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Words near each other
・ Similaria
・ Similarities (album)
・ Similarities between Wiener and LMS
・ Similarity
・ Similarity (geometry)
・ Similarity (network science)
・ Similarity (psychology)
・ Similarity heuristic
・ Similarity invariance
・ Similarity learning
・ Similarity matrix
・ Similarity measure
・ Similarity relation (music)
・ Similarity score
・ Similarity search
Similarity solution
・ Similarity transformation
・ SimilarWeb
・ Similaun
・ SIMILE
・ Simile
・ Simile (computer virus)
・ Simile (disambiguation)
・ Simile, Mpumalanga
・ Similes (album)
・ Simili (album)
・ Similicaudipteryx
・ Similien of Nantes
・ Similifaveoloolithus
・ Similiparma


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Similarity solution : ウィキペディア英語版
Similarity solution
In study of partial differential equations, particularly fluid dynamics, a similarity solution is a form of solution in which at least one co-ordinate lacks a distinguished origin; more physically, it describes a flow which 'looks the same' either at all times, or at all length scales. These include, for example, the Blasius boundary layer or the Sedov-Taylor shell.〔Pringle and King, 2007, ''(Astrophysical Flows )'', p54〕
==Concept==

A powerful tool in physics is the concept of dimensional analysis and scaling laws; by looking at the physical effects present in a system we may estimate their size and hence which, for example, might be neglected. If we have catalogued these effects we will occasionally find that the system has not fixed a natural lengthscale (timescale), but that the solution depends on space (time). It is then necessary to construct a lengthscale (timescale) using space (time) and the other dimensional quantities present - such as the viscosity \nu. These constructs are not 'guessed' but are derived immediately from the scaling of the governing equations.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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