Dimensional and scaling analysis

Gjerrit Meinsma

doi:10.1137/16M1107127

Dimensional and scaling analysis

Gjerrit Meinsma^*

^*Corresponding author for this work

Research output: Contribution to journal › Review article › Academic › peer-review

7 Citations (Scopus)

170 Downloads (Pure)

Abstract

A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of examples. A vector-matrix exponentiation is introduced to simplify notation and calculus.

Original language	English
Pages (from-to)	159-184
Number of pages	26
Journal	SIAM review
Volume	61
Issue number	1
Early online date	7 Feb 2019
DOIs	https://doi.org/10.1137/16M1107127
Publication status	Published - 2019

Keywords

Dimensional analysis
Mathematical modeling
Scaling
Units
Vector-matrix exponentiation

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10.1137/16M1107127

16m1107127Final published version, 447 KB

Cite this

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title = "Dimensional and scaling analysis",

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journal = "SIAM review",

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KW - Mathematical modeling

KW - Scaling

KW - Units

KW - Vector-matrix exponentiation

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DO - 10.1137/16M1107127

M3 - Review article

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VL - 61

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EP - 184

JO - SIAM review

JF - SIAM review

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Dimensional and scaling analysis

Abstract

Keywords

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