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Control of nonlinear shock waves propagation for isothermal Euler equations
Author(s) -
Porubov Alexey,
Bondarenkov Roman,
Bouche Daniel,
Fradkov Alexander
Publication year - 2018
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201700217
Subject(s) - shock wave , nonlinear system , euler equations , isothermal process , shock (circulatory) , euler's formula , physics , wave propagation , mechanics , mathematical analysis , classical mechanics , mathematics , thermodynamics , optics , medicine , quantum mechanics
The feedback control algorithm is applied to provide stable propagation of the shock waves for nonlinear isothermal Euler equations even if the desired profile and velocity of the wave do not correspond to their analytical solution. Also the control algorithm helps to suppress scheme oscillations on the shock wave solutions, this is studied on an example of the Lax‐Wendroff second‐order scheme.