Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation
Publication
, Journal Article
Lin, P; Liu, JG; Lu, X
Published in: SIAM Journal on Scientific Computing
January 1, 2008
The sequential regularization method is a reformulation of the unsteady Navier-Stokes equations from the viewpoint of constrained dynamical systems or the approximate Helmholtz-Hodge projection. In this paper we study the long time behavior of the sequential regularization formulation. We give a uniform-in-time estimate between the solution of the reformulated system and that of the Navier-Stokes equations. We also conduct an error analysis for the temporal discrete system and show that the error bound is independent of time. A couple of long time flow examples are computed to demonstrate this method. © 2008 Society for Industrial and Applied Mathematics.
Duke Scholars
Published In
SIAM Journal on Scientific Computing
DOI
ISSN
1064-8275
Publication Date
January 1, 2008
Volume
31
Issue
1
Start / End Page
398 / 419
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
Citation
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Chicago
ICMJE
MLA
NLM
Lin, P., Liu, J. G., & Lu, X. (2008). Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation. SIAM Journal on Scientific Computing, 31(1), 398–419. https://doi.org/10.1137/060673722
Lin, P., J. G. Liu, and X. Lu. “Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation.” SIAM Journal on Scientific Computing 31, no. 1 (January 1, 2008): 398–419. https://doi.org/10.1137/060673722.
Lin P, Liu JG, Lu X. Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation. SIAM Journal on Scientific Computing. 2008 Jan 1;31(1):398–419.
Lin, P., et al. “Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation.” SIAM Journal on Scientific Computing, vol. 31, no. 1, Jan. 2008, pp. 398–419. Scopus, doi:10.1137/060673722.
Lin P, Liu JG, Lu X. Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation. SIAM Journal on Scientific Computing. 2008 Jan 1;31(1):398–419.
Published In
SIAM Journal on Scientific Computing
DOI
ISSN
1064-8275
Publication Date
January 1, 2008
Volume
31
Issue
1
Start / End Page
398 / 419
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics