Title :
The boundary element method for boundary control of the linear Stokes flow
Author :
Ji, Link ; Zhou, Jianxin
Author_Institution :
Dept. of Math., Texas A&M Univ., College Station, TX, USA
Abstract :
As a first step in the understanding of boundary control for the general nonlinear Navier-Stokes flow, the authors use the boundary element method to compute the solutions of a linear-quadratic optimal control problem governed by the linear Stokes flow on a bounded three-dimensional domain. The domain is chosen as a unit sphere and the boundary control is the viscous stress on the boundary. Numerical solutions are illustrated by computer graphics
Keywords :
Navier-Stokes equations; boundary-elements methods; distributed parameter systems; optimal control; physics computing; boundary control; boundary element method; general nonlinear Navier-Stokes flow; linear Stokes flow; linear-quadratic optimal control; Boundary element methods; Computer graphics; Fluid flow control; Integral equations; Mathematics; Navier-Stokes equations; Nonlinear control systems; Nonlinear equations; Optimal control; Stress control;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203794
