This paper presents a mathematical model of fire phenomena and its numerical solution method in consideration of chemical reactions, air movement and radiative heat transfer, and primarily consists of

(1)	Estimation method of radiative heat transfer in absorptive medium
(2)	Mathematical formulation of the behavior of strongly heated turbulent flow of air
(3)	Numerical calculation method of the non-linear difference equations for the behavior of compressible fluid flow by a finite difference method