TY - JOUR
T1 - An Extended Domain Method for Optimal Boundary Control for Navier-Stokes Equations
AU - Manservisi , Sandro
JO - International Journal of Numerical Analysis and Modeling
VL - 3-4
SP - 584
EP - 607
PY - 2007
DA - 2007/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/879.html
KW - optimal boundary control, optimal design, Navier-Stokes equations, velocity matching problem.
AB - <p style="text-align: justify;">The matching velocity problem for the steady-state
Navier-Stokes system is considered. We introduce an extended domain
method for solving optimal boundary control problems. The Lagrangian
multiplier method is applied to the extended domain with distributed
controls and used to determine the optimality system and the control
over the boundary of the inner domain. The existence, the
differentiability and the optimality system of the control problem are
discussed. With this method inflow controls are shown to be numerical
reliable over a large admissible control set. Numerical tests for
steady-state solutions are presented to prove the effectiveness and
robustness of the method for flow matching.</p>