Designing optimal smoothers for multigrid methods for unsteady flow problems
(2011)- Abstract
- We consider the solution of unsteady flow problems using multigrid methods. There, the typical solver comes from a dual time stepping approach, where an existing method designed for a steady problem is used for unsteady flows. This design mismatch leads to a significant decrease in convergence speed. Here, we will use the linear advection equation as a model problem to find optimal Runge-Kutta smoothers specifically for the unsteady case, based on a Fourier analysis. This leads to a significantly improved multigrid method.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/0d62539b-e3c2-4fa1-babf-6c052342696b
- author
- Birken, P. LU
- organization
- publishing date
- 2011
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- host publication
- 20th AIAA Computational Fluid Dynamics Conference 2011
- external identifiers
-
- scopus:85087244397
- ISBN
- 9781624101489
- language
- English
- LU publication?
- yes
- id
- 0d62539b-e3c2-4fa1-babf-6c052342696b
- date added to LUP
- 2019-02-07 18:00:12
- date last changed
- 2022-01-31 17:27:19
@inproceedings{0d62539b-e3c2-4fa1-babf-6c052342696b, abstract = {{We consider the solution of unsteady flow problems using multigrid methods. There, the typical solver comes from a dual time stepping approach, where an existing method designed for a steady problem is used for unsteady flows. This design mismatch leads to a significant decrease in convergence speed. Here, we will use the linear advection equation as a model problem to find optimal Runge-Kutta smoothers specifically for the unsteady case, based on a Fourier analysis. This leads to a significantly improved multigrid method.}}, author = {{Birken, P.}}, booktitle = {{20th AIAA Computational Fluid Dynamics Conference 2011}}, isbn = {{9781624101489}}, language = {{eng}}, title = {{Designing optimal smoothers for multigrid methods for unsteady flow problems}}, year = {{2011}}, }