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高阶球形谐波法求解辐射传输方程:模型开发与ANSYS-Fluent软件实现

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为了改善ANSYS-Fluent软件中用于辐射传热计算的球形谐波法仅限于其最低阶(P1)形式的现状,基于高阶球形谐波法求解辐射传输方程的基本原理,利用ANSYS-Fluent软件提供的用户自定义函数(UDF)和用户自定义标量(UDS)接口,通过对控制方程和边界条件的耦合数值求解,开发了适用ANSYS-Fluent软件的高阶球形谐波法辐射传输方程求解模型.模型的精度通过对一维、二维平板及二维轴对称火焰的辐射传热进行计算,并且与相应的精确解或光子蒙特卡罗(PMC)解进行对比来实现.结果表明:开发的P3模型相比于ANSYS-Fluent软件中自带的P1模型无论是在计算辐射强度的角空间分布还是在辐射传热的总体热源方面都更加准确.
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

庞佳婕、王良、曾琦、曹俊、任涛

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上海交通大学中英国际低碳学院,上海 201306

中国航发湖南动力机械研究所,湖南株洲 412002

辐射传热 辐射传输方程 球形谐波 自定义函数

2025

动力工程学报
中国动力工程学会 上海发电设备成套设计研究院

动力工程学报

北大核心
影响因子:0.991
ISSN:1674-7607
年,卷(期):2025.45(1)