Meshless Numerical Analysis of Phase Change Problems in Artificial Freezing Technology Applied in Geo-Media

Abstract

Numerical solutions to heat conduction problems involving phase change have traditionally been obtained using the grid-based finite difference or finite element methods. However, due to the unique mathematical form of the equations and the limitations of the grid algorithm, difficulties may arise in solutions. In this study, smooth particle hydrodynamics (SPH) method is used to calculate heat conduction with phase change so as to obtain reasonable numerical solutions. An SPH-based program is presented, and its practicality and reliability are verified through a benchmark problem. Based on the unidirectional freezing test, the validity and accuracy of the soil freezing model considering the phase change effect is verified compared with the finite element results. Then, artificial freezing technology is applied in geo-media, where the heat conduction with phase change during soil freezing is simulated. The temperature distribution characteristics around freezing pipes and the development of thermal regime of characteristic points with time are obtained. The frozen front development is analyzed, considering different freezing-pipe temperatures and different thermal parameters for the media. The findings of this study may provide a reference for the design of future engineering applications using artificial freezing technology.