Solving nonlinear systems inside implicit time integration schemes for unsteady viscous flows
(2013) Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws and their Use in Science and Engineering In Notes on Numerical Fluid Mechanics and Multidisciplinary Design 120. p.57-71- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/55817393-ef2c-4df1-949e-743fcd7b7b58
- author
- Birken, P. LU
- publishing date
- 2013
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws : Lectures Presented at a Workshop at the Mathematical Research Institute Oberwolfach, Germany, Jan 15 – 21, 2012 - Lectures Presented at a Workshop at the Mathematical Research Institute Oberwolfach, Germany, Jan 15 – 21, 2012
- series title
- Notes on Numerical Fluid Mechanics and Multidisciplinary Design
- editor
- Ansorge, Rainer ; Bijl, Hester ; Meister, Andreas and Sonar, Thomas
- volume
- 120
- pages
- 57 - 71
- publisher
- Springer
- conference name
- Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws and their Use in Science and Engineering
- conference location
- Oberwolfach, Germany
- conference dates
- 2012-01-15 - 2012-01-21
- external identifiers
-
- scopus:84868562237
- ISSN
- 1612-2909
- 1860-0824
- ISBN
- 9783642332210
- 9783642332203
- DOI
- 10.1007/978-3-642-33221-0_4
- language
- English
- LU publication?
- no
- id
- 55817393-ef2c-4df1-949e-743fcd7b7b58
- date added to LUP
- 2019-02-08 11:24:01
- date last changed
- 2024-07-09 06:13:29
@inproceedings{55817393-ef2c-4df1-949e-743fcd7b7b58, 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.}}, author = {{Birken, P.}}, booktitle = {{Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws : Lectures Presented at a Workshop at the Mathematical Research Institute Oberwolfach, Germany, Jan 15 – 21, 2012}}, editor = {{Ansorge, Rainer and Bijl, Hester and Meister, Andreas and Sonar, Thomas}}, isbn = {{9783642332210}}, issn = {{1612-2909}}, language = {{eng}}, pages = {{57--71}}, publisher = {{Springer}}, series = {{Notes on Numerical Fluid Mechanics and Multidisciplinary Design}}, title = {{Solving nonlinear systems inside implicit time integration schemes for unsteady viscous flows}}, url = {{http://dx.doi.org/10.1007/978-3-642-33221-0_4}}, doi = {{10.1007/978-3-642-33221-0_4}}, volume = {{120}}, year = {{2013}}, }