Title: Effect of boundary location on the steady flow past an impulsively started circular cylinder

Authors: Jiten C. Kalita

Addresses: Department of Mathematics, Indian Institute of Technology, Guwahati 781 039, India

Abstract: In this paper, we study the effect of the outer boundary location for the flow past an impulsively started circular cylinder at low Reynolds numbers (Re). The assumed far field represented by the outer radius of the annular physical domain is thoroughly investigated along with that of the position of the cross-cut. We present numerical solutions for the steady-state Navier-Stokes equations that govern the incompressible viscous flows such as the one studied here. The simulations are carried out with the help of a recently developed fourth order accurate compact scheme. It is seen that length of the outer radius always affects the flow variables irrespective of the grid size and the cross-cut positioned at the left side of the cylinder yields more efficient computation than the one located on the right. Comparisons are made with established numerical and experimental results and excellent agreement is found in all the cases, both qualitatively and quantitatively confirming the efficiency of the HOC scheme being used.

Keywords: higher order compact finite difference; HOC finite difference; Navier-Stokes; circular cylinders; grid stretching; cross-cut; convergence; boundary location; steady flow; viscous flow; incompressible flow; simulation.

DOI: 10.1504/IJCSM.2014.064855

International Journal of Computing Science and Mathematics, 2014 Vol.5 No.3, pp.252 - 279

Received: 11 Dec 2012
Accepted: 21 Mar 2013
Published online: 27 Sep 2014 *

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