## Abstract We examine the convergence characteristics of iterative methods based on a new preconditioning operator for solving the linear systems arising from discretization and linearization of the steady‐state Navier–Stokes equations. For steady‐state problems, we show that the preconditioned pr
FAST ITERATIVE SOLVERS FOR THE DISCRETIZED INCOMPRESSIBLE NAVIER–STOKES EQUATIONS
✍ Scribed by C VUIK
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 909 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0271-2091
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper some iterative solution methods of the GMRES type for the discretized Navier-Stokes equations are treated. The discretization combined with a pressure correction scheme leads to two different types of systems of linear equations: the momentum system and the pressure system. These systems may be coupled to one or more transport equations. For every system we specify a particular LU-type preconditioner and show how to vectorize these preconditions. Finally, some numerical experiments to show the efficiency of the proposed methods are presented.
📜 SIMILAR VOLUMES
Incompressible unsteady Navier-Stokes equations in pressure -velocity variables are considered. By use of the implicit and semi-implicit schemes presented the resulting system of linear equations can be solved by a robust and efficient iterative method. This iterative solver is constructed for the s
A multigrid solver for the steady incompressible Navier-Stokes equations on a curvilinear grid is constructed. The Cartesian velocity components are used in the discretization of the momentum equations. A staggered, geometrically symmetric distribution of velocity components is adopted which elimina