We present an asymptotic-preserving (AP) numerical method for solving the three-temperature radiative transfer model, which holds significant importance in inertial confinement fusion. A carefully designedsplitting method is developed that can provide a general framework of extending AP schemes for the gray radiative transport equation to the more complex three-temperature radiative transfer model. The proposed scheme captures two important limiting models: the three-temperature radiation diffusion equation (3TRDE) when opacity approaches infinity and the two-temperature limit when the ion-electron coupling coefficient goes to infinity. We have rigorously demonstrated the AP property and energy conservation characteristics of the proposed scheme and its efficiency has been validated through a series of benchmark tests in the numerical part.

翻译：我们提出了一种求解三温辐射输运模型的渐进保持（AP）数值方法，该方法在惯性约束聚变中具有重要意义。通过精心设计的分裂方法，我们建立了一个通用框架，可将灰体辐射输运方程的AP格式推广至更复杂的三温辐射输运模型。所提出的格式能够捕获两个重要的极限模型：当不透明度趋近无穷大时的三温辐射扩散方程（3TRDE），以及当离子-电子耦合系数趋近无穷大时的双温极限模型。我们严格论证了该格式的渐进保持性质和能量守恒特性，并通过数值部分的系列基准测试验证了其高效性。