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A Simple Test Case for Convergence Order in Time and Energy Conservation of Black-Box Coupling Schemes

Schüller, Valentina LU orcid ; Rodenberg, Benjamin ; Uekermann, Benjamin and Bungartz, Hans-Joachim (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:
author
; ; and
publishing date
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}},
}