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首页> 外文期刊>International Journal of Heat and Mass Transfer >A new model for simulating heat, air and moisture transport in porous building materials
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A new model for simulating heat, air and moisture transport in porous building materials

机译：模拟多孔建筑材料中热，空气和湿气传输的新模型

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This work presents a detailed mathematical model combined with an innovative efficient numerical model to predict heat, air and moisture transfer through porous building materials. The model considers the transient effects of air transport and its impact on the heat and moisture transfer. The achievement of the mathematical model is detailed in the continuity of LUIKOV'S work A system composed of two advection-diffusion differential equations plus one exclusively diffusion equation is derived. The main issue to take into account the transient air transfer arises in the very small characteristic time of the transfer, implying very fine discretisation. To circumvent these difficulties, the numerical model is based on the DU FORT-FRANKEL explicit and unconditionally stable scheme for the exclusively diffusion equation. It is combined with a two-step RUNGE-KUITA scheme in time with the SCHARFETTER-GUMMEL numerical scheme in space for the coupled advection-diffusion equations. At the end, the numerical model enables to relax the stability condition, and, therefore, to save important computational efforts. A validation case is considered to evaluate the efficiency of the model for a nonlinear problem. Results highlight a very accurate solution computed about 16 times faster than standard approaches. After this numerical validation, the reliability of the mathematical model is evaluated by comparing the numerical predictions to experimental observations. The latter is measured within a multi-layered wall submitted to a sudden increase of vapor pressure on the inner side and driven climate boundary conditions on the outer side. A very satisfactory agreement is noted between the numerical predictions and experimental observations indicating an overall good reliability of the proposed model. (C) 2019 Elsevier Ltd. All rights reserved.
机译：这项工作提出了详细的数学模型，并结合了创新的有效数值模型来预测通过多孔建筑材料的热量，空气和湿气的传递。该模型考虑了空气传输的瞬态效应及其对热量和水分传递的影响。 LUIKOV工作的连续性详细描述了该数学模型的实现。得出了一个由两个对流扩散方程和一个排他扩散方程组成的系统。考虑到瞬态空气传递的主要问题是在传递的特征时间非常短的情况下出现的，这意味着非常精细的离散化。为了避免这些困难，数值模型基于DU FORT-FRANKEL显式且无条件稳定的排他扩散方程式。它与两步RUNGE-KUITA方案及时结合，并在空间上采用了SCHARFETTER-GUMMEL数值方案，用于耦合的对流扩散方程。最后，数值模型可以放宽稳定性条件，因此可以节省重要的计算工作。考虑一个验证案例来评估非线性问题模型的效率。结果强调了一种非常精确的解决方案，其计算速度比标准方法快约16倍。在此数值验证之后，通过将数值预测与实验观察结果进行比较，评估数学模型的可靠性。后者是在多层壁中测量的，该多层壁在内侧经受蒸气压力的突然增加而在外侧承受驱动的气候边界条件。在数值预测和实验观察之间发现了非常令人满意的协议，表明了所提出模型的总体良好可靠性。 （C）2019 Elsevier Ltd.保留所有权利。

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