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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. 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
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
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.
conference location
Stuttgart, Germany
conference dates
2014-10-06 - 2014-10-10
external identifiers
  • scopus:84951269704
DOI
10.1007/978-3-319-22997-3_13
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
77d4e38d-c7b4-43c3-bd24-d32aec80f226 (old id 8146337)
date added to LUP
2016-04-04 11:04:46
date last changed
2022-01-29 21:20:09
@inproceedings{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}},
  booktitle    = {{Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering)}},
  editor       = {{Mehl, Miriam and Bischoff, Manfred and Schäfer, Michael}},
  language     = {{eng}},
  pages        = {{215--231}},
  publisher    = {{Springer}},
  title        = {{Extrapolation in Time in Thermal Fluid Structure Interaction}},
  url          = {{http://dx.doi.org/10.1007/978-3-319-22997-3_13}},
  doi          = {{10.1007/978-3-319-22997-3_13}},
  volume       = {{105}},
  year         = {{2015}},
}