| Abstract: | Pressure correction concept is widely used to solve incompressible Navier–Stokes problems numerically. Based on Krylov subspace methods, we introduce several new pressure correction algorithms. Compared with the traditional pressure correction methods, they do not need to solve the pressure Poisson equation, which appears to reduce the computational cost. The preconditioning technique links the pressure correction methods based on Krylov iterations and with the pressure Poisson equation. In order to investigate the convergence performance of the new methods, we carried out various numerical experiments. Moreover we also discuss some ways on computational cost. Finally, these pressure correction methods are applied to solve the three‐dimensional lid‐driven cavity flows. © Crown Copyright 2004. Reproduced with permission of Her Majesty's Stationery Office. Published by John Wiley & Sons, Ltd. |
