An efficient and positivity-preserving layer method for modeling radiation belt diffusion processes

dc.citation.firstpage305en_US
dc.citation.issueNumber1en_US
dc.citation.journalTitleJournal of Geophysical Research: Space Physicsen_US
dc.citation.lastpage320en_US
dc.citation.volumeNumber121en_US
dc.contributor.authorTao, X.en_US
dc.contributor.authorZhang, L.en_US
dc.contributor.authorWang, C.en_US
dc.contributor.authorLi, X.en_US
dc.contributor.authorAlbert, J.M.en_US
dc.contributor.authorChan, A.A.en_US
dc.date.accessioned2017-05-15T21:11:38Zen_US
dc.date.available2017-05-15T21:11:38Zen_US
dc.date.issued2016en_US
dc.description.abstractAn efficient and positivity-preserving layer method is introduced to solve the radiation belt diffusion equation and is applied to study the bounce resonance interaction between relativistic electrons and magnetosonic waves. The layer method with linear interpolation, denoted by LM-L (layer method-linear), requires the use of a large number of grid points to ensure accurate solutions. We introduce a monotonicity- and positivity-preserving cubic interpolation method to be used with the Milstein-Tretyakov layer method. The resulting method, called LM-MC (layer method-monotone cubic), can be used to solve the radiation belt diffusion equation with a much smaller number of grid points than LM-L while still being able to preserve the positivity of the solution. We suggest that LM-MC can be used to study long-term dynamics of radiation belts. We then develop a 2-D LM-MC code and use it to investigate the bounce resonance diffusion of radiation belt electrons by magnetosonic waves. Using a previously published magnetosonic wave model, we demonstrate that bounce resonance with magnetosonic waves is as important as gyroresonance; both can cause several orders of magnitude increase of MeV electron fluxes within 1ᅠday. We conclude that bounce resonance with magnetosonic waves should be taken into consideration together with gyroresonance.en_US
dc.identifier.citationTao, X., Zhang, L., Wang, C., et al.. "An efficient and positivity-preserving layer method for modeling radiation belt diffusion processes." <i>Journal of Geophysical Research: Space Physics,</i> 121, no. 1 (2016) Wiley: 305-320. https://doi.org/10.1002/2015JA022064.en_US
dc.identifier.doihttps://doi.org/10.1002/2015JA022064en_US
dc.identifier.urihttps://hdl.handle.net/1911/94273en_US
dc.language.isoengen_US
dc.publisherWileyen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.titleAn efficient and positivity-preserving layer method for modeling radiation belt diffusion processesen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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