辐射流体力学的高阶Godunov方法：辐射子系统
A Higher Order Godunov Method for Radiation Hydrodynamics: Radiation Subsystem
AI总结：
提出一种针对辐射流体力学辐射子系统的高阶Godunov方法，通过Duhamel原理预测步和Picard迭代校正步直接耦合刚性源项效应，实现时空二阶精度、无分裂、渐近保持，并在光子自由流到强平衡扩散极限下均匀良好表现。
摘要：
提出了一种用于辐射流体力学辐射子系统的高阶Godunov方法。该方法的一个关键要素是将刚性源项效应直接耦合到守恒律系统的双曲结构中；它由基于Duhamel原理的预测步和基于Picard迭代的校正步组成。该方法在时间和空间上均为二阶精度，无分裂，渐近保持，并且在从光子自由流（双曲）极限到弱平衡扩散（抛物）极限再到强平衡扩散（双曲）极限的范围内均匀良好表现。数值测试表明，在各种参数区域中均具有二阶收敛性。
英文摘要：
A higher order Godunov method for the radiation subsystem of radiation hydrodynamics is presented. A key ingredient of the method is the direct coupling of stiff source term effects to the hyperbolic structure of the system of conservation laws; it is composed of a predictor step that is based on Duhamel's principle and a corrector step that is based on Picard iteration. The method is second order accurate in both time and space, unsplit, asymptotically preserving, and uniformly well behaved from the photon free streaming (hyperbolic) limit through the weak equilibrium diffusion (parabolic) limit and to the strong equilibrium diffusion (hyperbolic) limit. Numerical tests demonstrate second order convergence across various parameter regimes.
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