An optimization method for the problems of thermal cloaking of material bodies

被引：21

作者：

Alekseev, G. V. ^{[1
,3
]}

Levin, V. A. ^{[2
,3
]}

机构：

[1] Russian Acad Sci, Inst Appl Math, Far East Branch, Vladivostok 690041, Russia

[2] Russian Acad Sci, Inst Automat & Control Proc, Far East Branch, Vladivostok 690041, Russia

[3] Far East Fed Univ, Vladivostok 690950, Russia

来源：

DOKLADY PHYSICS | 2016年 / 61卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

Heat transfer - Heat flux - Problem solving;

D O I：

10.1134/S102833581611001X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Inverse heat-transfer problems related to constructing special thermal devices such as cloaking shells, thermal-illusion or thermal-camouflage devices, and heat-flux concentrators are studied. The heatdiffusion equation with a variable heat-conductivity coefficient is used as the initial heat-transfer model. An optimization method is used to reduce the above inverse problems to the respective control problem. The solvability of the above control problem is proved, an optimality system that describes necessary extremum conditions is derived, and a numerical algorithm for solving the control problem is proposed.

引用

页码：546 / 550

页数：5

共 11 条

[1] Optimization method of searching parameters of an inhomogeneous liquid medium in the acoustic cloaking problem [J].

Alekseev, G. V. ;

Levin, V. A. .

DOKLADY PHYSICS, 2014, 59 (02) :89-93

[2] Optimization in problems of material-body cloaking using the wave-flow method [J].

Alekseev, G. V. .

DOKLADY PHYSICS, 2013, 58 (04) :147-151

[3]

Alekseev G. V, 2010, Optimization in stationary problems of heat and mass transfer and magnetohydrodynamics

[4]

Alifanov O.M., 1988, Inverse Heat Transfer Problems

[5] Transformation thermodynamics: cloaking and concentrating heat flux [J].

Guenneau, Sebastien ;

Amra, Claude ;

Veynante, Denis .

OPTICS EXPRESS, 2012, 20 (07) :8207-8218

[6] Transformation Laplacian metamaterials: recent advances in manipulating thermal and dc fields [J].

Han, Tiancheng ;

Qiu, Cheng-Wei .

JOURNAL OF OPTICS, 2016, 18 (04)

[7] THREE-DIMENSIONAL THERMAL CLOAK WITH HOMOGENEOUS AND NONSINGULAR CONDUCTIVE MATERIALS [J].

Han, Tiancheng ;

Wu, Zhengmao .

PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2013, 143 :131-141

[8] Homogeneous Thermal Cloak with Constant Conductivity and Tunable Heat Localization [J].

Han, Tiancheng ;

Yuan, Tao ;

Li, Baowen ;

Qiu, Cheng-Wei .

SCIENTIFIC REPORTS, 2013, 3

[9] Illusion thermodynamics: A camouflage technique changing an object into another one with arbitrary cross section [J].

He, Xiao ;

Wu, Linzhi .

APPLIED PHYSICS LETTERS, 2014, 105 (22)

[10] Heat Flux Manipulation with Engineered Thermal Materials [J].

Narayana, Supradeep ;

Sato, Yuki .

PHYSICAL REVIEW LETTERS, 2012, 108 (21)

← 1 2 →