Feedback control of monotonic shocks

The feedback control algorithm is developed to suppress oscillations caused by high resolution schemes. The stable propagation of the shock of the nonlinear advection equation is studied using the Lax-Wendroff and Warming- Beam second- order schemes. It is shown that the addition of one and the same...

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Bibliographic Details
Published in:Journal of physics. Conference series 2017-01, Vol.788 (1), p.12030
Main Authors: Porubov, A V, Bondarenkov, R S, Bouche, D, Fradkov, A L
Format: Article
Language:English
Subjects:
Algorithms
Control algorithms
Control systems
Control theory
Feedback control
Oscillations
Physics
Propagation
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Summary:The feedback control algorithm is developed to suppress oscillations caused by high resolution schemes. The stable propagation of the shock of the nonlinear advection equation is studied using the Lax-Wendroff and Warming- Beam second- order schemes. It is shown that the addition of one and the same control artificial term in both schemes results in efficient suppression of oscillations. The switch on/off the control is studied to demonstrate the role of the control in the stable monotonie shock propagation.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/788/1/012030