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Fast Solvers for Unsteady Thermal Fluid Structure Interaction

Birken, Philipp LU ; Gleim, Tobias; Andreas, Kuhl and Andreas, Meister (2015) In International Journal for Numerical Methods in Fluids 79(1). p.16-29
Abstract
We consider time-dependent thermal fluid structure interaction. The respective models are the compressible Navier–Stokes equations and the nonlinear heat equation. A partitioned coupling approach via a Dirichlet–Neumann method and a fixed point iteration is employed. As a reference solver, a previously developed efficient time-adaptive higher-order time integration scheme is used.



To improve on this, we work on reducing the number of fixed point coupling iterations. Using the idea of extrapolation based on data given from the time integration by deriving such methods for SDIRK2, it is possible to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than... (More)
We consider time-dependent thermal fluid structure interaction. The respective models are the compressible Navier–Stokes equations and the nonlinear heat equation. A partitioned coupling approach via a Dirichlet–Neumann method and a fixed point iteration is employed. As a reference solver, a previously developed efficient time-adaptive higher-order time integration scheme is used.



To improve on this, we work on reducing the number of fixed point coupling iterations. Using the idea of extrapolation based on data given from the time integration by deriving such methods for SDIRK2, it is possible to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic. This leads to schemes that can use less than two iterations per time step.



Furthermore, widely used vector extrapolation methods for convergence acceleration of the fixed point iteration are tested, namely Aitken relaxation, minimal polynomial extrapolation and reduced rank extrapolation. These have no beneficial effects. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
thermal fluid structure interaction, partitioned coupling, convergence acceleration, extrapolation
in
International Journal for Numerical Methods in Fluids
volume
79
issue
1
pages
16 - 29
publisher
John Wiley & Sons
external identifiers
  • wos:000358366500002
  • scopus:84937521003
ISSN
1097-0363
DOI
10.1002/fld.4040
language
English
LU publication?
yes
id
932206f9-c716-44a0-aad3-f0258d03347c (old id 5363950)
date added to LUP
2015-05-29 12:55:16
date last changed
2017-08-13 03:07:18
@article{932206f9-c716-44a0-aad3-f0258d03347c,
  abstract     = {We consider time-dependent thermal fluid structure interaction. The respective models are the compressible Navier–Stokes equations and the nonlinear heat equation. A partitioned coupling approach via a Dirichlet–Neumann method and a fixed point iteration is employed. As a reference solver, a previously developed efficient time-adaptive higher-order time integration scheme is used.<br/><br>
<br/><br>
To improve on this, we work on reducing the number of fixed point coupling iterations. Using the idea of extrapolation based on data given from the time integration by deriving such methods for SDIRK2, it is possible to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic. This leads to schemes that can use less than two iterations per time step.<br/><br>
<br/><br>
Furthermore, widely used vector extrapolation methods for convergence acceleration of the fixed point iteration are tested, namely Aitken relaxation, minimal polynomial extrapolation and reduced rank extrapolation. These have no beneficial effects.},
  author       = {Birken, Philipp and Gleim, Tobias and Andreas, Kuhl and Andreas, Meister},
  issn         = {1097-0363},
  keyword      = {thermal fluid structure interaction,partitioned coupling,convergence acceleration,extrapolation},
  language     = {eng},
  number       = {1},
  pages        = {16--29},
  publisher    = {John Wiley & Sons},
  series       = {International Journal for Numerical Methods in Fluids},
  title        = {Fast Solvers for Unsteady Thermal Fluid Structure Interaction},
  url          = {http://dx.doi.org/10.1002/fld.4040},
  volume       = {79},
  year         = {2015},
}