UBER v1.0: a universal kinetic equation solver for radiation belts

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dc.citation.firstpage5825en_US
dc.citation.journalTitleGeoscientific Model Developmenten_US
dc.citation.lastpage5842en_US
dc.citation.volumeNumber14en_US
dc.contributor.authorZheng, Lihengen_US
dc.contributor.authorChen, Lunjinen_US
dc.contributor.authorChan, Anthony A.en_US
dc.contributor.authorWang, Pengen_US
dc.contributor.authorXia, Zhiyangen_US
dc.contributor.authorLiu, Xuen_US
dc.date.accessioned2021-10-21T17:53:24Zen_US
dc.date.available2021-10-21T17:53:24Zen_US
dc.date.issued2021en_US
dc.description.abstractRecent proceedings in radiation belt studies have proposed new requirements for numerical methods to solve the kinetic equations involved. In this article, we present a numerical solver that can solve the general form of the radiation belt Fokker–Planck equation and Boltzmann equation in arbitrarily provided coordinate systems and with user-specified boundary geometry, boundary conditions, and equation terms. The solver is based upon the mathematical theory of stochastic differential equations, whose computational accuracy and efficiency are greatly enhanced by specially designed adaptive algorithms and a variance reduction technique. The versatility and robustness of the solver are exhibited in four example problems. The solver applies to a wide spectrum of radiation belt modeling problems, including the ones featuring non-diffusive particle transport such as that arising from nonlinear wave–particle interactions.en_US
dc.identifier.citationZheng, Liheng, Chen, Lunjin, Chan, Anthony A., et al.. "UBER v1.0: a universal kinetic equation solver for radiation belts." <i>Geoscientific Model Development,</i> 14, (2021) European Geosciences Union: 5825-5842. https://doi.org/10.5194/gmd-14-5825-2021.en_US
dc.identifier.digitalgmd-14-5825-2021en_US
dc.identifier.doihttps://doi.org/10.5194/gmd-14-5825-2021en_US
dc.identifier.urihttps://hdl.handle.net/1911/111590en_US
dc.language.isoengen_US
dc.publisherEuropean Geosciences Unionen_US
dc.rightsThis work is distributed under the Creative Commons Attribution 4.0 License.en_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en_US
dc.titleUBER v1.0: a universal kinetic equation solver for radiation beltsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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