The purpose of this article is to present and validate a computationally efficient numerical approach for the calculation of the ground-coupled heat transfer in buildings with periodic boundary conditions. When the boundary conditions of the heat transfer problem are described by periodic functions, it is possible to consider the transient state problem as a quasi-stationary problem with considerable savings in terms of computational time. The method is presented in detail from a mathematical point of view, together with a validation for two simple cases of slab-on-grade thermal losses, four comparisons with the ISO 13370:2007 procedure, a case with a complex shape and an evaluation of the computational efficiency.

本文的目的是提出并验证一种计算有效的数值方法，用于计算具有周期性边界条件的建筑物中的地面耦合传热。当通过周期函数描述传热问题的边界条件时，可以将瞬态问题视为准平稳问题，并且在计算时间方面节省了很多时间。从数学的角度详细介绍了该方法，并针对两种简单的板级热损失案例进行了验证，与ISO 13370：2007程序进行了四次比较，对形状复杂的案例进行了评估。计算效率。