Институт вычислительной математики
и математической геофизики

The International Conference on Computational Mathematics


Numerical solution of differential and integral equations

Difference method of the solution of a problem of temperature pressure

Burnasheva A.G.

Institute of mathematics and informatics of Yakutsk state university (Yakutsk)

As modelling it is considered problem termo-elasticity at cooling a core from one end and absence of movings on borders. In a case when downturn of temperature in a core causes occurrence of mobile border of phase transition of frozen and thawed zones, for a thermal problem statement of a biphase problem of the Stefan is used. For definition of fields of movings and pressure the problem for the equation of balance in movings is put under zero regional conditions. Presence of mobile border of phase transition results in necessity of the formulation at the front a condition for gallop of the deformations, caused by a difference of density of phases, and also a condition of a continuity on movings. At the numerical solution of a task in view homogeneous difference circuits of the through account are used.

Note. Abstracts are published in author's edition

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