Numerical Solutions for Heat Transfer Problems in Building Engineering

Heat transfer analysis in building engineering is critical for optimizing energy consumption, improving thermal comfort, and enhancing sustainability. This paper presents a comprehensive review of numerical methods applied to solve heat transfer problems in building structures. Finite Difference Method (FDM), Finite Element Method (FEM), and Computational Fluid Dynamics (CFD) are examined for their application in conduction, convection, and radiation heat transfer within buildings. Case studies demonstrate the effectiveness of these techniques in predicting temperature distributions and energy losses. The study includes simulation results highlighting transient thermal behavior in a typical multi-layered wall assembly. Challenges in model accuracy, computational efficiency, and integration with building energy management systems are discussed. The findings emphasize the importance of advanced numerical methods in modern building design for sustainable energy use.