Feedback control of monotonic shocks

[摘要] 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.

[发布机构] Institute of Problems in Mechanical Engineering, Bolshoy 61, V.O., Saint Petersburg; 199178, Russia^1;St. Petersburg State Universitys, 7-9, Universitetskaya nab., V.O., Saint Petersburg; 199034, Russia^2;St. Petersburg State Polytechnical University, Polytechnicheskaya st. 29, Saint Petersburg; 195251, Russia^3;CMLA, ENS de Cachan, Cachan, France^4

[效力级别] 数学

[关键词] High resolution scheme;Monotonic shocks;Nonlinear advection equation;Second-order scheme;Shock propagation;Suppression of oscillations;Switch-on