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Numerical modeling of multidimensional diffusion in the radiation belts using layer methods

机译:辐射带中多维扩散的分层法数值模拟

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摘要

A new code using layer methods is presented to solve radiation belt diffusion equations and is used to explore effects of cross diffusion on electron fluxes. Previous results indicate that numerical problems arise when solving diffusion equations with cross diffusion when using simple finite difference methods. We show that layer methods, which are based on stochastic differential equations, are capable of solving diffusion equations with cross diffusion and are also generalizable to three dimensions. We run our layer code using two chorus wave models and a combined magnetosonic wave and hiss wave model (MH wave model). Both chorus and magnetosonic waves are capable of accelerating electrons to MeV levels in about a day. However, for the chorus wave models, omitting cross diffusion overestimates fluxes at high energies and small pitch angles, while for the MH wave model, ignoring cross diffusion overestimates fluxes at high energies and large pitch angles. These results show that cross diffusion is not ignorable and should be included when calculating radiation belt electron fluxes.
机译:提出了一种使用分层方法的新代码来求解辐射带扩散方程,并用于研究交叉扩散对电子通量的影响。先前的结果表明,当使用简单的有限差分方法求解带交叉扩散的扩散方程时,会出现数值问题。我们表明,基于随机微分方程的分层方法能够求解具有交叉扩散的扩散方程,并且可以推广到三个维度。我们使用两个合唱波模型以及磁声波和嘶嘶声波模型(MH波模型)运行层代码。合唱和磁声波都能在大约一天的时间内将电子加速到MeV水平。但是,对于合唱波模型,忽略交叉扩散会高估高能量和小俯仰角处的通量,而对于MH波模型,忽略交叉扩散会忽略高扩散和大能量角处的通量。这些结果表明,交叉扩散是不可忽略的,在计算辐射带电子通量时应包括在内。

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