BOUNDARY VELOCITY CONTROL OF INCOMPRESSIBLE-FLOW WITH AN APPLICATION TO VISCOUS DRAG REDUCTION

被引：111

作者：

GUNZBURGER, MD

HOU, LS

SVOBODNY, TP

机构：

[1] UNIV LAVAL,DEPT MATH & STAT,QUEBEC CITY G1K 7P4,QUEBEC,CANADA

[2] WRIGHT STATE UNIV,DEPT MATH & STAT,DAYTON,OH 45435

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1992年 / 30卷 / 01期

关键词：

OPTIMAL CONTROL; NAVIER-STOKES EQUATIONS; BOUNDARY CONTROL; FINITE ELEMENT METHODS; DISTRIBUTED PARAMETER SYSTEMS;

D O I：

10.1137/0330011

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An optimal boundary control problem for the Navier-Stokes equations is presented. the control is the velocity on the boundary, which is constrained to lie in a closed, convex subset of H1/2 of the boundary. A necessary condition for optimality is derived. Computations are done when the control set is actually finite-dimensional, resulting in all application to viscous drag reduction.

引用

页码：167 / 181

页数：15