期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 275, 期 -, 页码 1-19出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2014.02.021
关键词
Navier-Stokes equations; Projection methods; Sparse grad-div stabilization; Mass conservation; Iterative solvers
资金
- NSF [DMS1112593]
- Direct For Computer & Info Scie & Enginr
- Division Of Computer and Network Systems [1228312] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1112593] Funding Source: National Science Foundation
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. (C) 2014 Elsevier B.V. All rights reserved.
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