Lehrenfeld, Christoph

[["dc.bibliographiccitation.firstpage","533"],["dc.bibliographiccitation.issue","11"],["dc.bibliographiccitation.journal","International Journal for Numerical Methods in Fluids"],["dc.bibliographiccitation.lastpage","556"],["dc.bibliographiccitation.volume","91"],["dc.contributor.author","Fehn, Niklas"],["dc.contributor.author","Kronbichler, Martin"],["dc.contributor.author","Lehrenfeld, Christoph"],["dc.contributor.author","Lube, Gert"],["dc.contributor.author","Schröder, Philipp W."],["dc.date.accessioned","2020-03-02T16:00:09Z"],["dc.date.available","2020-03-02T16:00:09Z"],["dc.date.issued","2019"],["dc.description.abstract","The accurate numerical simulation of turbulent incompressible flows is a challenging topic in computational fluid dynamics. For discretisation methods to be robust in the under-resolved regime, mass conservation as well as energy stability are key ingredients to obtain robust and accurate discretisations. Recently, two approaches have been proposed in the context of high-order discontinuous Galerkin (DG) discretisations that address these aspects differently. On the one hand, standard ^2ehBbased DG discretisations enforce mass conservation and energy stability weakly by the use of additional stabilisation terms. On the other hand, pointwise divergence-free (\\operatorname{div})ehBconforming approaches ensure exact mass conservation and energy stability by the use of tailored finite element function spaces. The present work raises the question whether and to which extent these two approaches are equivalent when applied to under-resolved turbulent flows. This comparative study highlights similarities and differences of these two approaches. The numerical results emphasise that both discretisation strategies are promising for under-resolved simulations of turbulent flows due to their inherent dissipation mechanisms."],["dc.identifier.arxiv","1905.00142v1"],["dc.identifier.doi","10.1002/fld.4763"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/63042"],["dc.language.iso","en"],["dc.notes.intern","DeepGreen Import"],["dc.relation.issn","0271-2091"],["dc.relation.issn","1097-0363"],["dc.relation.orgunit","Institut für Numerische und Angewandte Mathematik"],["dc.relation.workinggroup","RG Lehrenfeld (Computational PDEs)"],["dc.title","High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of $L^2$ and $H(div)$ methods"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","2503"],["dc.bibliographiccitation.issue","11"],["dc.bibliographiccitation.journal","International Journal for Numerical Methods in Engineering"],["dc.bibliographiccitation.lastpage","2533"],["dc.bibliographiccitation.volume","121"],["dc.contributor.author","Lederer, Philip L."],["dc.contributor.author","Lehrenfeld, Christoph"],["dc.contributor.author","Schöberl, Joachim"],["dc.date.accessioned","2020-03-02T14:38:53Z"],["dc.date.available","2020-03-02T14:38:53Z"],["dc.date.issued","2020-02-18"],["dc.description.abstract","In this work we consider the numerical solution of incompressible flows on two-dimensional manifolds. Whereas the compatibility demands of the velocity and the pressure spaces are known from the flat case one further has to deal with the approximation of a velocity field that lies only in the tangential space of the given geometry. Abandoning $H^1$-conformity allows us to construct finite elements which are -- due to an application of the Piola transformation -- exactly tangential. To reintroduce continuity (in a weak sense) we make use of (hybrid) discontinuous Galerkin techniques. To further improve this approach, $H(\\operatorname{div}_{\\Gamma})$-conforming finite elements can be used to obtain exactly divergence-free velocity solutions. We present several new finite element discretizations. On a number of numerical examples we examine and compare their qualitative properties and accuracy."],["dc.description.sponsorship","Austrian Science Fund http://dx.doi.org/10.13039/501100002428"],["dc.identifier.arxiv","1909.06229v2"],["dc.identifier.doi","10.1002/nme.6317"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/63041"],["dc.language.iso","en"],["dc.notes.intern","DeepGreen Import"],["dc.relation.orgunit","Institut für Numerische und Angewandte Mathematik"],["dc.relation.workinggroup","RG Lehrenfeld (Computational PDEs)"],["dc.title","Divergence-free tangential finite element methods for incompressible flows on surfaces"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.contributor.author","Lehrenfeld, Christoph"],["dc.contributor.author","Hohage, Thorsten"],["dc.contributor.author","Uecker, Martin"],["dc.contributor.author","Henne, Timo"],["dc.contributor.author","Holme, H. Christian M."],["dc.contributor.author","Rügge, Christoph"],["dc.contributor.editorcorporation","General Assembly Of The CRC 1456"],["dc.date.accessioned","2022-11-07T10:58:12Z"],["dc.date.available","2022-11-07T10:58:12Z"],["dc.date.issued","2022"],["dc.description.abstract","Document with policies for data on CRC 1456."],["dc.identifier.doi","10.25625/42GS0I"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/116969"],["dc.language.iso","en"],["dc.publisher","GRO.data"],["dc.publisher.place","Göttingen"],["dc.relation","SFB 1456: Mathematik des Experiments: Die Herausforderung indirekter Messungen in den Naturwissenschaften"],["dc.relation","SFB 1456 | Cluster Z | INF: Infrastructure for exchange of research data and software"],["dc.relation.workinggroup","RG Lehrenfeld (Computational PDEs)"],["dc.rights","CC BY 4.0"],["dc.title","Data policy for CRC 1456"],["dc.type","other"],["dc.type.internalPublication","yes"],["dc.type.version","unpublished"],["dspace.entity.type","Publication"]]