Multiphysics simulation: Difference between revisions

Revision as of 15:44, 3 October 2023

Revision as of 01:41, 8 November 2023

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== 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]] methods such as the [[finite element method]], [[finite difference method]], or [[finite volume method]].<ref>{{Cite journal|last1=Bagwell|first1=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|s2cid=125715500 |doi-access=free}}</ref>

== Challenges of multiphysics simulation ==