MINIMUM DRAG SHAPE IN 2-DIMENSIONAL VISCOUS-FLOW

被引：21

作者：

KIM, DW ^{[1
]}

KIM, MU ^{[1
]}

机构：

[1] KOREA ADV INST SCI & TECHNOL,DEPT MECH ENGN,TAEJON 305701,SOUTH KOREA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1995年 / 21卷 / 02期

关键词：

SMALLEST DRAG; FIRST-ORDER NECESSARY CONDITION; 2ND-ORDER NECESSARY CONDITION;

D O I：

10.1002/fld.1650210202

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The problem of finding the shape of a body with smallest drag in a flow governed by the two-dimensional steady Navier-Stokes equations is considered. The flow is expressed in terms of a streamfunction which satisfies a fourth-order partial differential equation with the biharmonic operator as principal part. Using the adjoint variable approach, both the first- and second-order necessary conditions for the shape with smallest drag are obtained. An algorithm for the calculation of the optimal shape is proposed in which the first variations of solutions of the direct and adjoint problems are incorporated. Numerical examples show that the algorithm can produce the optimal shape successfully.

引用

页码：93 / 111

页数：19

共 50 条

[31] ON THE EXTERIOR 3-DIMENSIONAL SLOW VISCOUS-FLOW PROBLEM
FISCHER, TM
HSIAO, GC
WENDLAND, WL
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1984, 64 (05): : T276 - T278
[32] Model for drag forces in the crevice of piston gauges in the viscous-flow and molecular-flow regimes
Process Measurements Division, Natl. Inst. of Std. and Technology, Gaithersburg, MD 20899, United States
不详
[J]. Metrologia, 6 (565-570):
[33] Complementary extremum principle for minimum drag in slow viscous flow
Curtis, J. P.
[J]. THEORETICAL AND EXPERIMENTAL ASPECTS OF FLUID MECHANICS: PROCEEDINGS OF THE 5TH WSEAS INTERNATIONAL CONFERENCE ON FLUID MECHANICS (FLUIDS '08), 2008, : 47 - 52
[34] HARMONIC ANALYSIS OF THE 2-DIMENSIONAL FLOW OF AN INCOMPRESSIBLE VISCOUS FLUID
DEFERIET, JK
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1948, 6 (01) : 1 - 13
[35] 2-DIMENSIONAL, AXISYMMETRIC ROTATIONAL FLOW OF A VISCOUS-FLUID
REISMANN, H
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1975, 55 (7-8): : 443 - 445
[36] MICROSCOPIC MODEL FOR VISCOUS-FLOW IN 2 DIMENSIONS
HARDY, J
POMEAU, Y
[J]. PHYSICAL REVIEW A, 1977, 16 (02): : 720 - 726
[37] 2-DIMENSIONAL FLOW UNDER GRAVITY IN A JET OF VISCOUS LIQUID
CLARKE, NS
[J]. JOURNAL OF FLUID MECHANICS, 1968, 31 : 481 - &
[38] AIRFOIL SHAPE OPTIMIZATION USING SENSITIVITY ANALYSIS ON VISCOUS-FLOW EQUATIONS
ELESHAKY, ME
BAYSAL, O
[J]. JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 1993, 115 (01): : 75 - 84
[39] 3-DIMENSIONAL VISCOUS-FLOW ANALYSIS FOR CENTRIFUGAL IMPELLERS
RHIE, CM
DELANEY, RA
MCKAIN, TF
[J]. JOURNAL OF PROPULSION AND POWER, 1985, 1 (04) : 257 - 258
[40] Three-dimensional simulation of viscous-flow agglomerate sintering
Kirchhof, M. J.
Schmid, H. -J.
Peukert, W.
[J]. PHYSICAL REVIEW E, 2009, 80 (02):

← 1 2 3 4 5 →