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Error estimates for an operator-splitting method for Navier–Stokes equations: Second-order schemes

✍ Scribed by Xiaoxia Dai; Jie Sun; Xiaoliang Cheng

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
582 KB
Volume
231
Category
Article
ISSN
0377-0427

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✦ Synopsis

We present in this paper an error analysis of a fractional-step method for the approximation of the unsteady incompressible Navier-Stokes equations. Under mild regularity assumptions on the continuous solution, we obtain second-order error estimates in the time step size, both for velocity and pressure. Numerical results in agreement with the error analysis are also presented.

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