Numerical Analysis of Heat Flow in Fire Compartment using SIMPLE Algorithm

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Journal of Korean Institute of Fire Science and Engineering 1992;6(1):17-22.
Published online March 31, 1992.

SIMPLE Algorithm을 이용한 화재실의 열 유체의 수치해석

김광선손봉세

¹한국기술교육대²경원전문대

Numerical Analysis of Heat Flow in Fire Compartment using SIMPLE Algorithm

Abstract

We have derived the general transfer equation for governing the continuity, energy transfer, mass and momentum transfer, and turbulent energy dissipation rate within the fire compartment which has the 800t fire source at the center of the floor. The governing transfer equations have been descretized using the finite volume approach and numerically experimented under the SIMPLE algorithm. In order for the SIMPLE algorithm approach to be physically reliable, the test results are compared with those of Morita's SOR Method using Conjugate Residual Method and found to be close to physical values though the computational convergence time still remains to be upgraded. The treatment of source terms in the system of finite difference equations has been critical in order to converge the governing equations within the appropriate time steps. The criteria of convergence allowance for the whole domain have been checked and the sudden change of the non-linear effects from the source term have been avoided. The criteria has been allowed to be for 5$ imes$10$^{-5}$ .

Key Words: Numerical Analysis, SIMPLE Algorithm, Fire Compartment, Compressible Fluid, K-$varepsilon$Model, Fire Simulation