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https://doi.org/10.1137/060673722
Title: | Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation | Authors: | Lin, P. Liu, J.-G. Lu, X. |
Keywords: | Approximate projection Constrained dynamical system Iterative penalty method Long time solution Navier-Stokes equations Sequential regularization |
Issue Date: | 2008 | Citation: | 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. ScholarBank@NUS Repository. https://doi.org/10.1137/060673722 | Abstract: | 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. | Source Title: | SIAM Journal on Scientific Computing | URI: | http://scholarbank.nus.edu.sg/handle/10635/103516 | ISSN: | 10648275 | DOI: | 10.1137/060673722 |
Appears in Collections: | Staff Publications |
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