Numerical methods for unsteady thermal fluid structure interaction
(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:
https://lup.lub.lu.se/record/13b9465a-9b37-47da-9f00-da38681692b4
- author
- Birken, Philipp LU and Monge, Azahar LU
- organization
- publishing date
- 2017
- 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 and Yang, Huidong
- 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}}, booktitle = {{Fluid-Structure Interaction Modeling, Adaptive Discretisations and Solvers}}, 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}}, doi = {{10.1515/9783110494259-004}}, year = {{2017}}, }