream shear-layer. Linear stability analysis of the JICF reveals that the dominant eigenmodes are shear-layer modes whose frequencies match frequencies of the upstream shear-layer observed in simulation and experiment. Asymmetric modes are shown to be more important to the overall dynamics at higher jet-to-cross-flow ratios. Adjoint modes show that the upstream shear-layer is most sensitive to perturbations along the upstream side of the jet nozzle exit. Wavemaker results are shown to be consistent with the transition of the upstream shear-layer from absolute to convective instability.
低速射流在横流中的稳定性和灵敏度分析
在雷诺数为2000的条件下,对线性化的Navier-Stokes方程及其伴随方程进行直接数值模拟,并采用两种射流-横流速度比:R = 2,上游剪切层绝对不稳定,R = 4,上游剪切层对流不稳定。线性稳定性分析表明,JICF的主要特征模态为剪切层模态,其频率与模拟和实验中观测到的上游剪切层的频率相匹配。在较高的射流-横流比下,非对称模式对整体动力学更为重要。伴随模态分析表明,上游剪切层对射流出口上游扰动最为敏感。造波结果与上游剪切层从绝对不稳定到对流不稳定的转变相一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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