A Convective-Difference Scheme Using General Curvilinear Coordinate Grid for Incompressible Viscous Flow Problems.

A Central-Difference Scheme for a Pure Stream Function Formulation of Incompressible Viscous Flow

General Methodologies for Incompressible Flow Design Problems

Two design methodologies based on Incomplete-Gradient adjoint approaches for ow problems governed by the incompressible Navier-Stokes (NS) equations are presented. The main features of the algorithms is that they avoid solving the adjoint equations, saving an important amount of CPU time. Furthermore, the methodologies are general in the sense that they do not depend on the geometry representat...

Adaptive Defect-Correction Methods for Viscous Incompressible Flow Problems

We consider a defect correction method (DCM) which has been used extensively in applications where solutions have sharp transition regions, such as high Reynolds number fluid flow problems. A reliable a posteriori error estimator is derived for a defect correction method. The estimator is further studied for two examples: (a) the case of a linear-diffusion, nonlinear convection-reaction equatio...

Nested Cartesian grid method in incompressible viscous fluid flow

Article history: Received 15 January 2009 Received in revised form 16 April 2010 Accepted 28 May 2010 Available online 8 June 2010

Parallel Overlapping Scheme for Viscous Incompressible Flows

A 3D parallel overlapping scheme for viscous incompressible flow problems is presented that combines the finite element method, which is best suited for analysing flow in any arbitrarily shaped flow geometry, with the finite difference method, which is advantageous in terms of both computing time and computer storage. A modified ABMAC method is used as the solution algorithm, to which a sophist...