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Extrapolation in Time in Thermal Fluid Structure Interaction

Birken, Philipp LU ; Gleim, Tobias; Kuhl, Detlef and Meister, Andreas (2015) 3rd International Workshop on Computational Engineering CE2014. In Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering) 105. p.215-231
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 upon this, we work on reducing the number of fixed point coupling iterations. Thus, we explore the idea of extrapolation based on data given from the time integration and derive such methods for SDIRK2. This allows to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic.
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
subject
in
Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering)
editor
Mehl, Miriam; Bischoff, Manfred and Schäfer, Michael
volume
105
pages
17 pages
publisher
Springer
conference name
3rd International Workshop on Computational Engineering CE2014.
external identifiers
  • Scopus:84951269704
DOI
10.1007/978-3-319-22997-3_13
language
English
LU publication?
yes
id
77d4e38d-c7b4-43c3-bd24-d32aec80f226 (old id 8146337)
date added to LUP
2016-01-28 19:08:58
date last changed
2016-10-13 04:43:49
@misc{77d4e38d-c7b4-43c3-bd24-d32aec80f226,
  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 upon this, we work on reducing the number of fixed point coupling iterations. Thus, we explore the idea of extrapolation based on data given from the time integration and derive such methods for SDIRK2. This allows to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic.},
  author       = {Birken, Philipp and Gleim, Tobias and Kuhl, Detlef and Meister, Andreas},
  editor       = {Mehl, Miriam and Bischoff, Manfred and Schäfer, Michael},
  language     = {eng},
  pages        = {215--231},
  publisher    = {ARRAY(0x90e5590)},
  series       = {Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering)},
  title        = {Extrapolation in Time in Thermal Fluid Structure Interaction},
  url          = {http://dx.doi.org/10.1007/978-3-319-22997-3_13},
  volume       = {105},
  year         = {2015},
}