A Simple Test Case for Convergence Order in Time and Energy Conservation of Black-Box Coupling Schemes
(2022) 15th World Congress on Computational Mechanics & 8th Asian Pacific Congress on Computational Mechanics, WCCM-APCOM 2022- Abstract
- The most commonly used coupling schemes in partitioned multiphysics simulations suffer from a decrease in the order of convergence, specifically in the time domain; a phenomenon we call order degradation. This paper discusses when this issue arises and how it can be studied with a simple example. We present a simple mass-spring system of ordinary differential equations (ODEs) to analyze accuracy and energy conservation of different coupling schemes. The ability to restore higher order of convergence by using Strang splitting or waveform iterations is verified in the context of the presented example.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/d317dcd7-c6cd-4b79-a446-badc194710c4
- author
- Schüller, Valentina LU ; Rodenberg, Benjamin ; Uekermann, Benjamin and Bungartz, Hans-Joachim
- publishing date
- 2022-07
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- equation coupling, co-simulation, waveform iterations, multiphysics, Strang splitting, order degradation
- host publication
- WCCM-APCOM 2022 : Collection of papers presented at the WCCM-APCOM 2022, Yokohama, July 31 to August 5, 2022. - Collection of papers presented at the WCCM-APCOM 2022, Yokohama, July 31 to August 5, 2022.
- pages
- 12 pages
- publisher
- Scipedia
- conference name
- 15th World Congress on Computational Mechanics & 8th Asian Pacific Congress on Computational Mechanics, WCCM-APCOM 2022
- conference location
- Yokohama, Japan
- conference dates
- 2022-07-31 - 2022-08-05
- external identifiers
-
- scopus:85180763631
- ISBN
- 978-84-123222-8-6
- DOI
- 10.23967/wccm-apcom.2022.038
- language
- English
- LU publication?
- no
- id
- d317dcd7-c6cd-4b79-a446-badc194710c4
- date added to LUP
- 2023-06-01 09:58:35
- date last changed
- 2024-01-23 04:03:41
@inproceedings{d317dcd7-c6cd-4b79-a446-badc194710c4, abstract = {{The most commonly used coupling schemes in partitioned multiphysics simulations suffer from a decrease in the order of convergence, specifically in the time domain; a phenomenon we call order degradation. This paper discusses when this issue arises and how it can be studied with a simple example. We present a simple mass-spring system of ordinary differential equations (ODEs) to analyze accuracy and energy conservation of different coupling schemes. The ability to restore higher order of convergence by using Strang splitting or waveform iterations is verified in the context of the presented example.}}, author = {{Schüller, Valentina and Rodenberg, Benjamin and Uekermann, Benjamin and Bungartz, Hans-Joachim}}, booktitle = {{WCCM-APCOM 2022 : Collection of papers presented at the WCCM-APCOM 2022, Yokohama, July 31 to August 5, 2022.}}, isbn = {{978-84-123222-8-6}}, keywords = {{equation coupling; co-simulation; waveform iterations; multiphysics; Strang splitting; order degradation}}, language = {{eng}}, publisher = {{Scipedia}}, title = {{A Simple Test Case for Convergence Order in Time and Energy Conservation of Black-Box Coupling Schemes}}, url = {{http://dx.doi.org/10.23967/wccm-apcom.2022.038}}, doi = {{10.23967/wccm-apcom.2022.038}}, year = {{2022}}, }