{"id":744892,"date":"2024-12-06T09:26:35","date_gmt":"2024-12-06T01:26:35","guid":{"rendered":"https:\/\/www.youtupa.com\/gonglue\/744892.html"},"modified":"2024-12-06T22:13:11","modified_gmt":"2024-12-06T14:13:11","slug":"navier-stokes%e6%96%b9%e7%a8%8b_%e6%9c%aa%e8%a7%a3%e4%b9%8b%e8%b0%9c%e6%95%b0%e5%ad%a6%e7%95%8c%e6%9c%80%e9%9a%be%e8%a7%a3%e5%86%b3%e7%9a%84%e9%97%ae%e9%a2%98%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/www.youtupa.com\/gonglue\/744892.html","title":{"rendered":"navier stokes\u65b9\u7a0b_\u672a\u89e3\u4e4b\u8c1c\u6570\u5b66\u754c\u6700\u96be\u89e3\u51b3\u7684\u95ee\u9898\uff1f"},"content":{"rendered":"
\"193a798182aae7715d3d76618900bd56.jpg\"<\/figure>\n

Navier-Stokes\u65b9\u7a0b\u662f\u63cf\u8ff0\u6d41\u4f53\u8fd0\u52a8\u7684\u57fa\u672c\u65b9\u7a0b\u4e4b\u4e00\uff0c\u5bf9\u4e8e\u7406\u89e3\u548c\u7814\u7a76\u6d41\u4f53\u529b\u5b66\u73b0\u8c61\u6709\u7740\u91cd\u8981\u7684\u4f5c\u7528\u3002\u7136\u800c\uff0cNavier-Stokes\u65b9\u7a0b\u7684\u975e\u7ebf\u6027\u548c\u5947\u5f02\u6027\u4f7f\u5f97\u5176\u6c42\u89e3\u8fc7\u7a0b\u6781\u5177\u6311\u6218\u6027\u3002<\/p>\n

\n

Navier-Stokes\u65b9\u7a0b\u7684\u5b9a\u4e49\u548c\u63cf\u8ff0<\/strong><\/p>\n

Navier-Stokes\u65b9\u7a0b\u662f\u4e00\u7ec4\u63cf\u8ff0\u6d41\u4f53\u8fd0\u52a8\u7684\u504f\u5fae\u5206\u65b9\u7a0b\uff0c\u5176\u6570\u5b66\u5b9a\u4e49\u4e3a\uff1a<\/p>\n

$$rho(frac{partial textbf{v}}{partial t}+(textbf{v}cdotnabla)textbf{v})=-nabla p+munabla^2textbf{v}+textbf{f}$$<\/p>\n

\u5176\u4e2d\uff0c$rho$\u662f\u6d41\u4f53\u5bc6\u5ea6\uff0c$textbf{v}$\u662f\u6d41\u4f53\u901f\u5ea6\u77e2\u91cf\uff0c$p$\u662f\u538b\u529b\uff0c$mu$\u662f\u7c98\u6027\u7cfb\u6570\uff0c$textbf{f}$\u662f\u5916\u529b\u77e2\u91cf\u3002<\/p>\n

\u7269\u7406\u4e0a\uff0cNavier-Stokes\u65b9\u7a0b\u63cf\u8ff0\u4e86\u6d41\u4f53\u8d28\u70b9\u7684\u8fd0\u52a8\u72b6\u6001\uff0c\u5305\u62ec\u6d41\u4f53\u7684\u901f\u5ea6\u3001\u538b\u529b\u548c\u5bc6\u5ea6\u7b49\u3002\u5b83\u5e7f\u6cdb\u5e94\u7528\u4e8e\u6d41\u4f53\u529b\u5b66\u3001\u6c14\u8c61\u5b66\u3001\u6d77\u6d0b\u5b66\u3001\u751f\u7269\u5b66\u7b49\u9886\u57df\u3002<\/p>\n

Navier-Stokes\u65b9\u7a0b\u7684\u56f0\u96be\u4e4b\u5904<\/strong><\/p>\n

Navier-Stokes\u65b9\u7a0b\u7684\u975e\u7ebf\u6027\u548c\u5947\u5f02\u6027\u4f7f\u5f97\u5176\u6c42\u89e3\u8fc7\u7a0b\u6781\u5177\u6311\u6218\u6027\u3002\u5177\u4f53\u6765\u8bf4\uff1a<\/p>\n

1. Navier-Stokes\u65b9\u7a0b\u662f\u975e\u7ebf\u6027\u7684\uff0c\u5176\u89e3\u6790\u89e3\u96be\u4ee5\u6c42\u5f97\u3002<\/p>\n

2. Navier-Stokes\u65b9\u7a0b\u4e2d\u5b58\u5728\u5947\u5f02\u6027\uff0c\u5373\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u6d41\u4f53\u901f\u5ea6\u4f1a\u65e0\u9650\u589e\u5927\uff0c\u5bfc\u81f4\u65b9\u7a0b\u65e0\u89e3\u3002<\/p>\n

3. Navier-Stokes\u65b9\u7a0b\u7684\u6570\u503c\u89e3\u6cd5\u9700\u8981\u9ad8\u7cbe\u5ea6\u7684\u8ba1\u7b97\u548c\u5927\u91cf\u7684\u5b58\u50a8\u7a7a\u95f4\u3002<\/p>\n

