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Designing optimal smoothers for multigrid methods for unsteady flow problems

Birken, P. LU (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:
author
organization
publishing date
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
2025-10-14 09:35:47
@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}},
}