Radiative heat transport involving complex geometries is an important area of investigation. The formulation of the transport phenomenon is more involved and consideration of the proper treatment of the irregular geometry becomes necessary for accurate estimation of heat transfer rates. Therefore, the present study focuses on the modeling and the solution of the radiative transfer equation (RTE) in an absorbing, emitting, and isotropically scattering, participating media for complex geometries using the body-fitted coordinates. The RTE in an orthogonal coordinate system is formulated and is then numerically solved in conjunction with a numerically generated, body-fitted, curvilinear coordinate system. The geometries are considered to be opaque and, in the analysis, both the radiative as well as the non-radiative equilibrium cases are considered. The formulation is validated through the previously published results. Notable agreement is observed between the results and those reported earlier for different complex geometries and various properties of the participating media.

中文翻译：

---

使用正交坐标计算复杂几何形状中的辐射传输

涉及复杂几何形状的辐射热传输是一个重要的研究领域。传输现象的公式化更加复杂，并且为了准确估计传热速率，需要考虑对不规则几何形状的正确处理。因此，本研究的重点是使用贴体坐标对复杂几何形状的吸收、发射和各向同性散射参与介质中的辐射传递方程（RTE）进行建模和求解。正交坐标系中的 RTE 被公式化，然后结合数值生成的贴体曲线坐标系进行数值求解。几何形状被认为是不透明的，并且在分析中，辐射平衡情况和非辐射平衡情况都被考虑。该配方通过之前发布的结果进行了验证。对于不同的复杂几何形状和参与介质的各种属性，结果与之前报告的结果之间观察到显着的一致性。