Quasi-Newton waveform iteration for partitioned surface-coupled multiphysics applications
(2021) In International Journal for Numerical Methods in Engineering 122(19). p.5236-5257- Abstract
We present novel coupling schemes for partitioned multiphysics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast and robust acceleration of the corresponding iterative coupling, support for multirate time stepping, and higher-order convergence in time. To achieve this, we combine waveform relaxation—a known method to achieve higher-order in applications with split time stepping based on continuous representations of coupling variables in time— with interface quasi-Newton coupling, which has been developed throughout the last decade and is generally accepted as a very robust iterative coupling method even for gluing together black-box simulation codes. We show convergence... (More)
We present novel coupling schemes for partitioned multiphysics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast and robust acceleration of the corresponding iterative coupling, support for multirate time stepping, and higher-order convergence in time. To achieve this, we combine waveform relaxation—a known method to achieve higher-order in applications with split time stepping based on continuous representations of coupling variables in time— with interface quasi-Newton coupling, which has been developed throughout the last decade and is generally accepted as a very robust iterative coupling method even for gluing together black-box simulation codes. We show convergence results (in terms of convergence of the iterative solver and in terms of approximation order in time) for two academic testcases—a heat transfer scenario and a fluid-structure interaction simulation. We show that we achieve the expected approximation order and that our iterative method is competitive in terms of iteration counts with those designed for simpler first-order-in-time coupling.
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- author
- Rüth, Benjamin LU ; Uekermann, Benjamin ; Mehl, Miriam ; Birken, Philipp LU ; Monge, Azahar LU and Bungartz, Hans Joachim
- organization
- publishing date
- 2021
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- conjugate heat transfer, fluid-structure interaction, higher-order, multiphysics, multirate, multiscale, quasi-Newton, waveform iteration
- in
- International Journal for Numerical Methods in Engineering
- volume
- 122
- issue
- 19
- pages
- 5236 - 5257
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- scopus:85089003691
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.6443
- language
- English
- LU publication?
- yes
- id
- 843c5cb4-c5b6-4cc1-ace8-846ecbeec93f
- date added to LUP
- 2020-08-13 14:22:45
- date last changed
- 2022-04-19 00:07:56
@article{843c5cb4-c5b6-4cc1-ace8-846ecbeec93f,
abstract = {{<p>We present novel coupling schemes for partitioned multiphysics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast and robust acceleration of the corresponding iterative coupling, support for multirate time stepping, and higher-order convergence in time. To achieve this, we combine waveform relaxation—a known method to achieve higher-order in applications with split time stepping based on continuous representations of coupling variables in time— with interface quasi-Newton coupling, which has been developed throughout the last decade and is generally accepted as a very robust iterative coupling method even for gluing together black-box simulation codes. We show convergence results (in terms of convergence of the iterative solver and in terms of approximation order in time) for two academic testcases—a heat transfer scenario and a fluid-structure interaction simulation. We show that we achieve the expected approximation order and that our iterative method is competitive in terms of iteration counts with those designed for simpler first-order-in-time coupling.</p>}},
author = {{Rüth, Benjamin and Uekermann, Benjamin and Mehl, Miriam and Birken, Philipp and Monge, Azahar and Bungartz, Hans Joachim}},
issn = {{0029-5981}},
keywords = {{conjugate heat transfer; fluid-structure interaction; higher-order; multiphysics; multirate; multiscale; quasi-Newton; waveform iteration}},
language = {{eng}},
number = {{19}},
pages = {{5236--5257}},
publisher = {{John Wiley & Sons Inc.}},
series = {{International Journal for Numerical Methods in Engineering}},
title = {{Quasi-Newton waveform iteration for partitioned surface-coupled multiphysics applications}},
url = {{http://dx.doi.org/10.1002/nme.6443}},
doi = {{10.1002/nme.6443}},
volume = {{122}},
year = {{2021}},
}