IMPLEMENTATION OF THE BOUNDARY ELEMENT METHOD TO TWO-DIMENSIONAL HEAT TRANSFER WITH THERMAL BRIDGE EFFECTS

Abstract

The work presents an application of the boundary element method applied to a two-dimensional conductive heat transfer. The algorithm of the method is explained and its advantages are outlined. Green’s function as a fundamental solution for Poisson’s equation in two dimensions was used and the direct approach was applied. The presented results concern building construction elements as typical cases of thermal bridges. Some properties of the boundary element method which give new possibilities were considered. For instance, forcing selected values of temperature on inner edges of the considered domain or local increasing of the temperature field resolution. The simulations were performed with the author’s own algorithm.