{"id":1237,"date":"2026-05-28T15:10:43","date_gmt":"2026-05-28T07:10:43","guid":{"rendered":"https:\/\/guagefangzhen.cn\/?p=1237"},"modified":"2026-05-28T15:10:43","modified_gmt":"2026-05-28T07:10:43","slug":"%e6%97%8b%e8%bd%ac%e6%9c%ba%e6%a2%b0%e7%9a%84%e5%87%a0%e7%a7%8d%e6%b5%81%e4%bd%93%e4%bb%bf%e7%9c%9f%e6%96%b9%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/guagefangzhen.cn\/?p=1237","title":{"rendered":"\u65cb\u8f6c\u673a\u68b0\u7684\u51e0\u79cd\u6d41\u4f53\u4eff\u771f\u65b9\u5f0f"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u5f15\u8a00\uff1a\u5f53&#8221;\u8f6c\u8d77\u6765&#8221;\u9047\u4e0a\u4eff\u771f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u79bb\u5fc3\u6cf5\u53f6\u8f6e\u7684\u9ad8\u901f\u65cb\u8f6c\u3001\u6da1\u8f6e\u53d1\u52a8\u673a\u538b\u6c14\u673a\u7ea7\u95f4\u7684\u590d\u6742\u6d41\u52a8\u3001\u98ce\u529b\u53d1\u7535\u673a\u53f6\u7247\u5207\u5272\u6c14\u6d41\u2026\u2026\u65cb\u8f6c\u673a\u68b0\u51e0\u4e4e\u65e0\u5904\u4e0d\u5728\uff0c\u652f\u6491\u7740\u73b0\u4ee3\u5de5\u4e1a\u7684\u6bcf\u4e00\u4e2a\u89d2\u843d\u3002\u7136\u800c\uff0c\u5f53\u5de5\u7a0b\u5e08\u4eec\u8bd5\u56fe\u7528\u6570\u503c\u4eff\u771f\u53bb&#8221;\u770b\u89c1&#8221;\u8fd9\u4e9b\u65cb\u8f6c\u90e8\u4ef6\u5185\u90e8\u7684\u6d41\u52a8\u65f6\uff0c\u5374\u9762\u4e34\u4e00\u4e2a\u6839\u672c\u6027\u96be\u9898\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4f20\u7edf CFD \u65b9\u6cd5\u5047\u8bbe\u8ba1\u7b97\u57df\u9759\u6b62\uff0c\u800c\u65cb\u8f6c\u673a\u68b0\u7684\u6838\u5fc3\u5c31\u662f&#8221;\u52a8&#8221;\u3002<\/strong><\/p>\n\n\n\n<p 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\u65b9\u7a0b\u4e2d\u5f15\u5165\u79d1\u91cc\u5965\u5229\u529b\u548c\u79bb\u5fc3\u529b\u7b49\u9644\u52a0\u4f53\u79ef\u529b\u9879<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mrow><mi mathvariant=\"normal\">\u2202<\/mi><msup><mi mathvariant=\"bold\">u<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><\/mrow><mrow><mi mathvariant=\"normal\">\u2202<\/mi><mi>t<\/mi><\/mrow><\/mfrac><mo>+<\/mo><mo stretchy=\"false\">(<\/mo><msup><mi mathvariant=\"bold\">u<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>\u22c5<\/mo><mi mathvariant=\"normal\">\u2207<\/mi><mo stretchy=\"false\">)<\/mo><msup><mi mathvariant=\"bold\">u<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>=<\/mo><mo>\u2212<\/mo><mfrac><mn>1<\/mn><mi>\u03c1<\/mi><\/mfrac><mi mathvariant=\"normal\">\u2207<\/mi><mi>p<\/mi><mo>+<\/mo><mi>\u03bd<\/mi><msup><mi mathvariant=\"normal\">\u2207<\/mi><mn>2<\/mn><\/msup><msup><mi mathvariant=\"bold\">u<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><mo>\u2212<\/mo><munder><munder><mrow><mn>2<\/mn><mi mathvariant=\"bold-italic\">\u03c9<\/mi><mo>\u00d7<\/mo><msup><mi mathvariant=\"bold\">u<\/mi><mo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">\u2032<\/mo><\/msup><\/mrow><mo stretchy=\"true\">\u23df<\/mo><\/munder><mtext>\u79d1\u6c0f\u529b<\/mtext><\/munder><mo>\u2212<\/mo><munder><munder><mrow><mi mathvariant=\"bold-italic\">\u03c9<\/mi><mo>\u00d7<\/mo><mo stretchy=\"false\">(<\/mo><mi mathvariant=\"bold-italic\">\u03c9<\/mi><mo>\u00d7<\/mo><mi mathvariant=\"bold\">r<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><mo stretchy=\"true\">\u23df<\/mo><\/munder><mtext>\u79bb\u5fc3\u529b<\/mtext><\/munder><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{\\partial \\mathbf{u}&#8217;}{\\partial t} + (\\mathbf{u}&#8217; \\cdot \\nabla)\\mathbf{u}&#8217; = -\\frac{1}{\\rho}\\nabla p + \\nu \\nabla^2 \\mathbf{u}&#8217; &#8211; \\underbrace{2\\boldsymbol{\\omega} \\times \\mathbf{u}&#8217;}_{\\text{\u79d1\u6c0f\u529b}} &#8211; \\underbrace{\\boldsymbol{\\omega} \\times (\\boldsymbol{\\omega} \\times \\mathbf{r})}_{\\text{\u79bb\u5fc3\u529b}}<\/annotation><\/semantics><\/math>\u2202t\u2202u\u2032\u200b+(u\u2032\u22c5\u2207)u\u2032=\u2212\u03c11\u200b\u2207p+\u03bd\u22072u\u2032\u2212\u79d1\u6c0f\u529b2\u03c9\u00d7u\u2032\u200b\u200b\u2212\u79bb\u5fc3\u529b\u03c9\u00d7(\u03c9\u00d7r)\u200b\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u540c\u4eff\u771f\u65b9\u6cd5\u7684\u672c\u8d28\u533a\u522b\uff0c\u6b63\u5728\u4e8e<strong>\u5982\u4f55\u5904\u7406\u8fd9\u4e24\u4e2a\u53c2\u8003\u7cfb\u7684\u5207\u6362<\/strong>\uff0c\u4ee5\u53ca<strong>\u662f\u5426\u5728\u65f6\u95f4\u4e0a\u63a8\u8fdb<\/strong>\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001\u591a\u53c2\u8003\u7cfb\u6cd5\uff08MRF\uff09<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">2.1 \u57fa\u672c\u539f\u7406<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u591a\u53c2\u8003\u7cfb\u6cd5\uff08Multiple Reference Frame\uff0cMRF\uff09\u662f\u65cb\u8f6c\u673a\u68b0 CFD \u4e2d<strong>\u6700\u5e38\u7528\u3001\u6700\u7b80\u5355\u7684\u7a33\u6001\u4eff\u771f\u65b9\u6cd5<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u6838\u5fc3\u601d\u60f3\u662f\uff1a\u5c06\u8ba1\u7b97\u57df\u5212\u5206\u4e3a<strong>\u65cb\u8f6c\u5b50\u57df<\/strong>\u548c<strong>\u9759\u6b62\u5b50\u57df<\/strong>\uff0c\u5728\u5404\u81ea\u7684\u53c2\u8003\u7cfb\u4e0b\u5206\u522b\u6c42\u89e3 N-S 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\u5047\u8bbe\u8f6c\u5b50\u4e0e\u5b9a\u5b50\u4e4b\u95f4<strong>\u4e0d\u5b58\u5728\u65f6\u95f4\u76f8\u5173\u7684\u76f8\u4e92\u4f5c\u7528<\/strong>\uff0c\u4ea4\u754c\u9762\u4e0a\u7684\u901f\u5ea6\u548c\u538b\u529b\u901a\u8fc7\u5750\u6807\u53d8\u6362\u76f4\u63a5\u5339\u914d\uff0c\u800c\u4e0d\u968f\u65f6\u95f4\u63a8\u8fdb\u3002\u8fd9\u610f\u5473\u7740\u8f6c\u5b50\u88ab&#8221;\u51bb\u7ed3&#8221;\u5728\u67d0\u4e2a\u4f4d\u7f6e\uff0c\u52a8\u9759\u53f6\u7684\u76f8\u5bf9\u4f4d\u7f6e\u56fa\u5b9a\u4e0d\u53d8\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2.2 \u9002\u7528\u573a\u666f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">MRF \u6700\u9002\u5408\u4ee5\u4e0b\u60c5\u51b5\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5de5\u51b5\u9884\u6d4b\u4e0e\u6548\u7387\u66f2\u7ebf\u7ed8\u5236<\/strong>\uff1a\u53f6\u8f6e\u6cf5\u3001\u79bb\u5fc3\u5f0f\u538b\u6c14\u673a\u7684\u6027\u80fd\u66f2\u7ebf\uff08Q-H 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\u4f18\u7f3a\u70b9<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4f18\u70b9\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8ba1\u7b97\u91cf\u5c0f\uff0c\u6536\u655b\u901f\u5ea6\u5feb\uff08\u901a\u5e38\u53ea\u9700\u7a33\u6001\u8fed\u4ee3\uff09<\/li>\n\n\n\n<li>\u7f51\u683c\u65e0\u9700\u968f\u65f6\u95f4\u53d8\u5316\uff0c\u524d\u5904\u7406\u7b80\u5355<\/li>\n\n\n\n<li>\u5404\u5927\u5546\u4e1a\u8f6f\u4ef6\uff08Fluent\u3001CFX\u3001StarCCM+\u3001OpenFOAM\uff09\u5747\u6709\u6210\u719f\u5b9e\u73b0<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7f3a\u70b9\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u51bb\u7ed3\u8f6c\u5b50\u5047\u8bbe<\/strong>\uff1a\u52a8\u9759\u53f6\u76f8\u5bf9\u4f4d\u7f6e\u56fa\u5b9a\uff0c\u65e0\u6cd5\u6355\u6349\u53f6\u7247\u901a\u8fc7\u9891\u7387\u7b49\u975e\u5b9a\u5e38\u6548\u5e94<\/li>\n\n\n\n<li>\u52a8\u9759\u5e72\u6270\u5f3a\u65f6\u8bef\u5dee\u660e\u663e\uff08\u5982\u5bfc\u53f6\u4e0e\u53f6\u8f6e\u95f4\u9699\u5c0f\u3001\u901a\u6d41\u9762\u79ef\u7a81\u53d8\u5927\uff09<\/li>\n\n\n\n<li>\u4e0d\u9002\u5408\u6709\u5f3a\u65f6\u53d8\u6548\u5e94\u7684\u5de5\u51b5\uff08\u5982\u5931\u901f\u3001\u5598\u632f\uff09<\/li>\n\n\n\n<li>\u4ea4\u754c\u9762\u7684\u63d2\u503c\u65b9\u5f0f\u5bf9\u7ed3\u679c\u6709\u5f71\u54cd\uff0c\u9700\u8c28\u614e\u8bbe\u7f6e<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2.4 \u8f6f\u4ef6\u5b9e\u73b0\u8981\u70b9<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>ANSYS Fluent<\/strong>\uff1a\u5728 Cell Zone Conditions \u4e2d\u5c06\u65cb\u8f6c\u5b50\u57df\u8bbe\u7f6e\u4e3a MRF\uff0c\u6307\u5b9a\u65cb\u8f6c\u8f74\u548c\u89d2\u901f\u5ea6\uff1b\u4ea4\u754c\u9762\u8bbe\u7f6e\u4e3a Interface\uff0c\u6fc0\u6d3b Mesh Interface \u529f\u80fd<\/li>\n\n\n\n<li><strong>ANSYS CFX<\/strong>\uff1a\u4f7f\u7528 Frozen Rotor \u63a5\u53e3\u7c7b\u578b\uff08\u5373 MRF \u7684 CFX \u53eb\u6cd5\uff09\uff0c\u5728 Domain Interface \u4e2d\u9009\u62e9 Frozen Rotor<\/li>\n\n\n\n<li><strong>OpenFOAM<\/strong>\uff1a\u4f7f\u7528 <code>MRFZones<\/code> \u5b57\u5178\u5728 <code>constant\/<\/code> \u76ee\u5f55\u4e0b\u5b9a\u4e49\u65cb\u8f6c\u533a\u57df\uff0c\u914d\u5408 <code>steadyMRFFoam<\/code> \u6216 <code>simpleFoam<\/code>\uff08\u5e26MRF\u9009\u9879\uff09\u6c42\u89e3\u5668<\/li>\n\n\n\n<li><strong>StarCCM+<\/strong>\uff1a\u5728 Physics Model \u4e2d\u542f\u7528 Moving Reference Frame\uff0c\u4e3a\u65cb\u8f6c\u5b50\u57df\u6307\u5b9a Rotating Frame<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7f51\u683c\u5efa\u8bae<\/strong>\uff1a\u4ea4\u754c\u9762\u4e24\u4fa7\u7f51\u683c\u5c3a\u5bf8\u5e94\u5c3d\u91cf\u63a5\u8fd1\uff0c\u907f\u514d\u63d2\u503c\u8bef\u5dee\uff1b\u65cb\u8f6c\u5b50\u57df\u7f51\u683c\u8282\u70b9\u65e0\u9700\u5339\u914d\uff08\u975e\u5171\u5f62\u7f51\u683c\u53ef\u7528\uff09\uff0c\u4f46\u9762\u79ef\u4fdd\u6301\u91cf\u5e94\u6ee1\u8db3\u4e00\u81f4\u6027\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001\u51bb\u7ed3\u8f6c\u5b50\u6cd5\u4e0e\u6df7\u5408\u9762\u6cd5<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">3.1 \u51bb\u7ed3\u8f6c\u5b50\u6cd5\uff08Frozen Rotor\uff09<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u51bb\u7ed3\u8f6c\u5b50\u6cd5\u672c\u8d28\u4e0a\u662f MRF \u7684\u53e6\u4e00\u79cd\u8bf4\u6cd5\uff0c\u5728 ANSYS CFX \u4e2d\u88ab\u660e\u786e\u79f0\u4e3a Frozen Rotor \u63a5\u53e3\u3002\u5176\u4e0e MRF \u7684\u533a\u522b\u5728\u4e8e\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>MRF \u5e38\u7528\u4e8e\u6574\u673a\u7a33\u6001\uff0c\u8ba1\u7b97\u57df\u4e3a\u5168\u5468\u6216\u6247\u533a<\/li>\n\n\n\n<li>Frozen Rotor \u5f3a\u8c03\u52a8\u9759\u4ea4\u754c\u9762\u5904\u7684\u5750\u6807\u7cfb\u53d8\u6362\u5904\u7406\u65b9\u5f0f\u2014\u2014\u8f6c\u5b50\u88ab&#8221;\u51bb\u7ed3&#8221;\u5728\u7279\u5b9a\u89d2\u5ea6\u4f4d\u7f6e\uff0c\u4ea4\u754c\u9762\u4e24\u4fa7\u6d41\u573a\u76f4\u63a5\u505a\u53c2\u8003\u7cfb\u53d8\u6362<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u5173\u5fc3\u67d0\u4e2a\u7279\u5b9a\u8f6c\u5b50\u4f4d\u7f6e\u4e0b\u7684\u8f7d\u8377\u5206\u5e03\u65f6\uff08\u5982\u53f6\u7247\u5728\u6700\u4e0d\u5229\u4f4d\u7f6e\u7684\u53d7\u529b\uff09\uff0cFrozen Rotor \u662f\u5feb\u901f\u8bc4\u4f30\u5de5\u5177\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3.2 \u6df7\u5408\u9762\u6cd5\uff08Mixing Plane\uff09<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6df7\u5408\u9762\u6cd5\uff08Mixing Plane Method\uff09\u662f\u4e00\u79cd<strong>\u5728\u52a8\u9759\u4ea4\u754c\u9762\u4e0a\u8fdb\u884c\u5468\u5411\u5e73\u5747<\/strong>\u7684\u7a33\u6001\u5904\u7406\u65b9\u5f0f\uff0c\u5e38\u7528\u4e8e\u591a\u7ea7\u8f74\u6d41\/\u79bb\u5fc3\u538b\u7f29\u673a\u4eff\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u539f\u7406<\/strong>\uff1a\u5c06\u52a8\u9759\u4ea4\u754c\u9762\u4e0a\u7684\u6d41\u91cf\u3001\u538b\u529b\u3001\u901f\u5ea6\u7b49\u53c2\u6570\u6cbf<strong>\u5468\u5411\u65b9\u5411\u8fdb\u884c\u5e73\u5747<\/strong>\uff0c\u6d88\u53bb\u5468\u5411\u4e0d\u5747\u5300\u6027\uff0c\u7136\u540e\u5c06\u5e73\u5747\u503c\u4f5c\u4e3a\u8fb9\u754c\u6761\u4ef6\u4f20\u9012\u7ed9\u5bf9\u4fa7\u57df\u3002\u8fd9\u6837\uff0c\u8f6c\u5b50&#8221;\u770b\u5230&#8221;\u7684\u662f\u5b9a\u5b50\u51fa\u53e3\u7684\u5e73\u5747\u6d41\u573a\uff0c\u5b9a\u5b50&#8221;\u770b\u5230&#8221;\u7684\u662f\u8f6c\u5b50\u51fa\u53e3\u7684\u5e73\u5747\u6d41\u573a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4f18\u52bf<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6bd4 