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Non dimensionalisation of systems #1257

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yewalenikhil65 opened this issue Sep 10, 2021 · 3 comments
Open

Non dimensionalisation of systems #1257

yewalenikhil65 opened this issue Sep 10, 2021 · 3 comments

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@yewalenikhil65
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yewalenikhil65 commented Sep 10, 2021

This would be a very good feature to have in future with MTK
https://reference.wolfram.com/language/ref/NondimensionalizationTransform.html

Unitful has recipes for Buckingham pi groups, which may prove useful
https://github.com/rmsrosa/UnitfulBuckinghamPi.jl

@lamorton
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Wow, that's pretty interesting. I'm working on expanding the capability of the unit-handling (#1252 / #1250). This would be a great follow-on project.

@yewalenikhil65
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@lamorton Came across another resource for non-dimensionalisation algorithm for ODEs(i am not currently competent to implement it though ).
Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries

@pogudingleb
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@lamorton Came across another resource for non-dimensionalisation algorithm for ODEs(i am not currently competent to implement it though ). Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries

I believe that a more complete version (as mentioned on ResearchGate) is https://hal.inria.fr/hal-00668882v2/document
One of the authors gave an invited talk on the algorithm recently at the Maple conference, one can register (for free) and watch the recording.

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