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

dc.citation.firstpage305
dc.citation.issueNumber1
dc.citation.journalTitleJournal of Geophysical Research: Space Physics
dc.citation.lastpage320
dc.citation.volumeNumber121
dc.contributor.authorTao, X.
dc.contributor.authorZhang, L.
dc.contributor.authorWang, C.
dc.contributor.authorLi, X.
dc.contributor.authorAlbert, J.M.
dc.contributor.authorChan, A.A.
dc.date.accessioned2017-05-15T21:11:38Z
dc.date.available2017-05-15T21:11:38Z
dc.date.issued2016
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.
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.
dc.identifier.doihttps://doi.org/10.1002/2015JA022064
dc.identifier.urihttps://hdl.handle.net/1911/94273
dc.language.isoeng
dc.publisherWiley
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.
dc.titleAn efficient and positivity-preserving layer method for modeling radiation belt diffusion processes
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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