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Related papers: Reactive control of 2 nd Mack mode in a supersonic…

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A flat-plate laminar boundary layer is simulated at Mach 6 and unit Reynolds number of 1.1e7 using the Direct Simulation Monte Carlo (DSMC) method to capture and analyze spontaneous second-mode instability growth. Power spectral density…

Fluid Dynamics · Physics 2025-12-15 Mert Senkardesler , Irmak T. Karpuzcu , Deborah A. Levin , Vassilis Theofilis

Adaptive control is applied to a supersonic dual-stream jet flow comprised of Mach 1.6 core and Mach 1.0 bypass streams that mix to form a supersonic shear layer. The vortices shed are the source of a high-frequency tone that persists…

Fluid Dynamics · Physics 2026-05-20 Melissa Yeung , Yiyang Sun

The extreme heat fluxes characteristic of hypersonic flows significantly limit the flight envelope of hypersonic vehicles. The role of hydrodynamic instability and the onset of laminar to turbulent boundary layer transition is of notable…

Fluid Dynamics · Physics 2026-04-21 L. Boscagli , G. Rigas , O. Marxen , P. J. K. Bruce

For a Mach 4.5 flat-plate adiabatic boundary layer, we study the sensitivity of the first, second Mack modes and streaks to steady wall-normal blowing/suction and wall heat flux. The global instabilities are characterised in frequency space…

Fluid Dynamics · Physics 2023-06-14 Arthur Poulain , Cédric Content , Georgios Rigas , Eric Garnier , Denis Sipp

Here, we investigate the linear spatial stability of a parallel two-dimensional compressible boundary layer on an adiabatic plate by considering 2D and 3D disturbances. We employ the Compound Matrix Method for the first time for…

Fluid Dynamics · Physics 2024-01-31 Neha Chaturvedi , Swagata Bhaumik , Rituparn Somvanshi

We present a predictive feedback control method for a class of quasilinear hyperbolic systems with one boundary control input. Assuming exact model knowledge, convergence to the origin, or tracking at the uncontrolled boundary, are achieved…

Optimization and Control · Mathematics 2022-03-18 Timm Strecker , Ole Morten Aamo , Michael Cantoni

Linear optimal gains are computed for the subcritical two-dimensional separated boundary-layer flow past a bump. Very large optimal gain values are found, making it possible for small-amplitude noise to be strongly amplified and to…

Fluid Dynamics · Physics 2014-11-11 Edouard Boujo , Uwe Ehrenstein , François Gallaire

The hypersonic flow stability over a two-dimensional compression corner is studied using resolvent analysis, linear stability theory (LST) and parabolised stability equation (PSE). The authors find that the interaction between upstream…

Fluid Dynamics · Physics 2025-03-25 Peixu Guo , Jiaao Hao , Chih-Yung Wen

This paper considers the optimization landscape of linear dynamic output feedback control with $\mathcal{H}_\infty$ robustness constraints. We consider the feasible set of all the stabilizing full-order dynamical controllers that satisfy an…

Optimization and Control · Mathematics 2023-07-07 Bin Hu , Yang Zheng

The two-dimensional backward-facing step flow is a canonical example of noise amplifier flow: global linear stability analysis predicts that it is stable, but perturbations can undergo large amplification in space and time as a result of…

Fluid Dynamics · Physics 2014-12-05 Edouard Boujo , François Gallaire

Because they represent physical systems with propagation delays, hyperbolic systems are well suited for feedforward control. This is especially true when the delay between a disturbance and the output is larger than the control delay. In…

Optimization and Control · Mathematics 2020-05-20 Georges Bastin , Jean-Michel Coron , Amaury Hayat

We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

This paper considers the distributed robust suboptimal consensus control problem of linear multi-agent systems, with both H2 and H_infty performance requirements. A novel two-step complementary design approach is proposed. In the first…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Zhongkui Li , Junjie Jiao , Xiang Chen

The influence of surface roughness on transition to turbulence in a Mach 4.5 boundary layer is studied using direct numerical simulations. Transition is initiated by the nonlinearly most dangerous inflow disturbance, which causes the…

Fluid Dynamics · Physics 2023-07-19 Reza Jahanbakhshi , Tamer A. Zaki

This paper presents bilateral control laws for one-dimensional(1-D) linear 2x2 hyperbolic first-order systems (with spatially varying coefficients). Bilateral control means there are two actuators at each end of the domain. This situation…

Optimization and Control · Mathematics 2024-09-04 Wei Sun , Jing Li , Liangyu Xu

Boundary feedback control design is studied for 1D hyperbolic systems with an in-domain disturbance and a boundary feedback controller under the effect of actuator saturation. Nonlinear semigroup theory is used to prove well-posedness of…

Optimization and Control · Mathematics 2022-05-18 Suha Shreim , Francesco Ferrante , Christophe Prieur

H2-conic controller design seeks to minimize the closed-loop H2-norm for a nominal linear system while satisfying the Conic Sector Theorem for nonlinear stability. This problem has only been posed with limited design freedom, as opposed to…

Optimization and Control · Mathematics 2021-10-11 Ethan J. LoCicero , Leila Bridgeman

Understanding the transition mechanism of boundary layer flows is of great significance in physics and engineering, especially due to the current development of supersonic and hypersonic aircraft. In this paper, we construct multiple…

Analysis of PDEs · Mathematics 2024-05-09 Nader Masmoudi , Yuxi Wang , Di Wu , Zhifei Zhang

We consider the problem of output feedback regulationfor a linear first-order hyperbolic system with collocatedinput and output in presence of a general class of disturbancesand noise. The proposed control law is designed through…

Analysis of PDEs · Mathematics 2017-10-20 Pierre-Olivier Lamare , Jean Auriol , Florent Di Meglio , Ulf Jakob F. Aarsnes

Direct Numerical Simulation (DNS) of a Mach 6 boundary layer over a flat plate is performed to assess the effect of spanwise non-uniform surface temperature on breakdown to turbulence under deterministic forcing. The streamwise location of…

Fluid Dynamics · Physics 2026-04-27 L. Boscagli , G. Rigas , P. J. K. Bruce , O. Marxen
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