线性热桥仿真BEM实用程序

A. Werner-Juszczuk, P. Rynkowski
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引用次数: 2

摘要

本文旨在证明边界元方法在复杂多区域,特别是热桥中模拟二维传热的实用性。提出了边界元法作为商业软件中常用的热桥温度场和热流密度模拟的替代方法,网格法(FEM, FDM)。提出了一种具有Robin边界条件的边界元算法,用于模拟复杂多区域的二维传热。用编写的Fortran程序进行了仿真。根据EN ISO 10211:2007标准对所开发的数学算法和计算机程序进行了验证。介绍了住宅建筑中常见的两个复杂热桥的实例。对ISO标准中列出的两个参考案例的分析,证实了所提出的BEM算法和Fortran程序在线性热桥模拟中的实用性。标准ISO中所引用的条件,满足于边界元素数量相对较少的模型。所进行的验证为边界元法作为一种有效的建筑构件传热建模方法的进一步发展以及在商业软件中的预期应用奠定了基础。
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BEM Utility for Simulation of Linear Thermal Bridges
This paper aims to prove utility of the boundary element method for modelling 2D heat transfer in complex multiregions, particularly in thermal bridges. It proposes BEM as an alternative method commonly applied in commercial software for simulation of temperature field and heat flux in thermal bridges, mesh methods (FEM, FDM).The BEM algorithm with Robin boundary condition is developed for modelling 2D heat transfer in complex multi-regions. Simulation is performed with the authoring Fortran program. The developed mathematical algorithm and computer program are validated according to standard EN ISO 10211:2007. Two examples of complex thermal bridges that commonly appears in house building are presented. Analysis of two reference cases, listed in standard ISO, confirms utility of the proposed BEM algorithm and Fortran program for simulation of linear thermal bridges. Conditions, quoted in standard ISO, are satisfied with models of a relatively small number of boundary elements. Performed validation constitutes the base for further development of BEM as an efficient method for modelling heat transfer in building components, and for the prospective application in commercial software.
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