Optimal control in Navier-Stokes equations

被引：15

作者：

Maruoka, A ^{[1
]}

Marin, M ^{[1
]}

Kawahara, M ^{[1
]}

机构：

[1] Chuo Univ, Dept Civil Engn, Bunkyo Ku, Tokyo 112, Japan

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS | 1998年 / 9卷 / 3-4期

关键词：

optimal control; Navier-Stokes equations; incompressible flow; finite element method;

D O I：

10.1080/10618569808940862

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper presents a formulation for optimal control of a forced convection flow. The state equation that governs the forced convection flow can be expressed as the incompressible Navier-Stokes equations and energy equation. The optimal control can be formulated as finding a control force to minimize a performance function that is defined to evaluate a control object. The stabilized finite element method is used for the spatial discretization, while the Crank-Nicolson scheme is used for the temporal discretization, The Sakawa-Shindo method, which is an iterative procedure, is applied for minimizing the performance function.

引用

页码：313 / 322

页数：10

共 3 条

[1] A NEW FINITE-ELEMENT FORMULATION FOR COMPUTATIONAL FLUID-DYNAMICS .5. CIRCUMVENTING THE BABUSKA-BREZZI CONDITION - A STABLE PETROV-GALERKIN FORMULATION OF THE STOKES PROBLEM ACCOMMODATING EQUAL-ORDER INTERPOLATIONS [J].

HUGHES, TJR ;

FRANCA, LP ;

BALESTRA, M .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 59 (01) :85-99

[2] ON GLOBAL CONVERGENCE OF AN ALGORITHM FOR OPTIMAL-CONTROL [J].

SAKAWA, Y ;

SHINDO, Y .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (06) :1149-1153

[3] INCOMPRESSIBLE-FLOW COMPUTATIONS WITH STABILIZED BILINEAR AND LINEAR EQUAL-ORDER-INTERPOLATION VELOCITY-PRESSURE ELEMENTS [J].

TEZDUYAR, TE ;

MITTAL, S ;

RAY, SE ;

SHIH, R .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 95 (02) :221-242

← 1 →