noticeably witlic~itt seriously hi~rn~i~ip the lratisfer function. I t is expected
that ij computer treatment or this problem could easil) embrace a large
number of such adjustable constiints. Estimates suggest that thc improvenient in the higher order contribution to the energy spectrum will he proportional tn the number of terms in the expiinsion. It seems c h i r from this
simple exaniple that we may hope that the transfer function nced not Ix:
seriously affccted by the renormalization process.
If the rcnormalization procedure does in fact yield significantly improved
results in n full scale computation. it will next be applied to the real fluid
mechanics problem and to diffusion problems. Thcrc is more flexibility in
the choice of the functions for such problems and it might be anticipated
that the renormalization procedure will be even more effective in their
treat men t.
Ihlncr. S. I: (196')). f ti^. I./rtit/\ 12. 33.
llurgcr.;. I . M. (IYSO). /'rot,.. Korr. , V t d . l L r t / . ll'crc,n.w/t. 53. 247 2M0.
C':imeroti, K . I{.. :ind Martin. W. 'I. (1957). AJIII. Altrrlr. 4 . 3x5 392.
(*iitiavan. (i. H.. iind k i t h . C , 1,. (l96X). 1'111~.\. Flitit/.\ 11. 2759 2761.
(*lc\cr, W . C'.. and Mccchiirn. W. C'. (1972). /'/ti..\. t'luitls IS. 244 255.
Itiamura. T., Mcecham, W . ('.. and Scigcl. A. (1065). J. :Mtii/i. /'/II,.Y. ( K . Y . ) 6. 095 706.
b1cccli:irn. W. C'. (1969). .I. .Siuti\f. /'/II.\. I. 25 40.
hlcccham. W. C,. iind Jcng. I). T. (IY6X). J. / / i t i d M d i . 32. 225 249.
Mccchiim. W. (*., and Sicgel. A. (IYh4). Pltys. Flitids 7. 117X- I IW.
Orsmg. S. A,. ;ind Hissoiicitc. L. R. (1967). PlrI.s. Fluids 10. 2603 2613.
SaITiiian. P. (J. (lY69). Phi'.\. Flitit/\ 12. 17x6.
Wiener. M . (19%). " Nonlicicar Prohlems iri Random Theory." MIT I'rcsa. Camhridgc.
Mas.uchusctts.
that ij computer treatment or this problem could easil) embrace a large
number of such adjustable constiints. Estimates suggest that thc improvenient in the higher order contribution to the energy spectrum will he proportional tn the number of terms in the expiinsion. It seems c h i r from this
simple exaniple that we may hope that the transfer function nced not Ix:
seriously affccted by the renormalization process.
If the rcnormalization procedure does in fact yield significantly improved
results in n full scale computation. it will next be applied to the real fluid
mechanics problem and to diffusion problems. Thcrc is more flexibility in
the choice of the functions for such problems and it might be anticipated
that the renormalization procedure will be even more effective in their
treat men t.
Ihlncr. S. I: (196')). f ti^. I./rtit/\ 12. 33.
llurgcr.;. I . M. (IYSO). /'rot,.. Korr. , V t d . l L r t / . ll'crc,n.w/t. 53. 247 2M0.
C':imeroti, K . I{.. :ind Martin. W. 'I. (1957). AJIII. Altrrlr. 4 . 3x5 392.
(*iitiavan. (i. H.. iind k i t h . C , 1,. (l96X). 1'111~.\. Flitit/.\ 11. 2759 2761.
(*lc\cr, W . C'.. and Mccchiirn. W. C'. (1972). /'/ti..\. t'luitls IS. 244 255.
Itiamura. T., Mcecham, W . ('.. and Scigcl. A. (1065). J. :Mtii/i. /'/II,.Y. ( K . Y . ) 6. 095 706.
b1cccli:irn. W. C'. (1969). .I. .Siuti\f. /'/II.\. I. 25 40.
hlcccham. W. C,. iind Jcng. I). T. (IY6X). J. / / i t i d M d i . 32. 225 249.
Mccchiim. W. (*., and Sicgel. A. (IYh4). Pltys. Flitids 7. 117X- I IW.
Orsmg. S. A,. ;ind Hissoiicitc. L. R. (1967). PlrI.s. Fluids 10. 2603 2613.
SaITiiian. P. (J. (lY69). Phi'.\. Flitit/\ 12. 17x6.
Wiener. M . (19%). " Nonlicicar Prohlems iri Random Theory." MIT I'rcsa. Camhridgc.
Mas.uchusctts.