Multiphysics simulation: Difference between revisions

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In [[computational model|computational modelling]], '''multiphysics simulation''' (often shortened to simply "multiphysics") is defined as the simultaneous simulation of different aspects of a physical system or systems.<ref name=":0">{{Cite book|url=https://www.springer.com/us/book/9783319930275|title=Multiphysics in Porous Materials {{!}} Zhen (Leo) Liu {{!}} Springer|language=en}}</ref> For example, simultaneous simulation of the physical stress on an object and the temperature distribution of the object would be considered a multiphysics simulation.<ref>{{Cite news|url=https://eandt.theiet.org/content/articles/2015/03/multiphysics-brings-the-real-world-into-simulations/|title=Multiphysics brings the real world into simulations|date=2015-03-16|access-date=2018-08-19|language=en-US}}</ref> Multiphysics simulation is related to multiscale simulation, which is the simultaneous simulation of a single process on either multiple time or distance scales.<ref name=":2">{{cite arxiv|last=Groen|first=Derek|last2=Zasada|first2=Stefan J.|last3=Coveney|first3=Peter V.|date=2012-08-31|title=Survey of Multiscale and Multiphysics Applications and Communities|eprint=1208.6444|class=cs.OH}}</ref>
In [[computational model|computational modelling]], '''multiphysics simulation''' (often shortened to simply "multiphysics") is defined as the simultaneous simulation of different aspects of a physical system or systems.<ref name=":0">{{Cite book|last=Liu|first=Zhen|url=https://www.worldcat.org/oclc/1044733613|title=Multiphysics in Porous Materials|date=2018|publisher=Springer|isbn=978-3-319-93028-2|location=Cham, Switzerland|oclc=1044733613}}</ref> For example, simultaneous simulation of the physical stress on an object and the temperature distribution of the object would be considered a multiphysics simulation.<ref>{{Cite news|url=https://eandt.theiet.org/content/articles/2015/03/multiphysics-brings-the-real-world-into-simulations/|title=Multiphysics brings the real world into simulations|date=2015-03-16|access-date=2018-08-19|language=en-US}}</ref> Multiphysics simulation is related to multiscale simulation, which is the simultaneous simulation of a single process on either multiple time or distance scales.<ref>{{Cite journal|last=Groen|first=Derek|last2=Zasada|first2=Stefan J.|last3=Coveney|first3=Peter V.|date=March 2014|title=Survey of Multiscale and Multiphysics Applications and Communities|url=https://doi.org/10.1109/MCSE.2013.47|journal=Computing in Science & Engineering|volume=16|issue=2|pages=34–43|arxiv=1208.6444|doi=10.1109/mcse.2013.47|issn=1521-9615}}</ref>


As an [[Interdisciplinarity|interdisciplinary]] field, multiphysics simulation can span many science and engineering disciplines. Simulation methods frequently include [[numerical analysis]], [[partial differential equations]] and [[tensor analysis]]. <ref>{{Cite web|url=https://www.multiphysics.us|title=Multiphysics Learning & Networking - Home Page|website=www.multiphysics.us|access-date=2018-08-19}}</ref>
As an [[Interdisciplinarity|interdisciplinary]] field, multiphysics simulation can span many science and engineering disciplines. Simulation methods frequently include [[numerical analysis]], [[partial differential equations]] and [[tensor analysis]].<ref>{{Cite web|url=https://www.multiphysics.us|title=Multiphysics Learning & Networking - Home Page|website=www.multiphysics.us|access-date=2018-08-19}}</ref>
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<ref name=":1">{{Citation|last=Krzhizhanovskaya|first=Valeria V.|title=Simulation of Multiphysics Multiscale Systems: Introduction to the ICCS'2007 Workshop|date=2007|work=Computational Science – ICCS 2007|pages=755–761|publisher=Springer Berlin Heidelberg|language=en|doi=10.1007/978-3-540-72584-8_100|isbn=9783540725831|last2=Sun|first2=Shuyu|doi-access=free}}</ref><ref name=":2">{{cite arxiv|last=Groen|first=Derek|last2=Zasada|first2=Stefan J.|last3=Coveney|first3=Peter V.|date=2012-08-31|title=Survey of Multiscale and Multiphysics Applications and Communities|eprint=1208.6444|class=cs.OH}}</ref> <ref>{{Cite web|url=https://nafems.org/downloads/FENet.../St...2005/fenet_malta_may2005_mpa.pdf|title=NAFEMS downloads engineering analysis and simulation - FEA, Finite Element Analysis, CFD, Computational Fluid Dynamics, and Simulation|last=www.duodesign.co.uk|website=nafems.org|access-date=2018-08-19|archive-url=https://web.archive.org/web/20180819214305/https://www.nafems.org/downloads/FENet.../St...2005/fenet_malta_may2005_mpa.pdf|archive-date=2018-08-19|url-status=dead}}</ref>
<ref name=":1">{{Citation|last=Krzhizhanovskaya|first=Valeria V.|title=Simulation of Multiphysics Multiscale Systems: Introduction to the ICCS'2007 Workshop|date=2007|work=Computational Science – ICCS 2007|pages=755–761|publisher=Springer Berlin Heidelberg|language=en|doi=10.1007/978-3-540-72584-8_100|isbn=9783540725831|last2=Sun|first2=Shuyu|doi-access=free}}</ref><ref name=":2">{{cite arxiv|last=Groen|first=Derek|last2=Zasada|first2=Stefan J.|last3=Coveney|first3=Peter V.|date=2012-08-31|title=Survey of Multiscale and Multiphysics Applications and Communities|eprint=1208.6444|class=cs.OH}}</ref> <ref>{{Cite web|url=https://nafems.org/downloads/FENet.../St...2005/fenet_malta_may2005_mpa.pdf|title=NAFEMS downloads engineering analysis and simulation - FEA, Finite Element Analysis, CFD, Computational Fluid Dynamics, and Simulation|last=www.duodesign.co.uk|website=nafems.org|access-date=2018-08-19|archive-url=https://web.archive.org/web/20180819214305/https://www.nafems.org/downloads/FENet.../St...2005/fenet_malta_may2005_mpa.pdf|archive-date=2018-08-19|url-status=dead}}</ref>
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== Mathematical models ==
== Mathematical models ==
{{see also|Mathematical models}}
{{see also|Mathematical models}}
Mathematical models used in multiphysics simulations are generally a set of coupled equations. The equations can be divided into three categories according to the nature and intended role: [[governing equations|governing equation]], [[characteristic equation (calculus)|auxiliary equations]] and [[boundary value problem|boundary/initial conditions]]. A governing equation describes a major physical mechanisms or process. Multiphysics simulations are numerically implemented with [[Discretization|discretization]] methods such as the [[finite element method]], [[finite difference method]], or [[finite volume method]]. <ref>S. Bagwell, P.D. Ledger, A.J. Gil, M. Mallett, M. Kruip, A linearised hp–finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners, DOI: 10.1002/nme.5559</ref>
Mathematical models used in multiphysics simulations are generally a set of coupled equations. The equations can be divided into three categories according to the nature and intended role: [[governing equations|governing equation]], [[characteristic equation (calculus)|auxiliary equations]] and [[boundary value problem|boundary/initial conditions]]. A governing equation describes a major physical mechanisms or process. Multiphysics simulations are numerically implemented with [[Discretization|discretization]] methods such as the [[finite element method]], [[finite difference method]], or [[finite volume method]].<ref>{{Cite journal|last=Bagwell|first=Scott|last2=Ledger|first2=Paul D|last3=Gil|first3=Antonio J|last4=Mallett|first4=Mike|last5=Kruip|first5=Marcel|date=2017-12-07|title=A linearised ''hp''-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners|url=https://onlinelibrary.wiley.com/doi/10.1002/nme.5559|journal=International Journal for Numerical Methods in Engineering|language=en|volume=112|issue=10|pages=1323–1352|doi=10.1002/nme.5559}}</ref>


