1. ZHAW digitalcollection
  2. School of Engineering
  3. Publikationen
  4. Publikationen School of Engineering
Full metadata record
DC FieldValueLanguage
dc.contributor.authorWilhelm, Dirk-
dc.contributor.authorKleiser, Leonhard-
dc.date.accessioned2018-12-11T15:47:25Z-
dc.date.available2018-12-11T15:47:25Z-
dc.date.issued2000-05-
dc.identifier.issn0168-9274de_CH
dc.identifier.issn1873-5460de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/13746-
dc.description.abstractWe show that for the PN–PN−2 spectral element method (SEM), in which the velocity and pressure are approximated by polynomials of order N and N−2, respectively, numerical instabilities may occur in Navier–Stokes simulations. These instabilities depend on the formulation of the convection operator. The numerical scheme is stable for the convective form and one version of the rotational form but unstable for the divergence form and the skew-symmetric form. Further numerical analysis indicates that this instability is not caused by nonlinear effects but occurs also for the linearized momentum equations. We demonstrate that the instability is a consequence of the staggered grid between velocity and pressure, as often used in SEM.de_CH
dc.language.isoende_CH
dc.publisherElsevierde_CH
dc.relation.ispartofApplied Numerical Mathematicsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectSpectral element methodde_CH
dc.subjectNavier–Stokes simulationde_CH
dc.subjectNumerical instabilityde_CH
dc.subjectIncompressible flowde_CH
dc.subjectFormulation of convection operatorde_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleStable and unstable formulations of the convection operator in spectral element simulationsde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
dc.identifier.doi10.1016/S0168-9274(99)00093-8de_CH
zhaw.funding.euNode_CH
zhaw.issue1-4de_CH
zhaw.originated.zhawNode_CH
zhaw.pages.end280de_CH
zhaw.pages.start275de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume33de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
Appears in collections:Publikationen School of Engineering

Files in This Item:
There are no files associated with this item.
Show simple item record
Wilhelm, D., & Kleiser, L. (2000). Stable and unstable formulations of the convection operator in spectral element simulations. Applied Numerical Mathematics, 33(1-4), 275–280. https://doi.org/10.1016/S0168-9274(99)00093-8
Wilhelm, D. and Kleiser, L. (2000) ‘Stable and unstable formulations of the convection operator in spectral element simulations’, Applied Numerical Mathematics, 33(1-4), pp. 275–280. Available at: https://doi.org/10.1016/S0168-9274(99)00093-8.
D. Wilhelm and L. Kleiser, “Stable and unstable formulations of the convection operator in spectral element simulations,” Applied Numerical Mathematics, vol. 33, no. 1-4, pp. 275–280, May 2000, doi: 10.1016/S0168-9274(99)00093-8.
WILHELM, Dirk und Leonhard KLEISER, 2000. Stable and unstable formulations of the convection operator in spectral element simulations. Applied Numerical Mathematics. Mai 2000. Bd. 33, Nr. 1-4, S. 275–280. DOI 10.1016/S0168-9274(99)00093-8
Wilhelm, Dirk, and Leonhard Kleiser. 2000. “Stable and Unstable Formulations of the Convection Operator in Spectral Element Simulations.” Applied Numerical Mathematics 33 (1-4): 275–80. https://doi.org/10.1016/S0168-9274(99)00093-8.
Wilhelm, Dirk, and Leonhard Kleiser. “Stable and Unstable Formulations of the Convection Operator in Spectral Element Simulations.” Applied Numerical Mathematics, vol. 33, no. 1-4, May 2000, pp. 275–80, https://doi.org/10.1016/S0168-9274(99)00093-8.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.