Abstract
The paper analyses the implantation of three of the most performant preconditioned generalized conjugate gradient (PGCG) methods in the defect - correction (DC) iteration. The test problems are the Navier-Stokes equations which describe the incompressible, axisymmetric steady flow past a circular cylinder and past a sphere. The PGCG methods, being linear solvers a Newton process must be used in the DC iteration. The necessary number of Newton steps in a DC step is analysed. The preconditioner used is based on the ILU of the Jacobi matrix. The quantities which monitored the computational behaviour are the average reduction factor (ρ) and the efficiency (τ). The computational results are compared with those provided by the multigrid (MG) - DC method.
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