Nonlinear Optimal Disturbances in Compressible Shear Flows

被引：0

作者：

Huang, Zhu ^{[1
]}

Flint, Tim ^{[1
]}

Hack, M. J. Philipp ^{[1
]}

机构：

[1] Stanford Univ, Ctr Turbulence Res, Stanford, CA 94305 USA

来源：

IUTAM LAMINAR-TURBULENT TRANSITION | 2022年 / 38卷

关键词：

PLANE POISEUILLE; TURBULENCE; STABILITY; GROWTH; TRANSITION; ORR;

D O I：

10.1007/978-3-030-67902-6_6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We present a variational method for the computation and analysis of nonlinear optimal perturbations in compressible flows. The method is verified in parallel periodic pipe flow at Re = 1750 and Ma = 0.20. At low initial perturbation energy, the computed perturbations recover the results of linear transient growth analyses. At higher amplitudes, nonlinear effects become relevant, leading to higher energy gains which match the results for incompressible shear flows.

引用

页码：87 / 95

页数：9

共 50 条

[1] A variational framework for computing nonlinear optimal disturbances in compressible flows
Huang, Zhu
Hack, M. J. Philipp
[J]. JOURNAL OF FLUID MECHANICS, 2020, 894
[2] STABILITY OF COMPRESSIBLE SHEAR FLOWS
SUBBIAH, M
JAIN, RK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 151 (01) : 34 - 41
[3] NONLINEAR EVOLUTION OF SUBSONIC AND SUPERSONIC DISTURBANCES ON A COMPRESSIBLE FREE SHEAR-LAYER
LEIB, SJ
[J]. JOURNAL OF FLUID MECHANICS, 1991, 224 : 551 - 578
[4] CRITICAL LAYER AND NONLINEAR EVOLUTION OF DISTURBANCES WEAKLY SUPERCRITICAL SHEAR FLOWS
CHURILOV, SM
SHUKHMAN, IG
[J]. IZVESTIYA AKADEMII NAUK FIZIKA ATMOSFERY I OKEANA, 1995, 31 (04): : 557 - 569
[5] EFFECT OF THIN SHEAR LAYERS WITH FLOW AND DENSITY GRADIENTS ON SMALL DISTURBANCES IN INVISCID, COMPRESSIBLE FLOWS
BECKEMEYER, RJ
[J]. JOURNAL OF SOUND AND VIBRATION, 1973, 31 (02) : 251 - 256
[6] On the stability of inviscid compressible shear flows
Subbiah, M
Padmini, M
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1998, 29 (08): : 811 - 817
[7] On stability of stratified compressible shear flows
Subbiah, M
Padmini, M
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1997, 28 (01): : 95 - 107
[8] Optimal disturbances in compressible boundary layers
Tumin, A
Reshotko, E
[J]. AIAA JOURNAL, 2003, 41 (12) : 2357 - 2363
[9] STABILITY OF STRATIFIED COMPRESSIBLE SHEAR FLOWS
SUBBIAH, M
JAIN, RK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 138 (01) : 178 - 192
[10] Optimal disturbances in swirling flows
Ben-Dov, G
Levinski, V
Cohen, J
[J]. AIAA JOURNAL, 2004, 42 (09) : 1841 - 1848

← 1 2 3 4 5 →