High-order Spherical Harmonic Methods for Solving Radiative Transfer Equations:Model Development and Implementation in ANSYS-Fluent Software
In order to improve the status that the spherical harmonics method in the ANSYS-Fluent soft-ware is limited to its lowest order(P1)form for radiation heat transfer calculations,based on the basic principles of solving the radiative transfer equation using high-order spherical harmonics,by coupling the numerical solution of the governing equations and boundary conditions using the user-defined function(UDF)and user-defined scalar(UDS)interfaces provided in the ANSYS-Fluent software,a high-order spherical harmonics radiation transfer equation solution model suitable for the software was developed.The model accuracy was verified by calculating the radiative heat transfer in one-dimensional,two-dimen-sional flat plates,and two-dimensional axisymmetric flame,and comparing with the corresponding analyti-cal or photon Monte Carlo(PMC)solutions.Results show that the P3 model developed in this paper is more accurate than the built-in P1 model of ANSYS-Fluent software in calculating both the angular distri-bution of radiation intensity and the overall radiative heat source.
radiative heat transferradiative transfer equationspherical harmonicsuser definition func-tion