Analysis of the numerical diffusion in anisotropic mediums: benchmarks for magnetic field aligned meshes in space propulsion simulations

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dc.contributor.author Pérez Grande, Daniel
dc.contributor.author Ahedo Galilea, Eduardo Antonio
dc.contributor.author Fajardo Peña, Pablo
dc.date.accessioned 2019-01-15T10:37:33Z
dc.date.available 2019-01-15T10:37:33Z
dc.date.issued 2016-11-15
dc.identifier.bibliographicCitation Applied Sciences, 6 (11), 354.
dc.identifier.issn 2076-3417
dc.identifier.uri http://hdl.handle.net/10016/27899
dc.description.abstract This manuscript explores numerical errors in highly anisotropic diffusion problems. First, the paper addresses the use of regular structured meshes in numerical solutions versus meshes aligned with the preferential directions of the problem. Numerical diffusion in structured meshes is quantified by solving the classical anisotropic diffusion problem; the analysis is exemplified with the application to a numerical model of conducting fluids under magnetic confinement, where rates of transport in directions parallel and perpendicular to a magnetic field are quite different. Numerical diffusion errors in this problem promote the use of magnetic field aligned meshes (MFAM). The generation of this type of meshes presents some challenges; several meshing strategies are implemented and analyzed in order to provide insight into achieving acceptable mesh regularity. Second, Gradient Reconstruction methods for magnetically aligned meshes are addressed and numerical errors are compared for the structured and magnetically aligned meshes. It is concluded that using the latter provides a more correct and straightforward approach to solving problems where anisotropicity is present, especially, if the anisotropicity level is high or difficult to quantify. The conclusions of the study may be extrapolated to the study of anisotropic flows different from conducting fluids.
dc.description.sponsorship This work has been supported by Spain’s R&D National Plan, grant number ESP2013-41052-P.
dc.format.extent 20
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher MDPI
dc.rights © 2016 by the authors; licensee MDPI, Basel, Switzerland.
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Flow anisotropy
dc.subject.other Numerical diffusion
dc.subject.other Meshing
dc.subject.other Gradient reconstruction
dc.subject.other Magnetic field aligned mesh
dc.title Analysis of the numerical diffusion in anisotropic mediums: benchmarks for magnetic field aligned meshes in space propulsion simulations
dc.type article
dc.description.status Publicado
dc.subject.eciencia Aeronáutica
dc.identifier.doi https://doi.org/10.3390/app6110354
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. ESP2013-41052-P
dc.type.version publishedVersion
dc.identifier.publicationissue 11
dc.identifier.publicationtitle Applied Sciences-Basel
dc.identifier.publicationvolume 6
dc.identifier.uxxi AR/0000019629
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