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A truly Newtonian softening length for disc simulations

hal.structure.identifierECLIPSE 2015
hal.structure.identifierLaboratoire d'Astrophysique de Bordeaux [Pessac] [LAB]
hal.structure.identifierObservatoire aquitain des sciences de l'univers [OASU]
dc.contributor.authorHURÉ, J.-M.
hal.structure.identifierLaboratoire d'Astrophysique de Bordeaux [Pessac] [LAB]
hal.structure.identifierObservatoire aquitain des sciences de l'univers [OASU]
hal.structure.identifierECLIPSE 2015
dc.contributor.authorTROVA, Audrey
dc.date.issued2015
dc.identifier.issn0035-8711
dc.description.abstractEnThe softened point mass model is commonly used in simulations of gaseous discs including self-gravity while the value of associated length \lambda remains, to some degree, controversial. This ``parameter'' is however fully constrained when, in a discretized disc, all fluid cells are demanded to obey Newton's law. We examine the topology of solutions in this context, focusing on cylindrical cells more or less vertically elongated. We find that not only the nominal length depends critically on the cell's shape (curvature, radial extension, height), but it is either a real or an imaginary number. Setting \lambda as a fraction of the local disc thickness -- as usually done -- is indeed not the optimal choice. We then propose a novel prescription valid irrespective of the disc properties and grid spacings. The benefit, which amounts to 2-3 more digits typically, is illustrated in a few concrete cases. A detailed mathematical analysis is in progress.
dc.language.isoen
dc.publisherOxford University Press (OUP): Policy P - Oxford Open Option A
dc.subject.enAstrophysics
dc.subject.enInstrumentation and Methods for Astrophysics
dc.title.enA truly Newtonian softening length for disc simulations
dc.typeArticle de revue
dc.identifier.doi10.1093/mnras/stu2511
dc.subject.halPhysique [physics]/Astrophysique [astro-ph]
dc.identifier.arxiv1411.7272
bordeaux.journalMonthly Notices of the Royal Astronomical Society
bordeaux.page1866-1872
bordeaux.volume447
bordeaux.issue2
bordeaux.peerReviewedoui
hal.identifierhal-01090827
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01090827v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Monthly%20Notices%20of%20the%20Royal%20Astronomical%20Society&rft.date=2015&rft.volume=447&rft.issue=2&rft.spage=1866-1872&rft.epage=1866-1872&rft.eissn=0035-8711&rft.issn=0035-8711&rft.au=HUR%C3%89,%20J.-M.&TROVA,%20Audrey&rft.genre=article


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