Solution stability of unsteady boundary problem of building wall temperature profile

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Solution stability of unsteady boundary problem of building wall temperature profile

Journal Title: Bulletin of the Military University of Technology - Year 2015, Vol 64, Issue 2

Abstract

One of the most simplest and versatile methods 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, the adopted solution can be applied to the study of resistance of buildings shelters to long fire.[b]Keywords[/b]: numerical stability, shelter buildings, the temperature profile in the wall

Authors and Affiliations

Mariusz Owczarek, Weronika Radzikowska-Juś

Keywords

Numerical Stability shelter buildings the temperature profile in the wall

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EP ID EP62778
DOI -
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