Verlagslink DOI: 10.1016/j.cma.2014.02.021
Titel: Error analysis and iterative solvers for Navier–Stokes projection methods with standard and sparse grad-div stabilization
Sprache: Englisch
Autor/Autorin: Bowers, Abigail L. 
Le Borne, Sabine  
Rebholz, Leo G. 
Schlagwörter: Navier–Stokes equations; Projection methods; Sparse grad-div stabilization; Mass conservation; Iterative solvers
Erscheinungs­datum: 15-Jun-2014
Verlag: Elsevier
Quellenangabe: Computer Methods in Applied Mechanics and Engineering (275): 1-19 (2014)
Zusammenfassung (englisch): 
This paper shows that use of a recently introduced sparse grad-div stabilization can increase the accuracy of projection methods for solving the Navier–Stokes equations. Sparse grad-div stabilization has recently been introduced as an alternative to standard grad-div stabilization which has a sparser matrix representation. For both sparse and standard grad-div stabilized projection methods, we prove error estimates and provide numerical experiments which reveal that both stabilizations can cause a significant decrease in the error. We then compare iterative solvers for the linear systems of equations arising from the use of both of the stabilizations. A theoretical analysis of a simplified model problem as well as numerical tests show that iterative solvers perform better for systems arising from sparse grad-div compared to standard grad-div stabilized systems.
URI: http://hdl.handle.net/11420/4966
ISSN: 0045-7825
Zeitschrift: Computer methods in applied mechanics and engineering 
Institut: Mathematik E-10 
Dokumenttyp: Artikel/Aufsatz
Enthalten in den Sammlungen:Publications without fulltext

Zur Langanzeige

Seitenansichten

147
Letzte Woche
1
Letzten Monat
3
checked on 04.10.2022

SCOPUSTM   
Zitate

15
Letzte Woche
0
Letzten Monat
0
checked on 30.06.2022

Google ScholarTM

Prüfe

Volltext ergänzen

Feedback zu diesem Datensatz

Diesen Datensatz zitieren

Export

Alle Ressourcen in diesem Repository sind urheberrechtlich geschützt.