Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid

P Antonelli, M Dolce, P Marcati - Annals of PDE, 2021 - Springer
In this paper, we study the linear stability properties of perturbations around the
homogeneous Couette flow for a 2D isentropic compressible fluid in the domain T * RT× R …

Non-normality and internal flame dynamics in premixed flame–acoustic interaction

P Subramanian, RI Sujith - Journal of fluid mechanics, 2011 - cambridge.org
This paper investigates the non-normal nature of premixed flame–acoustic interaction. The
thermoacoustic system is modelled using the acoustic equations for momentum and energy …

Linear stability analysis for 2d shear flows near Couette in the isentropic compressible euler equations

P Antonelli, M Dolce, P Marcati - arXiv preprint arXiv:2003.01694, 2020 - arxiv.org
In this paper, we investigate linear stability properties of the 2D isentropic compressible
Euler equations linearized around a shear flow given by a monotone profile, close to the …

On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions

JN Hau, M Oberlack, G Chagelishvili - Journal of Mathematical Physics, 2017 - pubs.aip.org
We present a unifying solution framework for the linearized compressible equations for two-
dimensional linearly sheared unbounded flows using the Lie symmetry analysis. The full set …

Velocity-shear-induced mode coupling in the solar atmosphere and solar wind: Implications for plasma heating and MHD turbulence

JV Hollweg, EK Kaghashvili… - The Astrophysical …, 2013 - iopscience.iop.org
We analytically consider how velocity shear in the corona and solar wind can cause an
initial Alfvén wave to drive up other propagating signals. The process is similar to the familiar …

A comparative numerical analysis of linear and nonlinear aerodynamic sound generation by vortex disturbances in homentropic constant shear flows

JN Hau, G Chagelishvili, G Khujadze, M Oberlack… - Physics of …, 2015 - pubs.aip.org
Aerodynamic sound generation in shear flows is investigated in the light of the breakthrough
in hydrodynamics stability theory in the 1990s, where generic phenomena of non-normal …

Alfvén waves in shear flows revisited

JV Hollweg, EK Kaghashvili - The Astrophysical Journal, 2011 - iopscience.iop.org
We revisit our earlier study of the evolution of an initial propagating Alfvén wave in a
magnetic-field-aligned flow with a cross-field velocity shear. Our goal is to show how the …

[PDF][PDF] Dynamical systems approach to the investigation of thermoacoustic instabilities

P Subramanian - Ph. D. thesis, 2011 - researchgate.net
Thermoacoustic instabilities severely restrict the operating regimes and reduce the life of
gas turbines as they induce large amplitude pressure fluctuations. During instability …

On the role of vortex stretching in energy optimal growth of three-dimensional perturbations on plane parallel shear flows

H Vitoshkin, E Heifetz, AY Gelfgat… - Journal of fluid …, 2012 - cambridge.org
The three-dimensional linearized optimal energy growth mechanism, in plane parallel shear
flows, is re-examined in terms of the role of vortex stretching and the interplay between the …

Aerodynamic sound of turbulent time-developing shear layer as the outcome of the flow linear non-modal instability

G Khujadze, D Gogichaishvili, G Chagelishvili… - arXiv preprint arXiv …, 2021 - arxiv.org
The aim of this paper is to substantiate the importance of non-normality of shear flow linear
operators and its consequence--the non-modal dynamics of the perturbations--in the …