Linstab2D: stability and resolvent analysis of compressible viscous flows in MATLAB

被引:3
作者
Martini, Eduardo [1 ]
Schmidt, Oliver [2 ]
机构
[1] Univ Poitiers, Inst Pprime, CNRS,ENSMA, Dept Fluides Therm Combust, 1 Bd Marie & Pierre Curie, F-86962 la Vienne, France
[2] Univ Calif San Diego, Dept Mech & Aerosp Engn, 9500 Gilman Dr, La Jolla, CA 92093 USA
关键词
Linear stability analysis; Resolvent analysis; Flow modelling; Transition to turbulence; FINITE-DIFFERENCE APPROXIMATIONS; CLOSED-LOOP CONTROL; LINEAR-STABILITY; ENERGY AMPLIFICATION; GLOBAL INSTABILITIES; ABSOLUTE INSTABILITY; ACOUSTIC MODES; FLUID-FLOWS; JET; DISTURBANCES;
D O I
10.1007/s00162-024-00706-0
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We present LinStab2D, an easy-to-use linear stability analysis MATLAB tool capable of handling complex domains, performing temporal and spatial linear stability, and resolvent analysis. We present the theoretical foundations of the code, including the linear stability and resolvent analysis frameworks, finite differences discretization schemes, and the Floquet ansatz. These concepts are explored in five different examples, highlighting and illustrating the different code capabilities, including mesh masking, mapping, imposition of boundary constraints, and the analysis of periodic flows using Cartesian or axisymmetric coordinates. These examples were constructed to be a departure point for studying other flows.
引用
收藏
页码:665 / 685
页数:21
相关论文
共 12 条
[1]   Stability analysis of viscous multi-layer shear flows with interfacial slip [J].
Katsiavria, Anna ;
Papageorgiou, Demetrios T. .
IMA JOURNAL OF APPLIED MATHEMATICS, 2024, 89 (02) :279-317
[2]   Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid [J].
Antonelli, Paolo ;
Dolce, Michele ;
Marcati, Pierangelo .
ANNALS OF PDE, 2021, 7 (02)
[3]   Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid [J].
Paolo Antonelli ;
Michele Dolce ;
Pierangelo Marcati .
Annals of PDE, 2021, 7
[4]   LINEAR STABILITY OF VISCOUS SHOCK WAVE FOR 1-D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH MAXWELL'S LAW [J].
Hu, Yuxi ;
Wang, Zhao .
QUARTERLY OF APPLIED MATHEMATICS, 2022, 80 (02) :221-235
[6]   The 2D Boussinesq equations with vertical dissipation and linear stability of shear flows [J].
Tao, Lizheng ;
Wu, Jiahong .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (03) :1731-1747
[7]   INVISCID DAMPING AND THE ASYMPTOTIC STABILITY OF PLANAR SHEAR FLOWS IN THE 2D EULER EQUATIONS [J].
Bedrossian, Jacob ;
Masmoudi, Nader .
PUBLICATIONS MATHEMATIQUES DE L IHES, 2015, (122) :195-300
[8]   Stability of two-dimensional (2D) natural convection flows in air-filled differentially heated cavities: 2D/3D disturbances [J].
Xin, Shihe ;
Le Quere, Patrick .
FLUID DYNAMICS RESEARCH, 2012, 44 (03)
[9]   Linear stability analysis of 2D incompressible MHD equations with only magnetic diffusion [J].
Liu, Jitao ;
Zhang, Huning .
APPLIED MATHEMATICS LETTERS, 2025, 169
[10]   Input-output analysis of the 2D/3C model in channel flows of viscoelastic fluids [J].
Hoda, Nazish ;
Jovanovic, Mihailo R. ;
Kumar, Satish .
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, :841-846