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Numerical model for the investigation of hydrodynamic stability of shear flows in pipes of elliptic cross-section
Russian Journal of Numerical Analysis and Mathematical Modelling ( IF 0.6 ) Pub Date : 2019-12-18 , DOI: 10.1515/rnam-2019-0026
Kirill V. Demyanko

Abstract A numerical model for the investigation of hydrodynamic stability of viscous incompressible shear flows in pipes of constant elliptic cross-section is proposed. The model is supplied with efficient algorithms for computing various hydrodynamic stability characteristics including the maximum possible amplification of the average kinetic energy density of disturbances and the so-called optimal disturbances. An efficient spectral reduction is also implemented, which allows one to eliminate spurious disturbances due to spatial approximation errors. The results of computing the maximum possible amplification of the average kinetic energy density of disturbances for pipes with different cross-sectional aspect ratios are presented.

中文翻译:

研究椭圆截面管道中剪切流流体动力学稳定性的数值模型

摘要 提出了一种用于研究等椭圆截面管道中粘性不可压缩剪切流流体动力学稳定性的数值模型。该模型提供了用于计算各种流体动力稳定性特性的有效算法,包括扰动的平均动能密度的最大可能放大和所谓的最佳扰动。还实现了有效的频谱缩减,从而可以消除由于空间近似误差引起的虚假干扰。给出了不同截面纵横比管道扰动平均动能密度最大可能放大率的计算结果。
更新日期:2019-12-18
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