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dc.contributor.authorWiesenberger, Matthias
dc.contributor.authorHeld, Markus
dc.date.accessioned2023-12-13T08:14:59Z
dc.date.available2023-12-13T08:14:59Z
dc.date.issued2023-07-03
dc.description.abstractWe present a novel family of schemes as the merging between a one-dimensional advection scheme with the flux coordinate independent approach. The scheme can be used to discretize the field-aligned NavierStokes equations in three dimensions. Our approach consists of three major steps: (i) the formulation of the one-dimensional scheme in a locally field-aligned coordinate system, (ii) a numerical evaluation of the surface integrals over the field-aligned finite volumes and (iii) the introduction of smoothing into the numerical transformation operators to ensure stability of the resulting scheme. We study this approach at the example of a staggered finite volume scheme with a field-aligned cylinder as initial condition. We show superior stability and conservative properties over previous direct discretizations. In particular, the relative mass conservation is improved by several orders of magnitude. Without smoothing in the transformation operators the scheme is prone to oscillations in both parallel and perpendicular directions. In the presence of strong perpendicular gradients, additional parallel diffusion is needed to control spurious oscillations in the perpendicular planes. We provide parallel implementations for various platforms including GPUs freely in the C++ library Feltoren_US
dc.identifier.citationWiesenberger, Held. A finite volume flux coordinate independent approach. Computer Physics Communications. 2023;291en_US
dc.identifier.cristinIDFRIDAID 2178551
dc.identifier.doi10.1016/j.cpc.2023.108838
dc.identifier.issn0010-4655
dc.identifier.issn1879-2944
dc.identifier.urihttps://hdl.handle.net/10037/32047
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.journalComputer Physics Communications
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2023 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleA finite volume flux coordinate independent approachen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)