Application of M1approach to numerical simulation of radiative transfer in strong explosion fireball
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摘要: 推导了P1近似、Minerbo近似和M1近似模型中Eddington因子和辐射输运方程的最大特征值随各向异性因子的变化关系。采用M1近似模型对1kt TNT当量的强爆炸火球的辐射输运过程进行了数值模拟，给出了火球阵面和冲击波阵面走时，并与已有计算结果进行了比较。结果表明：辐射扩张阶段M1近似下得到的辐射波波速快于P1近似下的计算结果，落后于Minerbo近似下的计算结果，而在冲击波扩张阶段三者计算结果又趋于一致。
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关键词:
- 爆炸力学 /
- M1近似模型 /
- 辐射输运 /
- 强爆炸火球 /
- Eddington因子
Abstract: According to the equations for the P1, Minerbo and M1approach models, the variations of their Eddington factors with the anisotropy factors were derived as well as the maximum eigenvalues of the moment equations of the radiative transfer against the anisotropy factors, respectively.And the M1approach model was used to numerically simulate the firball radiatve transfer from a 1 -kt TNT equivalent explosion.The fireball and shock wave fronts were given and compared with those by the different approach models.Numerical experiments show that the radiation wave velocity by the M1 approach is faster than that by the P1approach, but slower than that by the Minerbo approach.In the stage of the shock wave expansion, the radiation wave velocities by these three approaches are consistent with each other. -
图 1 不同近似下Eddington因子随各向异性因子的变化
Figure 1. Eddington factor varied with anisotropy factor for different approach models
图 2 不同近似下辐射输运矩方程的最大特征值随各向异性因子变化
Figure 2. The largest eigenvalues of moment equations of radiative transfer varied with anisotropy factor for different approach models
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