Evolutionary algorithm

Evolution strategy

Concentrator

Materials science

Cloaking

Thermal conductivity

Metamaterial

Computer science

Mathematical optimization

Thermodynamics

Physics

Finite element method

CMA-ES

Mathematics

Optics

Thermal

Topology optimization

Composite material

Combinatorics

Topology (electrical circuits)

Thermal conduction

Optoelectronics

Cloak

International Journal of Heat and Mass Transfer

The simultaneous cloaking and concentrating of heat flux is achieved through topology optimization based on a covariance matrix adaptation evolution strategy by formulating the optimization problem of improving two different objective functions. The topology-optimized thermal cloak–concentrator realizes excellent bi-functionality (i.e., cloaking and concentrating) despite having a simple composition, and structural characteristics needed for simultaneous cloaking and concentrating are revealed adopting a level set method with clear structural interfaces. Moreover, a thermal cloak–concentrator that is robust against fluctuations of thermal conductivity is designed by improving a fitness incorporating multiple objective functions under various thermal conductivities.

Cloaking a concentrator in thermal conduction via topology optimization