_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/
\n_\/
\n_\/ \u6d41\u4f53\u529b\u5b66\u30bb\u30df\u30ca\u30fc \uff12\uff10\uff10\uff16 No. \uff18
\n_\/
\n_\/ \u65e5 \u6642 : \uff10\uff16\u5e74 \uff19\u6708 \uff14 \u65e5 (\u6708) \uff11\uff15\uff1a\uff10\uff10\u301c\uff11\uff16\uff1a\uff13\uff10
\n_\/
\n_\/ \u5834 \u6240 : \u4eac\u5927\u6570\u7406\u7814 \uff10\uff10\uff19\u53f7\u5ba4
\n_\/
\n_\/ \u8b1b \u5e2b\uff1a Susan Kurien
\n_\/ Los Alamos National Laboratory
\n_\/ (Mathematical Modeling and Analysis group (T-7))
\n_\/
\n_\/ \u984c \u76ee\uff1a Potential enstrophy cascades in rotating and stratified flows
\n_\/
\n_\/ \u5185 \u5bb9 :
\n_\/ The predicted $k^(-3)$ scaling of the 2D turbulence energy spectrum is
\n_\/ governed by a direct enstrophy cascade (Kraichnan (1967)). This range
\n_\/ is obtained in the limit as Reynold’s number goes to infinity in
\n_\/ non-rotating, non-stratified flows. With the introduction of strong
\n_\/ constant rate of rotation and stable, and strong stable
\n_\/ stratification, in what is known as the quasi-geostrophic limit,
\n_\/ Charney (1971) showed that an analogous behavior emerges for the total
\n_\/ (kinetic plus potential) energy of the flow. He predicted a direct
\n_\/ cascade of the so-called potential enstrophy with a corresponding
\n_\/ scaling of $k^{-3}$ for the total energy spectrum.
\n_\/
\n_\/ Motivated by the Charney 1971 result for QG flows, we look at the
\n_\/ dynamics of rotating and stratified flows with the aim of recovering,
\n_\/ where possible, inertial range behavior in a wider range of parameter
\n_\/ regimes of the flow. The main difference from the classical Kolmogorov
\n_\/ approach is that we here look at potential enstrophy dynamics instead
\n_\/ of energy dynamics. In contrast to Charney, we look at statistics in
\n_\/ physical space instead of spectral. We discuss six different limits in
\n_\/ the stratification (Froude number) and rotation (Rossby number) and
\n_\/ show that at least three of these can give rise to possible “inertial
\n_\/ ranges” for potential enstrophy. As a result, we offer new
\n_\/ parameterizations of rotating and stratified flows. We discuss how
\n_\/ some of these may have strong constraints on the energy spectrum
\n_\/ similar to the QG\/2D cases.
\n_\/
\n_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/<\/p>\n
\u4e16\u8a71\u4eba\uff1a\u677e\u672c \u525b(\u4eac\u5927\u7406)\u3001\u5c71\u7530 \u9053\u592b(\u4eac\u5927\u6570\u7814)\u3001\u85e4 \u5b9a\u7fa9(\u4eac\u5927\u7406)\u3001
\n\u30a2\u30c9\u30d0\u30a4\u30b6\u30fc\uff1a\u85e4\u5742\u535a\u4e00\uff08\u4eac\u5927\u60c5\u5831\u5b66\uff09\u3001\u8239\u8d8a \u6e80\u660e\uff08\u4eac\u5927\u60c5\u5831\u5b66\uff09\u3001
\n\u6c34\u5cf6 \u4e8c\u90ce(\u540c\u5fd7\u793e\u5927\u5de5)\u3001\u4f59\u7530 \u6210\u7537\uff08\u4eac\u5927\u7406\uff09
\n\u9023\u7d61\u5148\uff1aohkitani@kurims.kyoto-u.ac.jp
\n\u30e1\u30fc\u30eb\u30ea\u30b9\u30c8\u9023\u7d61\u5148\uff1a semi-adm@kyoryu.scphys.kyoto-u.ac.jp
\n\u623b\u308b [http:\/\/www.kyoryu.scphys.kyoto-u.ac.jp\/semi\/semi2.html]<\/p>\n","protected":false},"excerpt":{"rendered":"
_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/ _\/ _\/ \u6d41\u4f53\u529b\u5b66\u30bb\u30df\u30ca\u30fc \uff12\uff10\uff10\uff16 No. \uff18 _\/ _\/ […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,26],"tags":[],"class_list":["post-425","post","type-post","status-publish","format-standard","hentry","category-16","category-26"],"_links":{"self":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/425","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=425"}],"version-history":[{"count":0,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/425\/revisions"}],"wp:attachment":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=425"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=425"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=425"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}