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

8 Citations (Scopus)

288 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",

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.",

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author = "Gjerrit Meinsma",

year = "2019",

doi = "10.1137/16M1107127",

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volume = "61",

pages = "159--184",

journal = "SIAM review",

issn = "0036-1445",

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T1 - Dimensional and scaling analysis

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PY - 2019

Y1 - 2019

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AB - 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.

KW - Dimensional analysis

KW - Mathematical modeling

KW - Scaling

KW - Units

KW - Vector-matrix exponentiation

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U2 - 10.1137/16M1107127

DO - 10.1137/16M1107127

M3 - Review article

AN - SCOPUS:85063814917

SN - 0036-1445

VL - 61

SP - 159

EP - 184

JO - SIAM review

JF - SIAM review

IS - 1

ER -

Dimensional and scaling analysis

Abstract

Keywords

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