Comparison of continuous and discontinuous Galerkin approaches for variable-viscosity Stokes flow

Publikationstyp:
Zeitschriftenaufsatz
Metadaten:
Autoren
  • Ragnar S Lehmann
  • Maria Lukacova-Medvid'ova
  • Boris JP Kaus
  • Anton A Popov
Autoren-URL
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000377275800006&DestLinkType=FullRecord&DestApp=WOS_CPL
DOI
10.1002/zamm.201400274
eISSN
1521-4001
Externe Identifier
  • Clarivate Analytics Document Solution ID: DN7RU
ISSN
0044-2267
Ausgabe der Veröffentlichung
6
Zeitschrift
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
Schlüsselwörter
  • Variable-viscosity Stokes flow
  • Ciscontinuous Galerkin
  • Finite Element Method
  • Computational Fluid Dynamics
  • mixed methods
  • Computational Geodynamics
  • incompressible fluid flow
  • divergence-conforming elements
Paginierung
733 - 746
Datum der Veröffentlichung
2016
Status
Published
Titel
Comparison of continuous and discontinuous Galerkin approaches for variable-viscosity Stokes flow
Sub types
  • Article
Ausgabe der Zeitschrift
96

Datenquelle: Web of Science (Lite)

Andere Metadatenquellen:
Abstract
<jats:p>We describe a Discontinuous Galerkin (DG) scheme for variable‐viscosity Stokes flow which is a crucial aspect of many geophysical modelling applications and conduct numerical experiments with different elements comparing the DG approach to the standard Finite Element Method (FEM). We compare the divergence‐conforming lowest‐order Raviart‐Thomas (RT<jats:sub>0</jats:sub>P<jats:sub>0</jats:sub>) and Brezzi‐Douglas‐Marini (BDM<jats:sub>1</jats:sub>P<jats:sub>0</jats:sub>) element in the DG scheme with the bilinear Q<jats:sub>1</jats:sub>P<jats:sub>0</jats:sub> and biquadratic Q<jats:sub>2</jats:sub>P<jats:sub>1</jats:sub> elements for velocity and their matching piecewise constant/linear elements for pressure in the standard continuous Galerkin (CG) scheme with respect to accuracy and memory usage in 2D benchmark setups. We find that for the chosen geodynamic benchmark setups the DG scheme with the BDM<jats:sub>1</jats:sub>P<jats:sub>0</jats:sub> element gives the expected convergence rates and accuracy but has (for fixed mesh) higher memory requirements than the CG scheme with the Q<jats:sub>1</jats:sub>P<jats:sub>0</jats:sub> element without yielding significantly higher accuracy. The DG scheme with the RT<jats:sub>0</jats:sub>P<jats:sub>0</jats:sub> element is cheaper than the other first‐order elements and yields almost the same accuracy in simple cases but does not converge for setups with non‐zero shear stress. The known instability modes of the Q<jats:sub>1</jats:sub>P<jats:sub>0</jats:sub> element did not play a role in the tested setups leading to the BDM<jats:sub>1</jats:sub>P<jats:sub>0</jats:sub> and Q<jats:sub>1</jats:sub>P<jats:sub>0</jats:sub> elements being equally reliable. Not only for a fixed mesh resolution, but also for fixed memory limitations, using a second‐order element like Q<jats:sub>2</jats:sub>P<jats:sub>1</jats:sub> gives higher accuracy than the considered first‐order elements.</jats:p>
Autoren
  • Ragnar S Lehmann
  • Mária Lukáčová‐Medvid'ová
  • Boris JP Kaus
  • Anton A Popov
DOI
10.1002/zamm.201400274
eISSN
1521-4001
ISSN
0044-2267
Ausgabe der Veröffentlichung
6
Zeitschrift
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Sprache
en
Online publication date
2015
Paginierung
733 - 746
Datum der Veröffentlichung
2016
Status
Published
Herausgeber
Wiley
Herausgeber URL
http://dx.doi.org/10.1002/zamm.201400274
Datum der Datenerfassung
2023
Titel
Comparison of continuous and discontinuous Galerkin approaches for variable‐viscosity Stokes flow
Ausgabe der Zeitschrift
96

Datenquelle: Crossref

Beziehungen:
Eigentum von

Werkzeuge