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Simple demonstration of different types of coupling in multiphysics numerical problems.

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Title: Simple demonstration of different types of coupling in multiphysics numerical problems.
Authors: Lavrov, Alexandre1 (AUTHOR) alexandre.lavrov@ntnu.no
Source: International Journal of Mathematical Education in Science & Technology. May2026, Vol. 57 Issue 5, p1054-1063. 10p.
Subject Terms: *Computer simulation, *Engineering education, Computational physics, Computational mechanics, Scientific computing, Heat equation, Numerical analysis
Abstract: Numerical modelling of coupled multiphysics phenomena is becoming an increasingly important subject in computational physics and computational mechanics. The main challenge in teaching this subject is the complexity of both the mathematical models and their numerical implementations. In this contribution, a toy numerical model is used to demonstrate three types of coupling commonly used in computational science: one-way coupling, explicit sequential coupling and full coupling. It makes use of a nonlinear heat equation in 1D, with the solution being a propagating heat wave. Experimental convergence analysis demonstrates that the results obtained with sequential coupling approach those obtained with full coupling as the timestep is reduced. The example developed in this contribution can be used in the courses on numerical modelling or computational science & engineering offered to engineering students. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Mathematical Education in Science & Technology is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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  Data: Simple demonstration of different types of coupling in multiphysics numerical problems.
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  Data: Numerical modelling of coupled multiphysics phenomena is becoming an increasingly important subject in computational physics and computational mechanics. The main challenge in teaching this subject is the complexity of both the mathematical models and their numerical implementations. In this contribution, a toy numerical model is used to demonstrate three types of coupling commonly used in computational science: one-way coupling, explicit sequential coupling and full coupling. It makes use of a nonlinear heat equation in 1D, with the solution being a propagating heat wave. Experimental convergence analysis demonstrates that the results obtained with sequential coupling approach those obtained with full coupling as the timestep is reduced. The example developed in this contribution can be used in the courses on numerical modelling or computational science & engineering offered to engineering students. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Mathematical Education in Science & Technology is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1080/0020739X.2025.2487652
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        Text: English
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              Text: May2026
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