论文标题

辐射转移方程的非线性力矩模型

A Nonlinear Moment Model for Radiative Transfer Equation

论文作者

Li, Ruo, Song, Peng, Zheng, Lingchao

论文摘要

我们使用该方法得出了一个非线性传递方程的非线性矩模型,该方法使用该方法来得出平板几何形状中辐射传递方程的非线性矩模型。所得的3D HMPN模型享有数学优势的列表,包括全局双曲线,旋转不变性,物理波速,光谱准确性和正确的高阶爱丁顿近似。提供了仿真示例以数值验证新模型。

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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