Two-dimensional thermal invisibility cloak processing method and thermal invisibility cloak based on reverse identification

Abstract

A two-dimensional thermal invisibility cloak processing method based on reverse identification and a thermal invisibility cloak, the method comprising: establishing a two-dimensional coordinate system x-y and determining that the area surrounded by the two-dimensional coordinate system is a design area of ​​a two-dimensional thermal invisibility cloak, Solve the governing equation of the dimensionless temperature field based on the boundary conditions to obtain the dimensionless background temperature field of the design area, solve the governing equation of the direct problem based on the boundary conditions to obtain the dimensionless temperature field of the direct problem of the thermal conductivity of the region Z3, and solve the thermal conductivity of the region Z3 Accompany the problem to obtain the Lagrangian multiplier, calculate the derivative of the objective function of the thermal conductivity of the region Z3, the conjugate coefficient, and the iterative direction coefficient of the thermal conductivity of the region Z3, solve the sensitivity problem of the thermal conductivity of the region Z3, and calculate the thermal conductivity of the region Z3 The iterative step of , update the thermal conductivity of zone Z3, and calculate the objective function, if the value is small enough to meet the user's requirements, the thermal conductivity of zone Z3 is processed, otherwise return to the third step.

Description

technical field [0001] The invention belongs to the field of thermal invisibility cloaks, in particular to a method for processing a two-dimensional thermal invisibility cloak and a thermal invisibility cloak based on reverse identification. Background technique [0002] The problem of heat flow stealth is another emerging field after the rapid development of electromagnetic wave and sound wave stealth. Since the heat conduction equation and Maxwell's equation also have form invariance, inspired by the electromagnetic cloak, the coordinate transformation method was extended to the field of heat transfer, and a thermal cloak based on metamaterials was developed through the design of physical parameters. A thermal invisibility cloak generally consists of two parts: the hidden area and the cloak area. After placing the thermal invisibility cloak in the temperature field, the temperature field outside the cloak will not have any disturbance due to the existence of the thermal i...

AI Technical Summary

Problems solved by technology

However, the coordinate change method requires a large number of complex mathematical analysis when designing a thermal cloak, so it cannot be applied to the design of thermal cloaks with complex structures.

At the same time, the thermal cloak designed by the coordinate change method requires the physical parameters to have non-uniform anisotropy, and even singularity in some positions, which brings great difficulties to the actual production of the thermal cloak

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