Rapid interpolation calculation method based on physical rules with MCNP simulation results
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摘要: 在核辐射科学研究中经常使用MCNP蒙卡计算程序,但其计算结果只是给定位置的物理量。为了快速获得计算点附近的感兴趣位置处的值,本研究建立了一种3点插值计算方法。首先分析了粒子在材料中输运的物理规律,给出了满足3点插值的空间范围,建立了插值计算模型。然后利用距离平方反比权重法,结合粒子衰减规律,推导了插值计算公式。最后设计了计算机程序,并用X射线屏蔽后注量的MCNP计算结果进行验证。通过和直接采用的距离平方反比权重法和克里金插值法对比,考虑物理作用机制的该计算方法精度更高,且误差在10%以内。Abstract: MCNP calculations are frequently used to analyze a variety of radiological science applications. This study tries to develop a rapid calculation method evaluating the value nearby where values of 3 points have been calculated with MCNP code. Firstly the physical rules of particle transportation is analyzed. Inverse distance weighting way and the physical law are considered. Meanwhile the range in three-dimensional space that could be calculated using the method is discussed and given. Then a formula for fast calculation of interpolating position with known values calculated with MCNP code is deduced. And the calculating code is composed in order to verify the method. In the end values calculated with the interpolation method and with MCNP code are directly compared. It is proved that the rapid calculation method is very reliable, and the error of this method is below 10%.
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Key words:
- interpolation calculation /
- physical mechanism /
- Monte Carlo method /
- X-ray
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