On Schwarz Alternating Methods for the Incompressible Navier-Stokes Equations

On Schwarz Alternating Methods for the Incompressible Navier-stokes Equations in N Dimensions

An Alternating Direction Implicit Method for Modeling of Fluid Flow

This research includes of the numerical modeling of fluids in two-dimensional cavity. The cavity flow is an important theoretical problem. In this research, modeling was carried out based on an alternating direction implicit via Vorticity-Stream function formulation. It evaluates different Reynolds numbers and grid sizes. Therefore, for the flow field analysis and prove of the ability of the sc...

Schwarz domain decomposition for the incompressible Navier-Stokes equations in general co-ordinates

This report describes a domain decomposition method for the incompressible NavierStokes equations in general coordinates. Domain decomposition techniques are needed if we want to solve ows in complex geometries. The discretization is performed by a nite volume method combined with a staggered grid arrangement. The domain decomposition technique is of Schwarz type combined with a GMRES accelerat...

An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations

Efficient solution of the Navier-Stokes equations in complex domains is dependent upon the availability of fast solvers for sparse linear systems. For unsteady incompressible flows, the pressure operator is the leading contributor to stiffness, as the characteristic propagation speed is infinite. In the context of operator splitting formulations, it is the pressure solve which is the most compu...

A Combined Linear and Nonlinear Preconditioning Technique for Incompressible Navier-Stokes Equations

We propose a new two-level nonlinear additive Schwarz preconditioned inexact Newton algorithm (ASPIN). The two-level nonlinear preconditioner combines a local nonlinear additive Schwarz preconditioner and a global linear coarse preconditioner. Our parallel numerical results based on a lid-driven cavity incompressible flow problem show that the new two-level ASPIN is nearly scalable with respect...