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

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

On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems

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...

Implicit preconditioned WENO scheme for steady viscous flow computation

Article history: Received 31 March 2008 Received in revised form 2 September 2008 Accepted 21 September 2008 Available online 2 October 2008