Table of Contents
Advances in Numerical Analysis
Volume 2016, Article ID 7010645, 13 pages
http://dx.doi.org/10.1155/2016/7010645
Research Article

Analysis of a Decoupled Time-Stepping Scheme for Evolutionary Micropolar Fluid Flows

Department of Mathematical Sciences, 201M Shelby Center for Science and Technology, The University of Alabama in Huntsville, Huntsville, AL 35899, USA

Received 28 April 2016; Accepted 26 June 2016

Academic Editor: William J. Layton

Copyright © 2016 S. S. Ravindran. 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

Micropolar fluid model consists of Navier-Stokes equations and microrotational velocity equations describing the dynamics of flows in which microstructure of fluid is important. In this paper, we propose and analyze a decoupled time-stepping algorithm for the evolutionary micropolar flow. The proposed method requires solving only one uncoupled Navier-Stokes and one microrotation subphysics problem per time step. We derive optimal order error estimates in suitable norms without assuming any stability condition or time step size restriction.