Abstract
In this paper, we present a new iterative method for solving the stationary Navier–Stokes equations (NSEs) at high Reynolds numbers. The method consists of first solving the NSEs by the Oseen iterative scheme and then an error correction strategy is implemented to control the error arising from the linearization of the nonlinear NSEs. The new method retains the advantage of the classical Oseen scheme, but it leads to a rapid rate of convergence and also enhances the capability for solving problems with higher Reynolds numbers. It will be shown that, under the uniqueness condition, the proposed method accelerates up to a factor of three in the convergence rate. The stability analysis and error estimate are presented. Furthermore, numerical simulations using the new method and other classical schemes are reported to verify the superior performance of the proposed method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
