A method for identification of nonlinear components of heat transer tensor for anisotropic materials

In this article the method for numerical solution of coefficient inverse problems of nonlinear heat transfer in anisotropic materials, used for heat shielding in aerodynamic heating of hypersonic craft (HC). At high temperatures the properties of anisotropic heat shield materials are characterized by nonlinear components of heat transfer tensor. It is necessary to identify and reconstruct these components by results of experimental measurements of temperature in spatial-temporal nodes.
The proposed method is based upon alternate-directions method with extrapolation for heat transfer problems, method of parametric identification and gradient descent method. There are results for reconstruction of heat transfer tensor components of carbon-carbon composite yielded via experimental values of nonlinear heat conduction of such materials. This method can be used for reconstruction of other numerous thermophysical characteristics of composites. Results of numerical experiments for identification of heat transfer tensor components of composites in 2D computational space are obtained and discussed.