Publisher DOI: 10.1016/j.cma.2014.02.021
Title: Error analysis and iterative solvers for Navier–Stokes projection methods with standard and sparse grad-div stabilization
Language: English
Authors: Bowers, Abigail L. 
Le Borne, Sabine  
Rebholz, Leo G. 
Keywords: Navier–Stokes equations;Projection methods;Sparse grad-div stabilization;Mass conservation;Iterative solvers
Issue Date: 15-Jun-2014
Publisher: Elsevier
Source: Computer Methods in Applied Mechanics and Engineering (275): 1-19 (2014)
Abstract (english): 
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
Institute: Mathematik E-10 
Document Type: Article
Journal: Computer methods in applied mechanics and engineering 
Appears in Collections:Publications without fulltext

Show full item record

Page view(s)

135
Last Week
1
Last month
3
checked on Jun 27, 2022

SCOPUSTM   
Citations

15
Last Week
0
Last month
0
checked on Jun 22, 2022

Google ScholarTM

Check

Add Files to Item

Note about this record

Cite this record

Export

Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.