Bidimensional Modeling For Incompressible
Viscous Flow Using The Circumcenter Based
Approach In An Unstructured Grid
Author(s)
A. L. Fazenda & J. S. Travelho
Abstract
A possible approach for modeling two-dimensional convection-diffusion
problems in a cell-centered scheme with an unstructured triangular grid is the use
of the Circumcenter, that is the center of the circumference that passes through
the vertices of the triangular volume. This point is used to calculate all variables
involved in the numerical simulation, and a Finite Volume Method was use to
discretize the equations of an Incompressible Viscous Flow. This work analyzes
classical problems of bidimensional flow, such as the inlet region of a Poiseuille
flow, lid-driven cavity, backward-facing step and free convection with
Boussinesq approximation. The application of the method has been shown to be
a simple and flexible scheme and the results fit the analytical, experimental or
numeric data presented in the literature.
Keywords: unstructured grid, cell-centered scheme, incompressible flow,
Circumcenter Approach.
1 Introduction
The numerical modeling of incompressible viscous flow has received special
attention in recent decades, in particular because of the Velocity–Pressure
relationship. Therefore, numerous different strategies to create equations that
model the phenomena have been developed.
Keywords
unstructured grid, cell-centered scheme, incompressible flow,
Circumcenter Approach
Related Book
Other papers in this volume
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