Abstract Monte Carlo method (MCM) and finite volume method (FVM) are integrated to deal with combined conduction-radiation heat transfer problems in irregular geometries containing gray semitransparent media. The MCM is employed to get radiative heat source using blocked-off and embedded boundary treatments via Cartesian system. The FVM is adopted to solve the energy equation via unstructured grid system. The radiative heat source is implemented in the energy equation through geometrical mapping. The hybrid strategy is first validated regarding both pure radiation and conduction-radiation problems. Then, the features of the two boundary treatments are assessed through solving the conduction-radiation heat transfer problems in irregular geometries. The results show that both of them are highly satisfactory for calculating temperature distribution. In comparison with the embedded boundary treatment, the blocked-off treatment leads to obvious errors in predicting wall radiative heat flux for curved boundaries as well as the boundaries adjacent to the inner curved obstacle. Additionally, the hybrid strategy combined with embedded boundary treatment is promising in eliminating the ray effects.

中文翻译：

---

使用蒙特卡罗方法结合封闭和嵌入边界处理解决填充灰色半透明介质的不规则几何体中辐射传导的混合策略

摘要 将蒙特卡罗方法（MCM）和有限体积方法（FVM）相结合来处理包含灰色半透明介质的不规则几何体中的组合传导-辐射传热问题。MCM 用于通过笛卡尔系统使用封闭和嵌入式边界处理来获取辐射热源。采用FVM通过非结构化网格系统求解能量方程。辐射热源通过几何映射在能量方程中实现。混合策略首先在纯辐射和传导辐射问题方面得到验证。然后，通过求解不规则几何中的传导-辐射传热问题来评估两种边界处理的特征。结果表明，它们对于计算温度分布都非常满意。与嵌入边界处理相比，封闭处理导致弯曲边界以及与内部弯曲障碍物相邻的边界的壁面辐射热通量预测存在明显误差。此外，结合嵌入式边界处理的混合策略在消除射线效应方面很有前景。