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dc.contributor.authorTheisel, Holger
dc.contributor.authorHadwiger, Markus
dc.contributor.authorRautek, Peter
dc.contributor.authorTheußl, Thomas
dc.contributor.authorGünther, Tobias
dc.date.accessioned2021-07-14T06:53:41Z
dc.date.available2021-07-14T06:53:41Z
dc.date.issued2021-06-30
dc.identifier.urihttp://hdl.handle.net/10754/670203
dc.description.abstractReference frame optimization is a generic framework to calculate a spatially-varying observer field that views an unsteady fluid flow in a reference frame that is as-steady-as-possible. In this paper, we show that the optimized vector field is objective, i.e., it is independent of the initial Euclidean transformation of the observer. To check objectivity, the optimized velocity vectors and the coordinates in which they are defined must both be connected by an Euclidean transformation. In this paper we show that a recent publication [1] applied this definition incorrectly, falsely concluding that reference frame optimizations are not objective. Further, we prove the objectivity of the variational formulation of the reference frame optimization proposed in [1], and discuss how the variational formulation relates to recent local and global optimization approaches to unsteadiness minimization.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/2106.16169.pdf
dc.rightsArchived with thanks to arXiv
dc.titleVortex Criteria can be Objectivized by Unsteadiness Minimization
dc.typePreprint
dc.contributor.departmentComputer Science Program
dc.contributor.departmentVisual Computing Center (VCC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentVisual Computing Center King Abdullah University of Science and Technology Thuwal, 23955-6900, Saudi Arabia
dc.eprint.versionPre-print
dc.contributor.institutionDepartment of Computer Science Otto-von-Guericke University of Magdeburg
dc.contributor.institutionDepartment of Computer Science Friedrich-Alexander-University of Erlangen-Nuremberg Erlangen, Germany
dc.identifier.arxivid2106.16169
kaust.personHadwiger, Markus
kaust.personRautek, Peter
kaust.personTheußl, Thomas
refterms.dateFOA2021-07-14T06:54:09Z


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