TU Darmstadt / ULB / TUbiblio

The extended discontinuous Galerkin method adapted for moving contact line problems via the generalized Navier boundary condition

Smuda, Martin ; Kummer, Florian (2021)
The extended discontinuous Galerkin method adapted for moving contact line problems via the generalized Navier boundary condition.
In: International Journal for Numerical Methods in Fluids, 93 (9)
doi: 10.1002/fld.5016
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

In this work, an extended discontinuous Galerkin (extended DG/XDG also called unfitted DG) solver for two-dimensional flow problems exhibiting moving contact lines is presented. The generalized Navier boundary condition is employed within the XDG discretization for the handling of the moving contact lines. The spatial discretization is based on a symmetric interior penalty method and the numerical treatment of the surface tension force is done via the Laplace–Beltrami formulation. The XDG method adapts the approximation space conformal to the position of the interface and allows a sub-cell accurate representation within the sharp interface formulation. The interface is described as the zero set of a signed-distance level-set function and discretized by a standard DG method. No adaption of the level-set evolution algorithm is needed for the extension to moving contact line problems. The developed solver is validated against typical two-dimensional contact line driven flow phenomena including droplet simulations on a wall and the two-phase Couette flow.

Typ des Eintrags: Artikel
Erschienen: 2021
Autor(en): Smuda, Martin ; Kummer, Florian
Art des Eintrags: Bibliographie
Titel: The extended discontinuous Galerkin method adapted for moving contact line problems via the generalized Navier boundary condition
Sprache: Englisch
Publikationsjahr: 2021
Titel der Zeitschrift, Zeitung oder Schriftenreihe: International Journal for Numerical Methods in Fluids
Jahrgang/Volume einer Zeitschrift: 93
(Heft-)Nummer: 9
DOI: 10.1002/fld.5016
Kurzbeschreibung (Abstract):

In this work, an extended discontinuous Galerkin (extended DG/XDG also called unfitted DG) solver for two-dimensional flow problems exhibiting moving contact lines is presented. The generalized Navier boundary condition is employed within the XDG discretization for the handling of the moving contact lines. The spatial discretization is based on a symmetric interior penalty method and the numerical treatment of the surface tension force is done via the Laplace–Beltrami formulation. The XDG method adapts the approximation space conformal to the position of the interface and allows a sub-cell accurate representation within the sharp interface formulation. The interface is described as the zero set of a signed-distance level-set function and discretized by a standard DG method. No adaption of the level-set evolution algorithm is needed for the extension to moving contact line problems. The developed solver is validated against typical two-dimensional contact line driven flow phenomena including droplet simulations on a wall and the two-phase Couette flow.

Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy)
DFG-Sonderforschungsbereiche (inkl. Transregio)
DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche
DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 1194: Wechselseitige Beeinflussung von Transport- und Benetzungsvorgängen
DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 1194: Wechselseitige Beeinflussung von Transport- und Benetzungsvorgängen > Projektbereich B: Modellierung und Simulation
DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 1194: Wechselseitige Beeinflussung von Transport- und Benetzungsvorgängen > Projektbereich B: Modellierung und Simulation > B06: Verfahren höherer Ordnung für die direkte numerische Simulation von Be- und Entnetzungsproblemen auf Basis der Discontinuous Galerkin Methode
Exzellenzinitiative
Exzellenzinitiative > Graduiertenschulen
Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE)
Hinterlegungsdatum: 04 Dez 2023 08:14
Letzte Änderung: 04 Dez 2023 08:14
PPN: 513630007
Export:
Suche nach Titel in: TUfind oder in Google
Frage zum Eintrag Frage zum Eintrag

Optionen (nur für Redakteure)
Redaktionelle Details anzeigen Redaktionelle Details anzeigen