Mathematical Modeling of Changes in the Temperature of the Soil Environment in the Python Programming Language

A calculation module for predicting temperature changes in the soil base using numerical modeling with the help of finite elements is presented. A detailed algorithm for the implementation of the temperature problem is presented, indicating the accepted physical equations; accepted methods for generating local stiffness matrices and mass matrix; methods for generating local vectors of the right side; accepted method of solving the problem in time. The description of the used scientific software libraries in the python programming language for generating a finite element mesh for computational domains is given. Verification of the calculation results obtained by the authors is confirmed by the high convergence of the temperature values in the soil base, which were obtained in the Termoground calculation module.

I.I. SAKHAROV, Doctor of Sciences (Engineering), (This email address is being protected from spambots. You need JavaScript enabled to view it.),
V.M. POLUNIN, Engineer (This email address is being protected from spambots. You need JavaScript enabled to view it.),
P.V. LITVINOV, Student, (This email address is being protected from spambots. You need JavaScript enabled to view it.)

St. Petersburg State University of Architecture and Civil Engineering (4, 2nd Krasnoarmeyskaya Street, St. Petersburg, 190005, Russian Federation)

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