_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/
\n_\/
\n_\/ \u6d41\u4f53\u529b\u5b66\u30bb\u30df\u30ca\u30fc \uff12\uff10\uff10\uff15 No. \uff13
\n_\/
\n_\/ \u65e5 \u6642 : \uff10\uff15\u5e74 \uff15\u6708 \uff13\uff10\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 : Aiguo Xu \u6c0f\uff08\u4eac\u5927\u5927\u5b66\u9662 \u4eba\u9593\u30fb\u74b0\u5883\u5b66\u7814\u7a76\u79d1\uff09
\n_\/
\n_\/ \u984c \u76ee : Finite-difference lattice Boltzmann methods for binary fluids
\n_\/
\n_\/ \u5185 \u5bb9 :
\n_\/ Lattice Boltzmann Method (LBM) has become a viable and promising numerical
\n_\/ scheme for simulating fluid flows. There are several options to discretize
\n_\/ the Boltzmann equation: (i) Standard LBM (SLBM); (ii) Finite-Difference LBM
\n_\/ (FDLBM); (iii) Finite-Volume LBM; (iv) Finite-Element LBM; etc. These kinds
\n_\/ of schemes are expected to be complementary in the LBM studies. For
\n_\/ multicomponent fluids, (i) most existing methods belong to the SLBM, and\/or
\n_\/ based on the single-fluid theory; (ii)nearly all the studies are focused on
\n_\/ isothermal and nearly incompressible systems. In our study, a two-fluid
\n_\/ kinetic model, first proposed by L. Sirovich, is clarified and
\n_\/ extended. Based on this kinetic model, FDLBMs for binary Euler
\n_\/ equations and Navier-Stokes equations are formulated.
\n_\/ We consider a binary mixture with two components, $A$ and $B$. The based
\n_\/ discrete velocity model (DVM) is described by two indexes, $k$ and $i$,
\n_\/ where $k$ denotes the $k$th group of discrete velocities with the same size
\n_\/ $v_k$, $i$ indicates the direction of the discrete velocity. The basic
\n_\/ ideas in the formulation procedure of the FDLBMs are as follows:
\n_\/ (i) The Chapman-Enskog analysis shows what properties the discrete
\n_\/ Maxwellian distribution function $f_{ki}^{A\u00a5left( 0\u00a5right)}$ should follow;
\n_\/ (ii) Those requirements tell the lowest order of the flow velocity
\n_\/ ${\u00a5bf u}^A$ in the Taylor expansion of $f_{ki}^{A\u00a5left( 0\u00a5right) }$;
\n_\/ (iii) The highest rank of tensors of the particle velocity ${\u00a5bf v}^A$ in
\n_\/ the requirements on the truncated $f_{ki}^{A\u00a5left( 0\u00a5right) }$ determines
\n_\/ the needed isotropy of the DVM. The present approach works for binary
\n_\/ neutral fluid mixtures. One possibility to introduce interfacial tension is
\n_\/ to modify the pressure tensors, which is implemented by changing the force
\n_\/ terms. For binary fluids with disparate-mass components, say $m^A\u00a5ll m^B$,
\n_\/ only if the total masses and temperatures of the two species are not
\n_\/ significantly different, Sirovich’s kinetic theory works, so do the
\n_\/ corresponding FDLBMs. When the masses and\/or the temperatures of the two
\n_\/ components are greatly different, the two-fluid kinetic theory should be
\n_\/ modified. In those cases, the Navier-Stokes equations and the FDLBMs are
\n_\/ not symmetric about the two components, but the formulation procedure is
\n_\/ straightforward.
\n_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/_\/
\n\u4e16\u8a71\u4eba\uff1a\u5927\u6728\u8c37 \u8015\u53f8(\u4eac\u5927\u6570\u7814)\u3001\u85e4 \u5b9a\u7fa9(\u4eac\u5927\u7406)\u3001\u677e\u672c \u525b(\u4eac\u5927\u7406)\u3001
\n\u5c71\u7530 \u9053\u592b(\u4eac\u5927\u6570\u7814)
\n\u30a2\u30c9\u30d0\u30a4\u30b6\u30fc\uff1a\u6cb3\u539f \u6e90\u592a(\u4eac\u5927\u5de5)\u3001\u5c0f\u68ee \u609f\uff08\u4eac\u5927\u5de5\uff09\u3001\u85e4\u5742\u535a\u4e00\uff08\u4eac\u5927\u60c5\u5831\u5b66\uff09\u3001
\n\u8239\u8d8a \u6e80\u660e\uff08\u4eac\u5927\u60c5\u5831\u5b66\uff09\u3001\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\uff15 No. \uff13 _\/ _\/ […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,27],"tags":[],"class_list":["post-357","post","type-post","status-publish","format-standard","hentry","category-16","category-27"],"_links":{"self":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/357","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=357"}],"version-history":[{"count":0,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/357\/revisions"}],"wp:attachment":[{"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=357"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=357"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/kyoryu.scphys.kyoto-u.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=357"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}