Fast Solvers for Unsteady Thermal Fluid Structure Interaction
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/5363950
- author
- Birken, Philipp LU ; Gleim, Tobias ; Andreas, Kuhl and Andreas, Meister
- organization
- publishing date
- 2015
- 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 Inc.
- external identifiers
-
- wos:000358366500002
- scopus:84937521003
- ISSN
- 1097-0363
- DOI
- 10.1002/fld.4040
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- 932206f9-c716-44a0-aad3-f0258d03347c (old id 5363950)
- date added to LUP
- 2016-04-01 10:07:43
- date last changed
- 2022-04-12 02:11:31
@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}},
keywords = {{thermal fluid structure interaction; partitioned coupling; convergence acceleration; extrapolation}},
language = {{eng}},
number = {{1}},
pages = {{16--29}},
publisher = {{John Wiley & Sons Inc.}},
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}},
doi = {{10.1002/fld.4040}},
volume = {{79}},
year = {{2015}},
}