CALCULATION OF TEMPERATURE FIELDS
IN THE GROUND WITH WATER-ICE PHASE
TRANSITIONS IN THE TEMPERATURE SPECTRUM

G. P. Brovka and S. N. Ivanov

UDC 551.341

An algorithm of integration of the nonlinear heat-conduction 
equation for a semi-bounded medium with a uniform initial distribution 
of temperature and its constant value on the surface in the case of 
nonlinear dependence of thermophysical characteristics on temperature 
is described. This algorithm can be used to test numerical grid methods 
of calculation of temperature fields in freezing and thawing of grounds. 
The procedure of correction of a step-by-step mechanism of temperature 
variation in numerical calculation in the zone of intense phase transitions 
by a grid method was suggested and tested.

Institute of Problems of Utilization of Natural Resources 
and the Environment, National Academy of Sciences of Belarus, 10 Staroborisovskii 
Tract, Minsk, 220114, Belarus; email: fcmnds@nc.ecology.ac.by. Translated 
from Inzhenerno-Fizicheskii Zhurnal, Vol. 77, No. 6, pp. 112-119, 
November-December, 2004. Original article submitted December 4, 
2003.