Vortex Flows and Related Numerical Methods II
ESAIM: Proceedings,
Vol. 1, 1996, pp. 33-47
Simulation of Three-Dimensional Internal Flows by
the Random Vortex and Boundary Element Methods
Adrin Gharakhani and Ahmed F. Ghoniem
Department of Mechanical Engineering
Massachusetts Institute of Technology
Cambridge, MA 02139, USA
Abstract
A vortex boundary element method is developed for the grid-free
simulation of time-dependent, incompressible, viscous flow in three
dimensional configurations. The numerical scheme is based on a
combination of the Lagrangian vortex method to capture the convection
and stretch of the vortical field, the random walk method to describe
the diffusion process, and the boundary element method to impose the
normal flux boundary condition on the boundary surfaces. The no-slip
boundary condition is satisfied by an extended vortex tile generation
mechanism. A new boundary condition is devised to impose the fully
developed flow properties at the exit plane. The formulation of the
numerical scheme is presented, followed by a parametric study of the
accuracy of the method using the model problem of flow in a duct with
square cross-section at Re=100. Additionally, results from an
example of piston driven flow in a cylinder with square cross-section
and an offset port at Re=350 (based on the piston side and
maximum speed) are presented.
Vortex Flows and Related
Numerical Methods II
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