Journal of Mechanics

Table of Contents - September 2004 - Volume 20, Issue 03  

Articles

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

T. I. Eldhoa1 c1 and D. L. Younga2 c2

a1 Department of Civil Engineering, Indian Institute of Technology, Bombay, Mumbai, India - 400 076

a2 Department of Civil Engineering & Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan 10617, R.O.C.

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.

(Received April 14 2004)

(Accepted September 01 2004)

Keywords

  • Navier-Stokes equations;
  • Velocity-vorticity;
  • Dual reciprocity boundary element method.

Correspondence:

c1 Assistant Professor

c2 Professor