Numerical Simulation of Heat Transfer of the Pile Foundations with Permafrost

摘要

In this work we consider the numerical simulation of the dynamics of soil temperature in a permafrost area. The mathematical formulation of the problem with appropriate initial and boundary conditions is presented. A computational algorithm is based on the finite element approximation in space. To approximate in time we use the standard fully implicit scheme with linearisation from previous time layer. We present results of research of temperature stabilization time and the impact of presence of piles on the temperature of the surrounding soil. Numerical comparisons of two-dimensional and three-dimensional model problems are presented.