网格上连续传输问题的空间矩计算:时变问题

J. Densmore
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引用次数: 3

摘要

我们提出了我们最近对矩方法的研究的扩展,当矩在空间网格上计算而不是通过整个域的积分来包括时间依赖性时。对于我们所考虑的问题,我们证明(i) x的通量加权平均值仍然等于其初始值,但(ii)当以这种方式确定矩时(x - xa)2的通量加权平均值与其初始值相差一个额外的误差项,其中x是空间变量,xa是任意点。我们还给出了数值例子来证实我们的结果的准确性。
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Spatial Moments of Continuous Transport Problems Computed on Grids: Time-Dependent Problems
We present an extension of our recent examination of the method of moments when moments are computed on a spatial grid instead of through integration over the entire domain to include time dependence. For the problem we consider, we show that (i) the flux-weighted average of x remains equal to its initial value but (ii) the flux-weighted average of (x − xa )2 differs from its initial value by an additional error term when moments are determined in this manner, where x is the spatial variable and xa is an arbitrary point. We also present numerical examples that confirm the accuracy of our results.
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Transport Theory and Statistical Physics
Transport Theory and Statistical Physics 物理-物理:数学物理
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