Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 372703, 26 pages
Research Article

On Numerical Solution of the Incompressible Navier-Stokes Equations with Static or Total Pressure Specified on Boundaries

School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima 30000, Thailand

Received 14 October 2008; Revised 9 February 2009; Accepted 27 March 2009

Academic Editor: Saad A. Ragab

Copyright © 2009 N. P. Moshkin and D. Yambangwai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The purpose of this article is to develop and validate a computational method for the solution of viscous incompressible flow in a domain with specified static or total pressure on the flow-through boundaries (inflow and outflow). The computational algorithm is based on the Finite Volume Method in nonstaggered boundary-fitted grid. The implementations of the boundary conditions on the flow-through parts of the boundary are discussed. Test examples illustrate the main features and validity of the proposed method to study viscous incompressible flow through a bounded domain with specified static pressure (or total pressure) on boundary as a part of well-posed boundary conditions.