Journal of the Meteorological Society of Japan. Ser. II
Online ISSN : 2186-9057
Print ISSN : 0026-1165
ISSN-L : 0026-1165
Volume 31, Issue 11-12
Displaying 1-11 of 11 articles from this issue
• Yoshimitsu Ogura
1953 Volume 31 Issue 11-12 Pages 355-369
Published: December 25, 1953
Released on J-STAGE: February 05, 2009
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Making use of a simple mathematical model concerning the form of motion associated with each turbulent component, the relation between the space-correlation function and the Eulerian time-correlation function is theoretically studied. While the former correlation R(r) is given by 1-R(r)_??_r2/3, the latter R(t) is given by 1-R(t)_??_tm and the value of m is a function of U/√u2, where U and √u2 are the velocity of the mean flow and the turbulent velocity, respectively. The values of m lie between 2/3 and 1. The minimum value m=2/3 occurs when U_??_√u2, and the maximum value m=1 when U_??_√u2 It is further stressed that the functional form of Lagrangian correlation is exactly the same as that of Eulerian correlation in the case of U_??_√u2, from the view point that the decay-and rebuilding-process of turbulence plays a predominant rôle in both the two correlations.
• T. Kobayashi
1953 Volume 31 Issue 11-12 Pages 370-389
Published: December 25, 1953
Released on J-STAGE: February 05, 2009
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Harmonic analyses for many terms are troublesome to perform by the ordinal scheme, and in this paper we showed that they are easily obtained by combining sets of simpler analyses.
When integers m and n are incommensurable, we represent m×n terms y0, y1, y2, ……, yp, ……, ymn-1 as follows.
where m is even.
(i) Calculate the Fourier coefficients of the j-th line of (I) using the analyses for m orders whose results are
(ii) Calculate the Fourier coefficients of the i-th column of (II) using the analyses for n orders whose result are
(iii) The Fourier coefficients of the entire series P (ν), and Q (ν) are shown by, and where
As examples we showed schematically the analyses for 36 (4×9), 60 (4×15), 72 (8×9), 120 (8×15) and 180 (5×36) orders, the results of which were given by the tables (IV. 36), (IV. 60), (IV. 72), (IV. 120), and (IV. 180) in the text. In each case mentioned above m is even, but in the case when both m and n are odd the similar scheme can be used.
• H. Arakawa
1953 Volume 31 Issue 11-12 Pages 390-395
Published: December 25, 1953
Released on J-STAGE: February 05, 2009
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• G. Yamamoto
1953 Volume 31 Issue 11-12 Pages 396-401
Published: December 25, 1953
Released on J-STAGE: February 05, 2009
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• 1953 Volume 31 Issue 11-12 Pages e1a
Published: 1953
Released on J-STAGE: February 05, 2009
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• 1953 Volume 31 Issue 11-12 Pages e1b
Published: 1953
Released on J-STAGE: February 05, 2009
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• 1953 Volume 31 Issue 11-12 Pages e1c
Published: 1953
Released on J-STAGE: February 05, 2009
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• 1953 Volume 31 Issue 11-12 Pages e1d
Published: 1953
Released on J-STAGE: February 05, 2009
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• 1953 Volume 31 Issue 11-12 Pages e1e-e2
Published: 1953
Released on J-STAGE: February 05, 2009
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