The Newton-Krylov method is used to solve the incompressible Navier-Stokes equations. In the present study, two numerical schemes are considered for the method: employing the predictor-corrector method as preconditioner, and solving the equations without the preconditioner. The standard driven cavity flow is ...
The Newton-Krylov method is used to solve the incompressible Navier-Stokes equations. In the present study, two numerical schemes are considered for the method: employing the predictor-corrector method as preconditioner, and solving the equations without the preconditioner.
The Newton-Krylov method is used to solve the incompressible Navier-Stokes equations. In the present study, two numerical schemes are considered for the ...
Abstract. The Newton-Krylov method is used to solve the incompress- ible Navier-Stokes equations. In the present study, two numerical schemes are considered for the method: employing the predictor-corrector method as preconditioner, and solving the equations without the preconditioner. The standard driven cavity ...
An investigation of preconditioning techniques is presented for a Newton–Krylov algorithm that is used for the computation of steady, compressible, high Reynolds number flows about airfoils. A second- order centred-difference method is used to discretize the compressible Navier–Stokes (NS) equations that govern the ...
Missing: Corrector | Show results with:Corrector
To test the performance of the approach we consider a non-linear diffusion problem and the standard driven cavity problem for incompressible flows.
In this paper, we study an efficient strategy for constructing preconditioners for the Newton–Krylov matrix-free methods without forming explicitly the higher order matrix associated with each linear step in the Newton iteration. These preconditioners are formed instead using an explicit derivation of a lower order ...
Missing: Corrector | Show results with:Corrector
A preconditioner is constructed by using these pressure-correction methods as smoothers in a linear multigrid procedure. The effectiveness of the resulting Newton--Krylov-multigrid method is demonstrated on benchmark incompressible flow problems.
We propose a different implementation approach to re-utilize existing semi-implicit methods to precondition fully implicit non-linear schemes. We propose a predictor-corrector approach where the fully non-linear scheme is the corrector and the pre-existing semi-implicit scheme is the predictor.
Apr 1, 2008 · Flow structure at steady state for Re=1000. For reference, we present results for a case with a mesh of 129×129 cells. The classic cavity flow solution is computed starting from a stagnant flow, allowing the boundary conditions to drive the cavity to a steady state. The flow condition at steady state is.