==See also==
==See also==

Revision as of 04:43, 29 December 2021

In computational modelling, multiphysics simulation (often shortened to simply "multiphysics") is defined as the simultaneous simulation of different aspects of a physical system or systems.[1] For example, simultaneous simulation of the physical stress on an object and the temperature distribution of the object would be considered a multiphysics simulation.[2] Multiphysics simulation is related to multiscale simulation, which is the simultaneous simulation of a single process on either multiple time or distance scales.[3]

As an interdisciplinary field, multiphysics simulation can span many science and engineering disciplines. Simulation methods frequently include numerical analysis, partial differential equations and tensor analysis.[4]

Multiphysics simulation process

The implementation of a multiphysics simulation follows a typical series of steps:[1]

  • Identify the aspects of the system to be simulated, including physical processes, starting conditions, and boundary conditions.
  • Create a discrete mathematical model of the system.
  • Numercally solve the model.
  • Process the resulting data.

Mathematical models

Mathematical models used in multiphysics simulations are generally a set of coupled equations. The equations can be divided into three categories according to the nature and intended role: governing equation, auxiliary equations and boundary/initial conditions. A governing equation describes a major physical mechanisms or process. Multiphysics simulations are numerically implemented with discretization methods such as the finite element method, finite difference method, or finite volume method.[5]

See also

References

  1. ^ a b Liu, Zhen (2018). Multiphysics in Porous Materials. Cham, Switzerland: Springer. ISBN 978-3-319-93028-2. OCLC 1044733613.
  2. ^ "Multiphysics brings the real world into simulations". 2015-03-16. Retrieved 2018-08-19.
  3. ^ Groen, Derek; Zasada, Stefan J.; Coveney, Peter V. (March 2014). "Survey of Multiscale and Multiphysics Applications and Communities". Computing in Science & Engineering. 16 (2): 34–43. arXiv:1208.6444. doi:10.1109/mcse.2013.47. ISSN 1521-9615.
  4. ^ "Multiphysics Learning & Networking - Home Page". www.multiphysics.us. Retrieved 2018-08-19.
  5. ^ Bagwell, Scott; Ledger, Paul D; Gil, Antonio J; Mallett, Mike; Kruip, Marcel (2017-12-07). "A linearised hp-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners". International Journal for Numerical Methods in Engineering. 112 (10): 1323–1352. doi:10.1002/nme.5559.
  • Susan L. Graham, Marc Snir, and Cynthia A. Patterson (Editors), Getting Up to Speed: The Future of Supercomputing, Appendix D. The National Academies Press, Washington DC, 2004. ISBN 0-309-09502-6.
  • Paul Lethbridge, Multiphysics Analysis, p26, The Industrial Physicist, Dec 2004/Jan 2005, [1], Archived at: [2]