Navier-Stokes\u65b9\u7a0b\u7684\u7814\u7a76\u5386\u7a0b<\/strong><\/p>\n

Navier-Stokes\u65b9\u7a0b\u7684\u7814\u7a76\u5386\u7a0b\u53ef\u4ee5\u8ffd\u6eaf\u523019\u4e16\u7eaa\uff0c\u5f53\u65f6Navier\u548cStokes\u5206\u522b\u63d0\u51fa\u4e86\u63cf\u8ff0\u6d41\u4f53\u8fd0\u52a8\u7684\u65b9\u7a0b\u300220\u4e16\u7eaa\uff0c\u968f\u7740\u8ba1\u7b97\u673a\u6280\u672f\u548c\u6570\u503c\u65b9\u6cd5\u7684\u53d1\u5c55\uff0c\u4eba\u4eec\u5f00\u59cb\u5c1d\u8bd5\u7528\u6570\u503c\u65b9\u6cd5\u6c42\u89e3Navier-Stokes\u65b9\u7a0b\u3002\u5f53\u524d\uff0cNavier-Stokes\u65b9\u7a0b\u7684\u7814\u7a76\u4e3b\u8981\u96c6\u4e2d\u5728\u6570\u503c\u89e3\u6cd5\u548c\u5e94\u7528\u9886\u57df\u7684\u62d3\u5c55\u4e0a\u3002<\/p>\n

Navier-Stokes\u65b9\u7a0b\u7684\u672a\u6765\u5c55\u671b<\/strong><\/p>\n

\u76ee\u524d\uff0cNavier-Stokes\u65b9\u7a0b\u7684\u6c42\u89e3\u4ecd\u7136\u9762\u4e34\u7740\u8bb8\u591a\u6311\u6218\u548c\u56f0\u96be\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0c\u53ef\u80fd\u7684\u89e3\u51b3\u65b9\u6848\u5305\u62ec\uff1a<\/p>\n

1. \u53d1\u5c55\u65b0\u7684\u6570\u503c\u65b9\u6cd5\uff0c\u63d0\u9ad8\u6c42\u89e3\u7cbe\u5ea6\u548c\u6548\u7387\u3002<\/p>\n

2. \u63a2\u7d22\u66f4\u5e7f\u6cdb\u7684\u5e94\u7528\u9886\u57df\uff0c\u62d3\u5c55Navier-Stokes\u65b9\u7a0b\u7684\u7814\u7a76\u65b9\u5411\u3002<\/p>\n

3. \u501f\u52a9\u4eba\u5de5\u667a\u80fd\u7b49\u65b0\u6280\u672f\uff0c\u52a0\u901fNavier-Stokes\u65b9\u7a0b\u7684\u6c42\u89e3\u8fc7\u7a0b\u3002<\/p>\n

Navier-Stokes\u65b9\u7a0b\u5bf9\u79d1\u5b66\u6280\u672f\u7684\u5f71\u54cd\u5c06\u4f1a\u8d8a\u6765\u8d8a\u5927\uff0c\u5176\u7814\u7a76\u610f\u4e49\u548c\u4ef7\u503c\u4e5f\u5c06\u9010\u6b65\u51f8\u663e\u3002<\/p>\n

\u7ed3\u8bba<\/strong><\/p>\n

Navier-Stokes\u65b9\u7a0b\u662f\u63cf\u8ff0\u6d41\u4f53\u8fd0\u52a8\u7684\u57fa\u672c\u65b9\u7a0b\u4e4b\u4e00\uff0c\u5bf9\u4e8e\u7406\u89e3\u548c\u7814\u7a76\u6d41\u4f53\u529b\u5b66\u73b0\u8c61\u6709\u7740\u91cd\u8981\u7684\u4f5c\u7528\u3002\u7136\u800c\uff0cNavier-Stokes\u65b9\u7a0b\u7684\u975e\u7ebf\u6027\u548c\u5947\u5f02\u6027\u4f7f\u5f97\u5176\u6c42\u89e3\u8fc7\u7a0b\u6781\u5177\u6311\u6218\u6027\u3002\u672a\u6765\uff0c\u6211\u4eec\u9700\u8981\u4e0d\u65ad\u63a2\u7d22\u65b0\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u62d3\u5c55Navier-Stokes\u65b9\u7a0b\u7684\u5e94\u7528\u9886\u57df\uff0c\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u548c\u5e94\u7528\u8fd9\u4e2a\u65b9\u7a0b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

Navier-Stokes\u65b9\u7a0b\u662f\u63cf\u8ff0\u6d41\u4f53\u8fd0\u52a8\u7684\u57fa\u672c\u65b9\u7a0b\u4e4b\u4e00\uff0c\u5bf9\u4e8e\u7406\u89e3\u548c\u7814\u7a76\u6d41\u4f53\u529b\u5b66\u73b0\u8c61\u6709\u7740\u91cd\u8981\u7684\u4f5c\u7528\u3002\u7136\u800c\uff0cN […]<\/p>\n","protected":false},"author":1,"featured_media":744893,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-744892","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gonglue"],"_links":{"self":[{"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/posts\/744892","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/comments?post=744892"}],"version-history":[{"count":1,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/posts\/744892\/revisions"}],"predecessor-version":[{"id":747181,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/posts\/744892\/revisions\/747181"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/media\/744893"}],"wp:attachment":[{"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/media?parent=744892"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/categories?post=744892"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.youtupa.com\/wp-json\/wp\/v2\/tags?post=744892"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}