A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites-Robin Boundary Conditions

Materials (Basel). 2021 Oct 23;14(21):6329. doi: 10.3390/ma14216329.

Abstract

This note deals with the heat conduction issue in biperiodic composites made of two different materials. To consider such a nonuniform structure, the equations describing the behavior of the composite under thermal (Robin) boundary conditions were averaged by using tolerance modelling. In this note, the process of creating an algorithm that uses the finite difference method to deal with averaged model equations is shown. This algorithm can be used to solve these equations and find out the temperature field distribution of a biperiodic composite.

Keywords: biperiodic structures; composite; finite difference method; heat conduction.