Kikker, Anne ; Kummer, Florian ; Oberlack, Martin (2024)
A fully coupled high‐order discontinuous Galerkin solver for viscoelastic fluid flow.
In: International Journal for Numerical Methods in Fluids, 2021, 93 (6)
doi: 10.26083/tuprints-00017814
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
A fully coupled high order discontinuous Galerkin (DG) solver for viscoelastic Oldroyd B fluid flow problems is presented. Contrary to known methods combining DG for the discretization of the convective terms of the material model with standard finite element methods (FEM) and using elastic viscous stress splitting (EVSS) and its derivatives, a local discontinuous Galerkin (LDG) formulation first described for hyperbolic convection‐diffusion problems is used. The overall scheme is described, including temporal and spatial discretization as well as solution strategies for the nonlinear system, based on incremental increase of the Weissenberg number. The solvers suitability is demonstrated for the two‐dimensional confined cylinder benchmark problem. The cylinder is immersed in a narrow channel with a blocking ratio of 1:2 and the drag force of is compared to results from the literature. Furthermore, steady and unsteady calculations give a brief insight into the characteristics of instabilities due to boundary layer phenomena caused by viscoelasticity arising in the narrowing between channel and cylinder.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Kikker, Anne ; Kummer, Florian ; Oberlack, Martin |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | A fully coupled high‐order discontinuous Galerkin solver for viscoelastic fluid flow |
| Sprache: | Englisch |
| Publikationsjahr: | 5 Januar 2024 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | 2021 |
| Ort der Erstveröffentlichung: | Chichester |
| Verlag: | John Wiley & Sons |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal for Numerical Methods in Fluids |
| Jahrgang/Volume einer Zeitschrift: | 93 |
| (Heft-)Nummer: | 6 |
| DOI: | 10.26083/tuprints-00017814 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/17814 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | A fully coupled high order discontinuous Galerkin (DG) solver for viscoelastic Oldroyd B fluid flow problems is presented. Contrary to known methods combining DG for the discretization of the convective terms of the material model with standard finite element methods (FEM) and using elastic viscous stress splitting (EVSS) and its derivatives, a local discontinuous Galerkin (LDG) formulation first described for hyperbolic convection‐diffusion problems is used. The overall scheme is described, including temporal and spatial discretization as well as solution strategies for the nonlinear system, based on incremental increase of the Weissenberg number. The solvers suitability is demonstrated for the two‐dimensional confined cylinder benchmark problem. The cylinder is immersed in a narrow channel with a blocking ratio of 1:2 and the drag force of is compared to results from the literature. Furthermore, steady and unsteady calculations give a brief insight into the characteristics of instabilities due to boundary layer phenomena caused by viscoelasticity arising in the narrowing between channel and cylinder. |
| Freie Schlagworte: | artificial viscosity, confined cylinder, discontinuous Galerkin, local discontinuous Galerkin, Oldroyd B, viscoelastic flow |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-178145 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) Exzellenzinitiative Exzellenzinitiative > Graduiertenschulen Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE) |
| Hinterlegungsdatum: | 05 Jan 2024 13:47 |
| Letzte Änderung: | 08 Jan 2024 07:43 |
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| Zugehörige Links: | |
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| Suche nach Titel in: | TUfind oder in Google |
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- A fully coupled high‐order discontinuous Galerkin solver for viscoelastic fluid flow. (deposited 05 Jan 2024 13:47) [Gegenwärtig angezeigt]
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