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Two-Dimensional Incompressible Viscous Flow Simulation Using Velocity-Vorticity Dual Reciprocity Boundary Element Method

Published online by Cambridge University Press:  05 May 2011

T. I. Eldho  and
D. L. Young
T. I. Eldho*
Affiliation:
Department of Civil Engineering, Indian Institute of Technology, Bombay, Mumbai, India - 400 076
D. L. Young*
Affiliation:
Department of Civil Engineering & Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Assistant Professor
**Professor
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Abstract

This paper describes a computational model based on the dual reciprocity boundary element method (DRBEM) for the solution of two-dimensional incompressible viscous flow problems. The model is based on the Navier-Stokes equations in velocity-vorticity variables. The model includes the solution of vorticity transport equation for vorticity whose solenoidal vorticity components are obtained by solving Poisson equations involving the velocity and vorticity components. Both the Poisson equations and the vorticity transport equations are solved iteratively using DRBEM and combined to determine the velocity and vorticity vectors. In DRBEM, all source terms, advective terms and time dependent terms are converted into boundary integrals and hence the computational domain of the problem reduces by one. Internal points are considered wherever solution is required. The model has been applied to simulate two-dimensional incompressible viscous flow problems with low Reynolds (Re) number in a typical square cavity. Results are obtained and compared with other models. The DRBEM model has been found to be reasonable and satisfactory.

Keywords

Navier-Stokes equationsVelocity-vorticityDual reciprocity boundary element method.
Type
Articles
Information
Journal of Mechanics , Volume 20 , Issue 3 , September 2004 , pp. 177 - 185
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

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