Solving nonlinear systems inside implicit time integration schemes for unsteady viscous flows

Forskningsoutput: Kapitel i bok/rapport/Conference proceedingKonferenspaper i proceeding

Abstract

We considered nonlinear solvers inside implicit time integration schemes for the time dependent compressible Navier-Stokes equations. The existing solvers turn out to be adequate, but amenable to significant improvements. Regarding multigrid schemes, we demonstrated that reoptimizing a multigrid scheme for the case of a time dependent equation leads to significant improvements in convergence speed compared to reusing the steady state method. As for Newton schemes, inexact Jacobian-free Newton-GMRES methods using the Eisenstat-Walker strategy are easy to implement and fast and, as opposed to the situation for steady flows, a true alternative to multigrid.

Detaljer

Författare
Enheter & grupper
Originalspråkengelska
Titel på värdpublikationRecent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
Undertitel på gästpublikationLectures Presented at a Workshop at the Mathematical Research Institute Oberwolfach, Germany, Jan 15 – 21, 2012
RedaktörerRainer Ansorge, Hester Bijl, Andreas Meister, Thomas Sonar
FörlagSpringer
Volym120
ISBN (tryckt)9783642332203
StatusPublished - 2013
PublikationskategoriForskning
Peer review utfördJa

Publikationsserier

NamnNotes on Numerical Fluid Mechanics and Multidisciplinary Design
FörlagSpringer