STABILNOŚĆ ROZWIĄZANIA ZAGADNIENIA BRZEGOWEGO NIESTACJONARNEGO PROFILU TEMPERATURY W PRZEGRODZIE BUDOWLANEJ

Abstract

One of the most simple and versatile method for numeric solving of the problems of transient heat conduction in the building envelope is the finite volume method. In explicit scheme however there is a problem of assuming correct time step for solution stability. In this article stable step value was determined from the condition of zero difference between the theoretical and numerical solution for the particular geometry of the wall. The influence of the thermal conductivity on the step length has been evaluated. Condition for the correctness of solutions obtained from the analysis in this article is sharper than the condition of equations stability according to the literature. For the boundary conditions adopted solution can be applied to the study of resistance of buildings shelters to long fire.

PDF (Język Polski)

References

Wiśniewski S., Wiśniewski S.W., Wymiana ciepła, WNT, Warszawa, 2009.

Szargut J.(red.), Modelowanie numeryczne pól temperatury, WNT 1992

Taler J., Duda P., Rozwiązywanie prostych i odwrotnych zagadnień przewodzenia ciepła, WNT 2003.