Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 105735, 23 pages
http://dx.doi.org/10.1155/2012/105735
Research Article

On the Error Estimates of a New Operator Splitting Scheme for the Navier-Stokes Equations with Coriolis Force

Chunjiang Shuai,1 Kaimin Teng,2 and Hongen Jia2

1School of Physics and Electronic Information Engineering, Shaanxi University of Technology, Hanzhong 723003, China
2College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

Received 10 July 2012; Accepted 29 October 2012

Academic Editor: Trung Nguyen Thoi

Copyright © 2012 Chunjiang Shuai et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An operator splitting scheme is introduced for the numerical solution of the incompressible Navier-Stokes equations with Coriolis force. Under some mild regularity assumptions on the continuous solution, error estimates and the stability analysis for the velocity and the pressure of the new operator splitting scheme are obtained. Some numerical results are presented to verify the theoretical predictions.