Ключевое слово: «heat transfer»

Understanding heat and mass transfer processes, especially those involving phase transitions, is fundamental for engineering applications in permafrost regions. These processes significantly influence the stability and design of structures, making accurate modeling a critical challenge. This research presents a robust mathematical model coupled with a numerical method to analyze the interplay of heat transfer, fluid motion, and phase transitions. By employing advanced finite element methods, the study provides a reliable tool for simulating scenarios that mimic real-world conditions in frozen soils. The simulations, performed across various geometric configurations, demonstrate the model's effectiveness in capturing complex dynamic phenomena, such as the movement of fluids and temperature evolution during phase transitions. These insights are particu-larly valuable for designing resilient infrastructure, such as pipelines and foundations, in harsh, extreme climates where permafrost stability is a critical concern. The study thus bridges the gap between theoretical modeling and practical engineering solutions.