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

庞佳婕; 王良; 曾琦; 曹俊; 任涛

doi:10.19805/j.cnki.jcspe.2025.230654

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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

基础研究 | 更新时间：2026-02-05

- 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
- High-order Spherical Harmonic Methods for Solving Radiative Transfer Equations: Model Development and Implementation in ANSYS-Fluent Software
- 动力工程学报 2025年45卷第1期页码：1-9
- 作者机构：
  
  1. 上海交通大学中英国际低碳学院,上海,201306
  2. 中国航发湖南动力机械研究所,湖南,株洲,412002
- 作者简介：
  
  [ "庞佳婕(1999—),女,辽宁大连人,硕士研究生,研究方向为辐射传输模型" ]
  [ "任涛(通信作者),男,副教授,博士,E-mail:tao.ren@sjtu.edu.cn" ]
- 基金信息：
  
  国家自然科学基金资助项目(52276077)
- DOI：10.19805/j.cnki.jcspe.2025.230654
  中图分类号： TK124;O241.82
- 网络首发：2025-01-15，
  
  纸质出版：2025
- 稿件说明：
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庞佳婕,王良,曾琦,曹俊,任涛. 高阶球形谐波法求解辐射传输方程:模型开发与ANSYS-Fluent软件实现动力工程学报, 2025, 45(1): 1-9 https://doi.

org/10.19805/j.cnki.jcspe.2025.230654
庞佳婕,王良,曾琦,曹俊,任涛. 高阶球形谐波法求解辐射传输方程:模型开发与ANSYS-Fluent软件实现动力工程学报, 2025, 45(1): 1-9 https://doi. DOI： 10.19805/j.cnki.jcspe.2025.230654.

org/10.19805/j.cnki.jcspe.2025.230654 DOI：

摘要

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。

Abstract

In order to improve the status that the spherical harmonics method in the ANSYS-Fluent software 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-dimensional flat plates

and two-dimensional axisymmetric flame

and comparing with the corresponding analytical 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 distribution of radiation intensity and the overall radiative heat source.

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references

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