Two-dimensional thermal invisible cloak processing method based on inverse identification and thermal invisible cloak

Abstract

The invention discloses a two-dimensional thermal invisible cloak processing method based on inverse identification and a thermal invisible cloak. The method comprises the following steps: establishing a two-dimensional coordinate system x-y and determining that an area enclosed by the two-dimensional coordinate system is a design area of a two-dimensional heat stealth cloak; solving a dimensionless temperature field control equation based on boundary conditions to obtain a dimensionless background temperature field of the design area; solving a control equation of the direct problem based onboundary conditions to obtain a dimensionless temperature field of the direct problem of the regional Z3 heat conductivity coefficient; solving an accompanying problem of the heat conductivity coefficient of the region Z3 to obtain a Lagrange multiplier; calculating a derivative and a conjugate coefficient of a target function of the heat conductivity coefficient of the region Z3 and an iterativedirection coefficient of the heat conductivity coefficient of the region Z3; solving the sensitivity problem of the heat conductivity coefficient of the region Z3, calculating the iteration step length of the heat conductivity coefficient of the region Z3, updating the heat conductivity coefficient of the region Z3, calculating the target function, if the value is small enough to meet the user requirement, finishing processing the heat conductivity coefficient of the region Z3, otherwise, returning 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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