On the convergence rate of the DirichletNeumann iteration for unsteady thermal fluid structure interaction
(2018) In Computational Mechanics 62(3). p.525541 Abstract
 We consider the DirichletNeumann iteration for partitioned simulation of thermal fluidstructure interaction, also called conjugate heat transfer. We analyze its convergence rate for two coupled fully discretized 1D linear heat equations with jumps in the material coefficients across these. These are discretized using implicit Euler in time, a finite element method on one domain, a finite volume method on the other one and variable aspect ratio. We provide an exact formula for the spectral radius of the iteration matrix. This shows that for large time steps, the convergence rate is the aspect ratio times the quotient of heat conductivities and that decreasing the time step will improve the convergence rate. Numerical results... (More)
 We consider the DirichletNeumann iteration for partitioned simulation of thermal fluidstructure interaction, also called conjugate heat transfer. We analyze its convergence rate for two coupled fully discretized 1D linear heat equations with jumps in the material coefficients across these. These are discretized using implicit Euler in time, a finite element method on one domain, a finite volume method on the other one and variable aspect ratio. We provide an exact formula for the spectral radius of the iteration matrix. This shows that for large time steps, the convergence rate is the aspect ratio times the quotient of heat conductivities and that decreasing the time step will improve the convergence rate. Numerical results confirm
the analysis and show that the 1D formula is a good estimator in 2D and even for nonlinear thermal FSI applications. (Less)
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http://lup.lub.lu.se/record/0260cfd227474a38a38bd601979bedb8
 author
 Monge, Azahar ^{LU} and Birken, Philipp ^{LU}
 organization
 publishing date
 2018
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Computational Mechanics
 volume
 62
 issue
 3
 pages
 525  541
 publisher
 Springer
 external identifiers

 scopus:85034740185
 ISSN
 01787675
 DOI
 10.1007/s0046601715113
 language
 English
 LU publication?
 yes
 id
 0260cfd227474a38a38bd601979bedb8
 date added to LUP
 20170511 17:03:07
 date last changed
 20190120 05:45:23
@article{0260cfd227474a38a38bd601979bedb8, abstract = {We consider the DirichletNeumann iteration for partitioned simulation of thermal fluidstructure interaction, also called conjugate heat transfer. We analyze its convergence rate for two coupled fully discretized 1D linear heat equations with jumps in the material coefficients across these. These are discretized using implicit Euler in time, a finite element method on one domain, a finite volume method on the other one and variable aspect ratio. We provide an exact formula for the spectral radius of the iteration matrix. This shows that for large time steps, the convergence rate is the aspect ratio times the quotient of heat conductivities and that decreasing the time step will improve the convergence rate. Numerical results confirm<br/>the analysis and show that the 1D formula is a good estimator in 2D and even for nonlinear thermal FSI applications.}, author = {Monge, Azahar and Birken, Philipp}, issn = {01787675}, language = {eng}, number = {3}, pages = {525541}, publisher = {Springer}, series = {Computational Mechanics}, title = {On the convergence rate of the DirichletNeumann iteration for unsteady thermal fluid structure interaction}, url = {http://dx.doi.org/10.1007/s0046601715113}, volume = {62}, year = {2018}, }