辐射转移方程的非线性矩模型
A Nonlinear Moment Model for Radiative Transfer Equation
摘要：
利用平板几何中辐射转移方程的非线性矩模型的推导方法，推导了三维空间中辐射转移方程的非线性矩模型。由此产生的3D HMPN模型具有一系列数学优势，包括全局双曲性，旋转不变性，物理波速，光谱精度和正确的高阶爱丁顿近似。仿真实例验证了新模型的有效性。
英文摘要：
We derive a nonlinear moment model for radiative transfer equation in 3D space, using the method to derive the nonlinear moment model for the radiative transfer equation in slab geometry. The resulted 3D HMPN model enjoys a list of mathematical advantages, including global hyperbolicity, rotational invariance, physical wave speeds, spectral accuracy, and correct higher-order Eddington approximation. Simulation examples are presented to validate the new model numerically.
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