{"id":1667,"date":"2024-12-20T17:30:04","date_gmt":"2024-12-20T09:30:04","guid":{"rendered":"https:\/\/www.mustenaka.cn\/?p=1667"},"modified":"2024-12-20T17:30:04","modified_gmt":"2024-12-20T09:30:04","slug":"euler-perspective-and-lagrange-perspective","status":"publish","type":"post","link":"https:\/\/www.mustenaka.cn\/index.php\/2024\/12\/20\/euler-perspective-and-lagrange-perspective\/","title":{"rendered":"\u6b27\u62c9\u89c6\u89d2\u548c\u62c9\u683c\u6717\u65e5\u89c6\u89d2"},"content":{"rendered":"

\u6b27\u62c9\u89c6\u89d2\u548c\u62c9\u683c\u6717\u65e5\u89c6\u89d2<\/span><\/h1>\n

\u6b27\u62c9\u89c6\u89d2\uff08Eulerian view\uff09<\/span><\/strong><\/span>\u548c<\/span>\u62c9\u683c\u6717\u65e5\u89c6\u89d2\uff08Lagrangian view\uff09<\/span><\/strong><\/span>\u662f\u6d41\u4f53\u529b\u5b66\u548c\u7269\u7406\u5b66\u4e2d\u4e24\u79cd\u4e0d\u540c\u7684\u89c2\u5bdf\u548c\u63cf\u8ff0\u7269\u7406\u8fc7\u7a0b\u7684\u65b9\u6cd5\u3002\u5b83\u4eec\u4e3b\u8981\u7528\u4e8e\u63cf\u8ff0\u7269\u4f53\uff08\u7279\u522b\u662f\u6d41\u4f53\uff09\u7684\u8fd0\u52a8\u548c\u53d8\u5316\uff0c\u4f46\u5b83\u4eec\u7684\u5173\u6ce8\u70b9\u4e0d\u540c\u3002<\/span><\/p>\n

1. \u6b27\u62c9\u89c6\u89d2\uff08Eulerian View\uff09<\/span><\/strong><\/span><\/h2>\n

\u6b27\u62c9\u89c6\u89d2\u5173\u6ce8\u7684\u662f<\/span>\u7a7a\u95f4\u4e2d\u7684\u56fa\u5b9a\u70b9<\/span><\/strong><\/span>\uff0c\u4e5f\u5c31\u662f\u6d41\u4f53\u6216\u7269\u4f53\u901a\u8fc7\u67d0\u4e2a\u56fa\u5b9a\u4f4d\u7f6e\u7684\u884c\u4e3a\u3002\u6211\u4eec\u5e76\u4e0d\u8ddf\u8e2a\u7269\u4f53\u6216\u6d41\u4f53\u4e2a\u4f53\u7684\u8fd0\u52a8\uff0c\u800c\u662f\u5173\u6ce8\u6d41\u4f53\u901a\u8fc7\u67d0\u4e2a\u7a7a\u95f4\u4f4d\u7f6e\u7684\u5c5e\u6027\uff08\u5982\u901f\u5ea6\u3001\u6e29\u5ea6\u3001\u538b\u529b\u7b49\uff09\u5982\u4f55\u968f\u65f6\u95f4\u53d8\u5316\u3002<\/span><\/p>\n

\u7279\u70b9\uff1a<\/span><\/strong><\/span><\/p>\n

    \n
  • \n

    \u89c2\u5bdf\u56fa\u5b9a\u5728\u7a7a\u95f4\u4e0a\u7684<\/span>\u67d0\u4e00\u70b9<\/span><\/strong><\/span>\uff0c\u901a\u8fc7\u8fd9\u4e9b\u70b9\u8bb0\u5f55\u6d41\u4f53\u7684\u72b6\u6001\u3002<\/span><\/p>\n<\/li>\n

  • \n

    \u4e3b\u8981\u63cf\u8ff0\u6d41\u4f53\u6216\u7269\u4f53\u7684<\/span>\u5b8f\u89c2\u884c\u4e3a<\/span><\/strong><\/span>\uff0c\u5982\u901f\u5ea6\u573a\u3001\u538b\u529b\u573a\u7b49\u3002<\/span><\/p>\n<\/li>\n

  • \n

    \u9002\u7528\u4e8e\u63cf\u8ff0\u5927\u91cf\u6d41\u4f53\u6216\u7269\u4f53\u7684\u96c6\u4f53\u884c\u4e3a\uff0c\u6bd4\u8f83\u5173\u6ce8\u533a\u57df\u5185\u7269\u8d28\u7684\u53d8\u5316\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n

    \u4e3e\u4f8b\uff1a<\/span><\/strong><\/span><\/p>\n

    \u5982\u679c\u4f60\u7ad9\u5728\u4e00\u6761\u6cb3\u6d41\u7684\u5cb8\u8fb9\uff0c\u89c2\u5bdf\u6cb3\u6c34\u7684\u6d41\u901f\u5982\u4f55\u53d8\u5316\uff0c\u4f60\u5c31\u662f\u4ece\u6b27\u62c9\u89c6\u89d2\u6765\u770b\u5f85\u95ee\u9898\u3002\u4f60\u5173\u6ce8\u7684\u662f<\/span>\u67d0\u4e2a\u7279\u5b9a\u70b9\u5904\u7684\u6d41\u901f\u53d8\u5316<\/span><\/strong><\/span>\uff0c\u800c\u4e0d\u662f\u8ddf\u8e2a\u6bcf\u4e00\u6ef4\u6c34\u7684\u8fd0\u52a8\u3002<\/span><\/p>\n

