High-performance numerical method for searching the effective thermal conductivity of media with inhomogeneous macrostructure

When solving engineering problems, it is often necessary to know the physical properties of porous media with complex internal structure. In this paper we propose a technique for numerical modeling of heat conduction of this kind of bodies including non-conducting circular inclusions. This technique allows to calculate temperature fields and heat fluxes, as well as other parameters necessary for applications. One of such parameters demanded by practice is the effective thermal conductivity, which depends on the volume content of thermally insulated pores and their mutual location. The basis of the above studies is the indirect boundary element method proposed in this paper, based on pre-calculated analytical solutions, on which the decomposition is performed. In order to verify the developed methods, a comparison with the results of other authors is given in the paper. It showed a fairly good agreement.