Inspectional analysis: Difference between revisions

From Glossary of Meteorology
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|Meaning=The [[reduction]] of the mathematical equations of a problem to nondimensional  units of space, time, and mass; or testing such equations for invariance under any group of  transformations.
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|Explanation=The procedure stands in close relation to [[dimensional analysis]] and usually gives rise to a set  of [[nondimensional numbers]] appearing as coefficients in the governing equations. These can  always be arranged to be the same as the nondimensional numbers of [[parameters]] of a corresponding  [[dimensional analysis]].
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== inspectional analysis ==
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<div class="definition"><div class="short_definition">The [[reduction]] of the mathematical equations of a problem to nondimensional  units of space, time, and mass; or testing such equations for invariance under any group of  transformations.</div><br/> <div class="paragraph">The procedure stands in close relation to [[dimensional analysis]] and usually gives rise to a set  of [[nondimensional numbers]] appearing as coefficients in the governing equations. These can  always be arranged to be the same as the nondimensional numbers of [[parameters]] of a corresponding  [[dimensional analysis]].</div><br/> </div>
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Latest revision as of 10:04, 30 March 2024

The reduction of the mathematical equations of a problem to nondimensional units of space, time, and mass; or testing such equations for invariance under any group of transformations.

The procedure stands in close relation to dimensional analysis and usually gives rise to a set of nondimensional numbers appearing as coefficients in the governing equations. These can always be arranged to be the same as the nondimensional numbers of parameters of a corresponding dimensional analysis.

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