MATHEMATICAL SIMULATION OF THE STRESSED-STRAINED STATE OF THE FOUNDATION OF EARTH DAMS WITH AN OPEN SURFACE UNDER THE INFLUENCE OF HEAT AND MASS TRANSFER IN THE TWO-DIMENSIONAL CASE

摘要

This paper considers the problem of mathematical simulation of the stressed-strained state of the foundation of the earth dam with account for the heat and mass transfer in the presence of a free surface of ground waters. We have obtained a numerical solution of the corresponding boundary-value problem in the two-dimensional case in the inverse formulation with the use of a computational algorithm based on numerical conformal mapping of the composition domain with a curved boundary and the finite difference method.