Please use this identifier to cite or link to this item: 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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