The finite element method is applied to solve the radiative heat transfer equation and energy conservation equation discretely.This paper provides an exact solution of the mean incident intensity and the temperature distribution in a rectangular geometry in a absorbing,emitting,isotropically scattering media enclosed by black and gray diffuse surfaces.The validity of this method is examined by comparing the present results with the those available of Monte Carlo simulation (M-C).Numerical results show that the present method can satisfactorily predict the radiation transfer.

Pseudo-random number generator(PNG) is necessary in the computing works using Monte-Carlo method.The main error lies in the calculation of pseudo-random number to influence the accuracy of the calculation by the Monte-Carlo method.In this paper,a new more sufficient method through which one can hope a better outcome-the STTDMR (symmetry test in two dimension media radiation)is presented.The STTDMR is feasible under several of conditions to test unlimited the PNG.Good generators may be distinguished from bad ones more successfully in further level.The STTDMR is used to test not only properties of pseudo-random numbers but also the correctness of the probability models.In order to give a full view of the STTDMR,the STTDMR is applied to test several PNGs,and finally a PNG-ZH which is better than traditional PNG in many ways is obtained.

The finite-volume method for the radiative heat transfer is applied to linearly anisotropic plane-parallel scattering media.The results are compared with those obtained by the existing exact solutions,the radiation element method and the Monte Carlo method.It is shown that the results obtained by the finite-volume method are reliable.According to the analysis,the effect of the phase functions on the radiative heat transfer has some definite regularity.Furthermore,it is found that the ratio of the dimensionless heat flux in two two-dimension slabs with different scattering phase functions is a monotonous function of the optical thickness.It can be used as a benchmark to verify the results obtained with other methods.