    2. \u62c9\u683c\u6717\u65e5\u89c6\u89d2\uff08Lagrangian View\uff09<\/span><\/strong><\/span><\/h2>\n

    \u62c9\u683c\u6717\u65e5\u89c6\u89d2\u5219\u5173\u6ce8<\/span>\u5355\u4e2a\u7269\u4f53\u6216\u6d41\u4f53\u5143\u7d20\u7684\u8fd0\u52a8<\/span><\/strong><\/span>\uff0c\u5373\u6211\u4eec\u8ddf\u8e2a\u6d41\u4f53\u6216\u7269\u4f53\u7684\u4e2a\u4f53\uff0c\u5173\u6ce8\u5b83\u4eec\u968f\u65f6\u95f4\u7684\u8f68\u8ff9\u548c\u6f14\u53d8\u3002\u6bcf\u4e2a\u7269\u4f53\u7684\u8fd0\u52a8\u72b6\u6001\u968f\u7740\u65f6\u95f4\u63a8\u79fb\u800c\u53d8\u5316\uff0c\u800c\u6211\u4eec\u8981\u63cf\u8ff0\u7684\u662f\u7269\u4f53\u5728\u4e0d\u540c\u65f6\u95f4\u70b9\u7684\u4f4d\u7f6e\u548c\u901f\u5ea6\u7b49\u3002<\/span><\/p>\n

    \u7279\u70b9\uff1a<\/span><\/strong><\/span><\/p>\n

      \n
    • \n

      \u89c2\u5bdf\u968f\u65f6\u95f4\u53d8\u5316\u7684<\/span>\u5355\u4e2a\u7269\u4f53\u6216\u6d41\u4f53\u7c92\u5b50<\/span><\/strong><\/span>\u7684\u8fd0\u52a8\u3002<\/span><\/p>\n<\/li>\n

    • \n

      \u9002\u7528\u4e8e\u63cf\u8ff0\u4e2a\u4f53\u7269\u4f53\u7684\u884c\u4e3a\uff0c\u7279\u522b\u662f\u5bf9\u4e8e\u5c0f\u5c3a\u5ea6\u548c\u4e2a\u522b\u7c92\u5b50\u6216\u7269\u4f53\u7684\u8fd0\u52a8\u3002<\/span><\/p>\n<\/li>\n

    • \n

      \u6bcf\u4e2a\u6d41\u4f53\u5143\u7d20\u6216\u7269\u4f53\u90fd\u6709\u81ea\u5df1\u7684\u5750\u6807\u968f\u65f6\u95f4\u53d8\u5316\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n

      \u4e3e\u4f8b\uff1a<\/span><\/strong><\/span><\/p>\n

      \u5982\u679c\u4f60\u628a\u4e00\u4e2a\u5c0f\u9897\u7c92\u653e\u5165\u6cb3\u4e2d\uff0c\u60f3\u77e5\u9053\u5b83\u5982\u4f55\u968f\u6c34\u6d41\u800c\u52a8\uff0c\u968f\u7740\u65f6\u95f4\u8ddf\u8e2a\u9897\u7c92\u7684\u8fd0\u52a8\u8f68\u8ff9\uff0c\u4f60\u5c31\u662f\u4ece\u62c9\u683c\u6717\u65e5\u89c6\u89d2\u6765\u770b\u5f85\u95ee\u9898\u3002<\/span><\/p>\n

      \u603b\u7ed3<\/span><\/h2>\n
        \n
      • \n

        \u6b27\u62c9\u89c6\u89d2<\/span><\/strong><\/span>\u4fa7\u91cd\u4e8e\u63cf\u8ff0\u7a7a\u95f4\u4e2d\u5404\u4e2a\u70b9\u7684\u53d8\u5316\uff0c\u9002\u5408\u5206\u6790<\/span>\u5927\u5c3a\u5ea6\u3001\u5b8f\u89c2<\/span><\/strong><\/span>\u73b0\u8c61\u3002<\/span><\/p>\n<\/li>\n

      • \n

        \u62c9\u683c\u6717\u65e5\u89c6\u89d2<\/span><\/strong><\/span>\u4fa7\u91cd\u4e8e\u63cf\u8ff0\u7269\u4f53\u6216\u6d41\u4f53\u7c92\u5b50\u7684\u8fd0\u52a8\u8f68\u8ff9\uff0c\u9002\u5408\u5206\u6790<\/span>\u5c0f\u5c3a\u5ea6\u3001\u5fae\u89c2<\/span><\/strong><\/span>\u73b0\u8c61\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

        \u6b27\u62c9\u89c6\u89d2\u548c\u62c9\u683c\u6717\u65e5\u89c6\u89d2 \u6b27\u62c9\u89c6\u89d2\uff08Eulerian view\uff09\u548c\u62c9\u683c\u6717\u65e5\u89c6\u89d2\uff08Lagrangian […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[136,137,116],"class_list":["post-1667","post","type-post","status-publish","format-standard","hentry","category-algorithm","tag-physic","tag-sph","tag-unity3d"],"views":1847,"_links":{"self":[{"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/posts\/1667","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/comments?post=1667"}],"version-history":[{"count":1,"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/posts\/1667\/revisions"}],"predecessor-version":[{"id":1668,"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/posts\/1667\/revisions\/1668"}],"wp:attachment":[{"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/media?parent=1667"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/categories?post=1667"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mustenaka.cn\/index.php\/wp-json\/wp\/v2\/tags?post=1667"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}