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Numerical methods for unsteady thermal fluid structure interaction

Birken, Philipp LU and Monge, Azahar LU (2017) p.129-168
Abstract
We discuss thermal fluid-structure interaction processes, where a simulation of the time-dependent temperature field is of interest. Thereby, we consider partitioned coupling schemes with a Dirichlet-Neumann method. We present an analysis of the method on a model problem of discretized coupled linear heat equations. This shows that for large quotients in the heat conductivities, the convergence rate will be very small. The time dependencymakes the use of time-adaptive implicitmethods imperative. This gives rise to the question as to how accurately the appearing nonlinear systems should be solved, which is discussed in detail for both the nonlinear and linear case. The efficiency of the resulting method is demonstrated using realistic test... (More)
We discuss thermal fluid-structure interaction processes, where a simulation of the time-dependent temperature field is of interest. Thereby, we consider partitioned coupling schemes with a Dirichlet-Neumann method. We present an analysis of the method on a model problem of discretized coupled linear heat equations. This shows that for large quotients in the heat conductivities, the convergence rate will be very small. The time dependencymakes the use of time-adaptive implicitmethods imperative. This gives rise to the question as to how accurately the appearing nonlinear systems should be solved, which is discussed in detail for both the nonlinear and linear case. The efficiency of the resulting method is demonstrated using realistic test cases. (Less)
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
host publication
Fluid-Structure Interaction Modeling, Adaptive Discretisations and Solvers
editor
Stefan, Frei; Holm, Bärbel; Richter, Thomas; Wick, Thomas; Yang, Huidong; ; ; ; and
pages
40 pages
publisher
De Gruyter
ISBN
9783110494259
DOI
10.1515/9783110494259-004
language
English
LU publication?
yes
id
13b9465a-9b37-47da-9f00-da38681692b4
date added to LUP
2017-12-01 09:54:10
date last changed
2018-11-21 21:36:20
@inbook{13b9465a-9b37-47da-9f00-da38681692b4,
  abstract     = {We discuss thermal fluid-structure interaction processes, where a simulation of the time-dependent temperature field is of interest. Thereby, we consider partitioned coupling schemes with a Dirichlet-Neumann method. We present an analysis of the method on a model problem of discretized coupled linear heat equations. This shows that for large quotients in the heat conductivities, the convergence rate will be very small. The time dependencymakes the use of time-adaptive implicitmethods imperative. This gives rise to the question as to how accurately the appearing nonlinear systems should be solved, which is discussed in detail for both the nonlinear and linear case. The efficiency of the resulting method is demonstrated using realistic test cases.},
  author       = {Birken, Philipp and Monge, Azahar},
  editor       = {Stefan, Frei and Holm, Bärbel and Richter, Thomas and Wick, Thomas and Yang, Huidong},
  isbn         = {9783110494259},
  language     = {eng},
  pages        = {129--168},
  publisher    = {De Gruyter},
  title        = {Numerical methods for unsteady thermal fluid structure interaction},
  url          = {http://dx.doi.org/10.1515/9783110494259-004},
  year         = {2017},
}