Publications [#246941] of Jian-Guo Liu

Papers Published
  1. Lin, P; Liu, J-G; Lu, X, Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation, SIAM Journal on Scientific Computing, vol. 31 no. 1 (2008), pp. 398-419 [doi] .

    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.