MRF \u66f4\u7269\u7406\u5408\u7406\u2014\u2014\u52a8\u9759\u4e24\u4fa7\u4ea4\u6362\u7684\u662f&#8221;\u5468\u5411\u5e73\u5747&#8221;\u4fe1\u606f\uff0c\u6d88\u9664\u4e86\u7531\u4e8e\u67d0\u4e2a\u7279\u5b9a\u8f6c\u5b50\u4f4d\u7f6e\u5f15\u8d77\u7684\u975e\u7269\u7406\u6270\u52a8<\/li>\n\n\n\n<li>\u7279\u522b\u9002\u5408<strong>\u591a\u7ea7\u8f74\u6d41\u538b\u6c14\u673a\/\u6da1\u8f6e<\/strong>\uff0c\u5404\u7ea7\u4e4b\u95f4\u7684\u5e72\u6270\u901a\u8fc7\u6df7\u5408\u9762\u4f20\u9012<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5c40\u9650\u6027<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5468\u5411\u5e73\u5747\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u7a33\u6001\u8fd1\u4f3c\uff0c\u65e0\u6cd5\u53cd\u6620\u53f6\u7247\u901a\u8fc7\u9891\u7387\uff08BPF\uff09\u7b49\u771f\u6b63\u7684\u975e\u5b9a\u5e38\u6548\u5e94<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u52a8\u9759\u5e72\u6270\u5f3a\u70c8\uff08\u5982\u5bfc\u53f6\u4e0e\u53f6\u7247\u901a\u9053\u6570\u63a5\u8fd1\uff0c\u5f3a\u52bf\u6d41\u5e72\u6270\uff09\u7684\u673a\u578b\uff0c\u8bef\u5dee\u8f83\u5927<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8f6f\u4ef6\u5b9e\u73b0<\/strong>\uff1aCFX \u4e2d\u7684 Stage \u63a5\u53e3\u7c7b\u578b\u5373\u6df7\u5408\u9762\u6cd5\uff1bFluent \u901a\u8fc7 Mixing Plane Model \u5b9e\u73b0\uff1bOpenFOAM \u7684 cyclicGgi \u53ef\u5b9e\u73b0\u7c7b\u4f3c\u529f\u80fd\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001\u6ed1\u52a8\u7f51\u683c\u6cd5\uff08Sliding Mesh\uff09<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">4.1 \u57fa\u672c\u539f\u7406<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ed1\u52a8\u7f51\u683c\u6cd5\uff08Sliding Mesh Method\uff09\u662f\u76ee\u524d<strong>\u7cbe\u5ea6\u6700\u9ad8\u3001\u6700\u5e38\u7528\u7684\u975e\u5b9a\u5e38\u65cb\u8f6c\u673a\u68b0\u4eff\u771f\u65b9\u6cd5<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e MRF&#8221;\u51bb\u7ed3&#8221;\u8f6c\u5b50\u4e0d\u540c\uff0c\u6ed1\u52a8\u7f51\u683c\u6cd5\u8ba9\u65cb\u8f6c\u5b50\u57df\u7684\u7f51\u683c\u771f\u5b9e\u5730\u968f\u65f6\u95f4\u65cb\u8f6c\u3002\u5728\u6bcf\u4e2a\u65f6\u95f4\u6b65\uff0c\u65cb\u8f6c\u5b50\u57df\u7684\u7f51\u683c\u76f8\u5bf9\u4e8e\u9759\u6b62\u5b50\u57df\u65cb\u8f6c\u4e00\u4e2a\u89d2\u5ea6 \u0394\u03b8 = \u03c9\u00b7\u0394t\uff0c\u52a8\u9759\u4ea4\u754c\u9762\uff08\u6ed1\u79fb\u9762\uff09\u4e24\u4fa7\u7684\u8282\u70b9\u4f4d\u7f6e\u4e0d\u65ad\u53d8\u5316\uff0c\u901a\u8fc7<strong>\u975e\u5171\u5f62\u754c\u9762\u63d2\u503c<\/strong>\uff08\u5982\u52a0\u6743\u63d2\u503c\u3001\u533a\u57df\u8026\u5408\uff09\u5b9e\u65f6\u4ea4\u6362\u6570\u636e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6574\u4e2a\u4eff\u771f\u5728<strong>\u77ac\u6001<\/strong>\u6761\u4ef6\u4e0b\u63a8\u8fdb\uff0c\u80fd\u591f\u771f\u5b9e\u6355\u6349\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u53f6\u7247\u901a\u8fc7\u9891\u7387\uff08BPF\uff09\u5f15\u8d77\u7684\u538b\u529b\u8109\u52a8<\/li>\n\n\n\n<li>\u52a8\u9759\u53f6\u4e4b\u95f4\u7684\u52bf\u6d41\u5e72\u6270\u548c\u5c3e\u8ff9\u5e72\u6270<\/li>\n\n\n\n<li>\u53f6\u8f6e\u5185\u90e8\u6d41\u52a8\u7684\u65f6\u53d8\u7279\u5f81\uff08\u5982\u65cb\u8f6c\u5931\u901f\u7684\u521d\u751f\u4e0e\u53d1\u5c55\uff09<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">4.2 \u9002\u7528\u573a\u666f<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u9700\u8981\u975e\u5b9a\u5e38\u4fe1\u606f<\/strong>\u7684\u6240\u6709\u65cb\u8f6c\u673a\u68b0\u573a\u666f<\/li>\n\n\n\n<li>\u53f6\u7247\u901a\u8fc7\u9891\u7387\u5206\u6790\u3001\u566a\u58f0\u9884\u6d4b\uff08\u6c14\u52a8\u58f0\u5b66\uff09<\/li>\n\n\n\n<li>\u65cb\u8f6c\u5931\u901f\u3001\u5598\u632f\u3001\u6d41\u52a8\u4e0d\u7a33\u5b9a\u6027\u7814\u7a76<\/li>\n\n\n\n<li>\u53f6\u8f6e\u4e0e\u8717\u58f3\/\u6269\u538b\u5668\u4e4b\u95f4\u5e72\u6270\u5f3a\u70c8\u7684\u60c5\u51b5\uff08\u5982\u53f6\u8f6e\u51fa\u53e3\u4e0e\u5bfc\u53f6\u8fdb\u53e3\u95f4\u9699\u5c0f\uff09<\/li>\n\n\n\n<li>\u591a\u7ea7\u538b\u7f29\u673a\/\u6da1\u8f6e\u7684\u975e\u5b9a\u5e38\u7ea7\u95f4\u5e72\u6270\u7814\u7a76<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5178\u578b\u5e94\u7528\uff1a\u8f74\u6d41\u98ce\u673a\uff08\u6c14\u52a8\u566a\u58f0\u5206\u6790\uff09\u3001\u6da1\u8f6e\u673a\u7ec4\uff08\u53f6\u7247\u8f7d\u8377\u65f6\u53d8\uff09\u3001\u6c34\u529b\u900f\u5e73\uff08\u538b\u529b\u8109\u52a8\uff09\u3001\u6df7\u6d41\u6cf5\uff08\u9a7c\u5cf0\u533a\u5931\u7a33\u7814\u7a76\uff09\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4.3 \u4f18\u7f3a\u70b9<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4f18\u70b9\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u7269\u7406\u4fdd\u771f\u5ea6\u9ad8<\/strong>\uff1a\u5b8c\u6574\u6355\u6349\u65cb\u8f6c\u5f15\u8d77\u7684\u6240\u6709\u975e\u5b9a\u5e38\u6548\u5e94<\/li>\n\n\n\n<li>\u53ef\u83b7\u5f97\u65f6\u57df\u538b\u529b\u8109\u52a8\u3001\u901f\u5ea6\u8109\u52a8\u4fe1\u53f7\uff0c\u53ef\u8fdb\u884c FFT \u5206\u6790<\/li>\n\n\n\n<li>\u65e0&#8221;\u51bb\u7ed3&#8221;\u5047\u8bbe\uff0c\u52a8\u9759\u5e72\u6270\u771f\u5b9e\u53cd\u6620<\/li>\n\n\n\n<li>\u5bf9\u5f3a\u52a8\u9759\u5e72\u6270\u95ee\u9898\uff08\u5982\u4f4e\u6bd4\u8f6c\u901f\u6cf5\u3001\u5bc6\u96c6\u5bfc\u53f6\u6da1\u8f6e\uff09\u5c24\u5176\u51c6\u786e<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7f3a\u70b9\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8ba1\u7b97\u91cf\u5927<\/strong>\uff1a\u9700\u8981\u63a8\u8fdb\u8db3\u591f\u7684\u65cb\u8f6c\u5708\u6570\u76f4\u81f3\u5468\u671f\u6536\u655b\uff08\u901a\u5e38 5-20 \u5708\uff09\uff0c\u6bcf\u5708\u82e5\u5e72\u65f6\u95f4\u6b65<\/li>\n\n\n\n<li>\u65f6\u95f4\u6b65\u9700\u6ee1\u8db3 CFL \u7a33\u5b9a\u6027\u6761\u4ef6\uff08\u0394\u03b8CFL \u2248 0.5\u00b0~2\u00b0 per step \u4e3a\u5e38\u89c1\u7ecf\u9a8c\u503c\uff09<\/li>\n\n\n\n<li>\u524d\u5904\u7406\u66f4\u590d\u6742\uff1a\u9700\u8981\u660e\u786e\u8bbe\u7f6e\u6ed1\u79fb\u9762\u3001\u65f6\u95f4\u6b65\u3001\u6570\u636e\u91c7\u96c6\u7a97\u53e3<\/li>\n\n\n\n<li>\u5b58\u50a8\u9700\u6c42\u5927\uff1a\u77ac\u6001\u573a\u6587\u4ef6\u6570\u91cf\u591a<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">4.4 \u8f6f\u4ef6\u5b9e\u73b0\u8981\u70b9<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>ANSYS Fluent<\/strong>\uff1a\u5728 Cell Zone Conditions \u4e2d\u8bbe\u7f6e Mesh Motion\uff08\u800c\u975e MRF\uff09\uff0c\u6fc0\u6d3b Dynamic Mesh \u4e2d\u7684 Rigid Body Motion\uff1b\u4ea4\u754c\u9762\u8bbe\u7f6e\u4e3a Mesh Interface\uff0c\u52fe\u9009 Periodic Repeats\uff08\u5982\u6247\u533a\u6a21\u578b\uff09<\/li>\n\n\n\n<li><strong>ANSYS CFX<\/strong>\uff1a\u52a8\u9759\u4ea4\u754c\u9762\u9009\u62e9 Transient Rotor Stator \u7c7b\u578b\uff0c\u5728 Analysis Type \u4e2d\u8bbe\u7f6e\u77ac\u6001\u6c42\u89e3<\/li>\n\n\n\n<li><strong>OpenFOAM<\/strong>\uff1a\u4f7f\u7528 <code>pimpleFoam<\/code> \u6216 <code>pimpleDyMFoam<\/code> \u914d\u5408 <code>dynamicMeshDict<\/code> \u4e2d\u7684 <code>solidBodyMotionFvMesh<\/code> \u7c7b\u578b\uff0c\u8bbe\u7f6e\u65cb\u8f6c\u8f74\u548c\u89d2\u901f\u5ea6\uff1b\u4ea4\u754c\u9762\u4f7f\u7528 <code>cyclicAMI<\/code>\uff08Arbitrary Mesh Interface\uff09\u5904\u7406\u975e\u5171\u5f62\u6ed1\u79fb\u9762<\/li>\n\n\n\n<li><strong>StarCCM+<\/strong>\uff1a\u5728 Physics Model \u4e2d\u542f\u7528 Rigid Body Motion\uff0c\u5728 Interface \u4e2d\u8bbe\u7f6e Sliding \u7c7b\u578b\u7684 In-place Interface<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u65f6\u95f4\u6b65\u9009\u62e9\u5efa\u8bae<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6bcf\u4e2a\u53f6\u7247\u901a\u8fc7\u4e00\u4e2a\u7f51\u683c\u5355\u5143\u7684\u65f6\u95f4 \u2248 \u5408\u7406\u65f6\u95f4\u6b65\u4e0a\u9650<\/li>\n\n\n\n<li>\u7ecf\u9a8c\u503c\uff1a\u6bcf\u8f6c360\u6b65\uff08\u53731\u00b0\/step\uff09\u7528\u4e8e\u5927\u591a\u6570\u5de5\u51b5\uff1b\u5173\u6ce8BPF\u65f6\u53ef\u7ec6\u5316\u81f30.5\u00b0\/step<\/li>\n\n\n\n<li>\u901a\u5e38\u9700\u8981\u63a8\u8fdb 3-5 \u4e2a\u65cb\u8f6c\u5468\u671f\u8fbe\u5230\u7edf\u8ba1\u6536\u655b\uff0c\u518d\u53d6\u540e\u7eed\u5468\u671f\u4f5c\u4e3a\u6709\u6548\u6570\u636e<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image\"><img decoding=\"async\" data-src=\"https:\/\/secure2.wostatic.cn\/static\/g47zmR3kAih5egu6S5rgqF\/image.png?auth_key=1779951918-8MswZp9HepKdkEx8F3BuMJ-0-069ee563b37cfcdeefd5039f8b8e215a\" alt=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" \/><\/figure>\n<\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e94\u3001\u52a8\u7f51\u683c\u6cd5\uff08Dynamic Mesh\uff09<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">5.1 \u57fa\u672c\u539f\u7406<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u52a8\u7f51\u683c\u6cd5\uff08Dynamic Mesh Method\uff09\u662f\u6bd4\u6ed1\u52a8\u7f51\u683c\u66f4\u901a\u7528\u7684\u77ac\u6001\u7f51\u683c\u8fd0\u52a8\u6280\u672f\u3002\u5728\u6ed1\u52a8\u7f51\u683c\u4e2d\uff0c\u65cb\u8f6c\u57df\u7684\u7f51\u683c\u62d3\u6251\u4fdd\u6301\u4e0d\u53d8\uff0c\u4ec5\u505a\u6574\u4f53\u521a\u4f53\u65cb\u8f6c\uff1b\u800c\u52a8\u7f51\u683c\u5141\u8bb8<strong>\u7f51\u683c\u672c\u8eab\u53d1\u751f\u53d8\u5f62\u3001\u91cd\u5212\u5206<\/strong>\uff0c\u80fd\u591f\u5904\u7406\u66f4\u590d\u6742\u7684\u8fd0\u52a8\u5f62\u5f0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u52a8\u7f51\u683c\u6280\u672f\u901a\u5e38\u5305\u542b\u4e09\u79cd\u7f51\u683c\u5904\u7406\u7b56\u7565\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5f39\u7c27\u5149\u987a\uff08Spring Smoothing\uff09<\/strong>\uff1a\u5c06\u7f51\u683c\u8fb9\u89c6\u4f5c\u5f39\u7c27\uff0c\u8282\u70b9\u968f\u8fb9\u754c\u8fd0\u52a8\u800c&#8221;\u5f39\u6027\u53d8\u5f62&#8221;\uff0c\u9002\u5408\u5c0f\u53d8\u5f62\u95ee\u9898<\/li>\n\n\n\n<li><strong>\u5c40\u90e8\u91cd\u7f51\u683c\uff08Local Remeshing\uff09<\/strong>\uff1a\u5f53\u7f51\u683c\u8d28\u91cf\u52a3\u5316\uff08\u9ad8\u504f\u659c\u7387\uff09\u65f6\uff0c\u81ea\u52a8\u5220\u9664\u5e76\u91cd\u65b0\u751f\u6210\u5c40\u90e8\u7f51\u683c\u5355\u5143\uff0c\u9002\u5408\u5927\u53d8\u5f62<\/li>\n\n\n\n<li><strong>\u5c42\u94fa\u6cd5\uff08Layering\uff09<\/strong>\uff1a\u5728\u8fd0\u52a8\u8fb9\u754c\u9644\u8fd1\u5468\u671f\u6027\u5730\u589e\u52a0\u6216\u5220\u9664\u7f51\u683c\u5c42\uff0c\u5e38\u7528\u4e8e\u6d3b\u585e\u5f0f\u8fd0\u52a8\uff08\u5f80\u590d\u538b\u7f29\u673a\uff09<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">5.2 \u9002\u7528\u573a\u666f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u52a8\u7f51\u683c\u6cd5\u5728\u65cb\u8f6c\u673a\u68b0\u4e2d\u5e38\u7528\u4e8e\u4ee5\u4e0b<strong>\u7279\u6b8a\u573a\u666f<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5f80\u590d\u5f0f\u538b\u7f29\u673a\/\u5185\u71c3\u673a<\/strong>\uff1a\u6d3b\u585e\u5f80\u590d\u8fd0\u52a8\uff0c\u6c14\u7f38\u5bb9\u79ef\u5468\u671f\u6027\u53d8\u5316<\/li>\n\n\n\n<li><strong>\u53f6\u7247\u53ef\u8c03\u673a\u6784<\/strong>\uff1a\u53d8\u6868\u8ddd\u87ba\u65cb\u6868\u3001\u53ef\u8c03\u5bfc\u53f6\uff08IGV\uff09\uff0c\u53f6\u7247\u89d2\u5ea6\u968f\u5de5\u51b5\u53d8\u5316<\/li>\n\n\n\n<li><strong>\u65cb\u8f6c\u673a\u68b0\u4e0e\u5916\u90e8\u6d41\u573a\u7684\u5f3a\u8026\u5408<\/strong>\uff1a\u5982\u98ce\u529b\u673a\u53f6\u7247\u5927\u53d8\u5f62\u65f6\u7684\u6c14\u5f39\u5206\u6790<\/li>\n\n\n\n<li><strong>\u975e\u89c4\u5219\u65cb\u8f6c<\/strong>\uff1a\u8fdb\u52a8\u3001\u7ae0\u52a8\u7b49\u975e\u6052\u5b9a\u8f6c\u901f\u8fd0\u52a8<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u5e38\u89c4\u6052\u901f\u65cb\u8f6c\uff08\u6cf5\u3001\u538b\u6c14\u673a\u3001\u6da1\u8f6e\uff09\uff0c\u901a\u5e38\u4f18\u5148\u9009\u7528<strong>\u6ed1\u52a8\u7f51\u683c<\/strong>\uff08\u66f4\u7b80\u5355\u3001\u66f4\u7a33\u5b9a\uff09\uff0c\u52a8\u7f51\u683c\u66f4\u591a\u7528\u4e8e\u4ee5\u4e0a\u7279\u6b8a\u60c5\u5f62\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5.3 \u4f18\u7f3a\u70b9<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4f18\u70b9\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u901a\u7528\u6027\u6781\u5f3a\uff0c\u53ef\u5904\u7406\u4efb\u610f\u5f62\u5f0f\u7684\u8fd0\u52a8\uff08\u65cb\u8f6c\u3001\u5e73\u52a8\u3001\u53d8\u5f62\u7684\u7ec4\u5408\uff09<\/li>\n\n\n\n<li>\u80fd\u6a21\u62df\u53f6\u7247\u53d8\u5f62\u3001\u95f4\u9699\u53d8\u5316\u7b49\u51e0\u4f55\u975e\u7ebf\u6027\u6548\u5e94<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7f3a\u70b9\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u524d\u5904\u7406\u590d\u6742<\/strong>\uff1a\u9700\u8981\u7cbe\u7ec6\u914d\u7f6e\u8fd0\u52a8\u51fd\u6570\uff08UDF\/\u8868\u8fbe\u5f0f\uff09\uff0c\u7f51\u683c\u8d28\u91cf\u63a7\u5236\u96be<\/li>\n\n\n\n<li><strong>\u91cd\u7f51\u683c\u5f15\u5165\u6570\u503c\u8bef\u5dee<\/strong>\uff1a\u5c40\u90e8\u91cd\u7f51\u683c\u540e\u7f51\u683c\u62d3\u6251\u6539\u53d8\uff0c\u4fdd\u5b88\u91cf\u63d2\u503c\u5e26\u6765\u8bef\u5dee<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97\u6210\u672c\u9ad8<\/strong>\uff1a\u6bcf\u4e2a\u65f6\u95f4\u6b65\u53ef\u80fd\u9700\u8981\u91cd\u5212\u5206\uff0c\u901f\u5ea6\u6bd4\u6ed1\u52a8\u7f51\u683c\u6162<\/li>\n\n\n\n<li>\u8c03\u8bd5\u548c\u6536\u655b\u63a7\u5236\u96be\u5ea6\u5927\uff0c\u5de5\u7a0b\u5e94\u7528\u95e8\u69db\u9ad8<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">5.4 \u8f6f\u4ef6\u5b9e\u73b0\u8981\u70b9<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>ANSYS Fluent<\/strong>\uff1aDynamic Mesh \u529f\u80fd\u6700\u5b8c\u5584\uff0c\u652f\u6301 UDF \u81ea\u5b9a\u4e49\u8fd0\u52a8\u3001Profile \u6587\u4ef6\u9a71\u52a8\u8fd0\u52a8\uff1b\u516d\u81ea\u7531\u5ea6\uff086-DOF\uff09\u6c42\u89e3\u5668\u53ef\u4e0e\u6d41\u4f53\u8ba1\u7b97\u53cc\u5411\u8026\u5408<\/li>\n\n\n\n<li><strong>OpenFOAM<\/strong>\uff1a<code>dynamicFvMesh<\/code> \u5e93\u63d0\u4f9b\u591a\u79cd\u52a8\u7f51\u683c\u9009\u9879\uff0c<code>sixDoFRigidBodyMotion<\/code> \u9002\u5408\u6d41\u56fa\u8026\u5408\u573a\u666f<\/li>\n\n\n\n<li><strong>StarCCM+<\/strong>\uff1a\u901a\u8fc7 DFBI\uff08Dynamic Fluid-Body Interaction\uff09\u5b9e\u73b0\u516d\u81ea\u7531\u5ea6\u8fd0\u52a8\uff0c\u56fe\u5f62\u5316\u8bbe\u7f6e\u8f83\u53cb\u597d<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u516d\u3001\u5468\u671f\u6027\u8fb9\u754c\u6761\u4ef6\u4e0e\u6247\u533a\u6a21\u578b<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">6.1 \u57fa\u672c\u539f\u7406<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u53f6\u8f6e\u673a\u68b0\uff0c\u8f6c\u5b50\u548c\u5b9a\u5b50\u901a\u5e38\u5728\u5468\u5411\u4e0a\u662f<strong>\u5468\u671f\u5bf9\u79f0<\/strong>\u7684\u2014\u2014\u76f8\u90bb\u4e24\u4e2a\u53f6\u7247\u901a\u9053\u4e4b\u95f4\u7684\u6d41\u573a\u5b8c\u5168\u76f8\u540c\u3002\u5229\u7528\u8fd9\u4e00\u5bf9\u79f0\u6027\uff0c\u53ef\u4ee5<strong>\u53ea\u8ba1\u7b97\u4e00\u4e2a\u53f6\u7247\u901a\u9053\uff08\u6247\u533a\uff09<\/strong>\uff0c\u5927\u5e45\u964d\u4f4e\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u65cb\u8f6c\u5468\u671f\u6027\u8fb9\u754c\u6761\u4ef6<\/strong>\u5c06\u6247\u533a\u4e00\u4fa7\u8fb9\u754c\u4e0a\u7684\u6d41\u573a\u53d8\u91cf\uff08\u901f\u5ea6\u3001\u538b\u529b\u3001\u6e4d\u6d41\u91cf\uff09\u4e0e\u53e6\u4e00\u4fa7\u8fb9\u754c\u5173\u8054\uff1a<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>\u03d5<\/mi><mo stretchy=\"false\">(<\/mo><mi>r<\/mi><mo separator=\"true\">,<\/mo><mi>\u03b8<\/mi><mo>+<\/mo><mi mathvariant=\"normal\">\u0394<\/mi><mi>\u03b8<\/mi><mo separator=\"true\">,<\/mo><mi>z<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mi>\u03d5<\/mi><mo stretchy=\"false\">(<\/mo><mi>r<\/mi><mo separator=\"true\">,<\/mo><mi>\u03b8<\/mi><mo separator=\"true\">,<\/mo><mi>z<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\phi(r, \\theta + \\Delta\\theta, z) = \\phi(r, \\theta, z)<\/annotation><\/semantics><\/math>\u03d5(r,\u03b8+\u0394\u03b8,z)=\u03d5(r,\u03b8,z)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d \u0394\u03b8 = 2\u03c0\/N\uff08N \u4e3a\u53f6\u7247\u6570\uff09\uff0c\u8fd9\u4e00\u5173\u7cfb\u5728\u7a33\u6001\u60c5\u51b5\u4e0b\u7cbe\u786e\u6210\u7acb\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6.2 \u4e0e MRF\/\u6ed1\u52a8\u7f51\u683c\u7684\u7ec4\u5408\u4f7f\u7528<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5468\u671f\u6027\u8fb9\u754c\u6761\u4ef6\u672c\u8eab\u4e0d\u662f\u72ec\u7acb\u7684\u65cb\u8f6c\u5904\u7406\u65b9\u6cd5\uff0c\u800c\u662f\u914d\u5408 MRF \u6216\u6ed1\u52a8\u7f51\u683c\u4f7f\u7528\u7684<strong>\u7f51\u683c\u89c4\u6a21\u7f29\u51cf\u6280\u672f<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6247\u533a MRF<\/strong>\uff1a\u5355\u53f6\u7247\u901a\u9053 + MRF\uff0c\u7a33\u6001\u8ba1\u7b97\uff0c\u8ba1\u7b97\u91cf\u6781\u5c0f\uff0c\u662f\u8bbe\u8ba1\u4f18\u5316\u7684\u9996\u9009<\/li>\n\n\n\n<li><strong>\u6247\u533a\u6ed1\u52a8\u7f51\u683c<\/strong>\uff1a\u5355\u53f6\u7247\u901a\u9053\u77ac\u6001\u8ba1\u7b97\uff0c\u8981\u6c42\u8f6c\u5b50\u4e0e\u5b9a\u5b50\u53f6\u7247\u6570\u4e4b\u6bd4\u4e3a\u7b80\u5355\u6709\u7406\u6570\uff08\u5982 2:3\uff09\uff0c\u901a\u8fc7&#8221;\u65f6\u95f4\u79fb\u4f4d&#8221;\uff08Time-Shift \/ Phase-Lag\uff09\u6280\u672f\u5904\u7406\u76f8\u4f4d\u5dee<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">**\u76f8\u4f4d\u6ede\u540e\u6cd5\uff08Phase-Lag Method \/ Time-Transformation\uff09**\u662f\u6247\u533a\u975e\u5b9a\u5e38\u4eff\u771f\u7684\u91cd\u8981\u7a81\u7834\uff1a\u5373\u4f7f\u53f6\u7247\u6570\u4e4b\u6bd4\u4e0d\u662f\u7b80\u5355\u5206\u6570\uff0c\u901a\u8fc7\u5c06\u65f6\u95f4\u5ef6\u8fdf\u5f15\u5165\u5468\u671f\u8fb9\u754c\uff0c\u4e5f\u80fd\u7528\u5355\u901a\u9053\u8ba1\u7b97\u6a21\u62df\u5168\u5468\u975e\u5b9a\u5e38\u6d41\u52a8\uff0c\u5927\u5e45\u8282\u7701\u8ba1\u7b97\u8d44\u6e90\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>ANSYS CFX<\/strong>\uff1a\u5185\u7f6e Profile Transformation \u548c Time Transformation \u4e24\u79cd\u76f8\u4f4d\u6ede\u540e\u65b9\u6cd5<\/li>\n\n\n\n<li><strong>Fluent<\/strong>\uff1aSCORE\uff08Single Channel Oscillating Reference Expander\uff09\u65b9\u6cd5\u652f\u6301\u975e\u6574\u6570\u53f6\u7247\u6bd4\u7684\u6247\u533a\u8ba1\u7b97<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image\"><img decoding=\"async\" data-src=\"https:\/\/secure2.wostatic.cn\/static\/q7Hnuo44JjKqgb48LsdTtY\/image.png?auth_key=1779951920-6QGYDTKzS58eNWQa4gjXvy-0-f88f1650fbb3f2410784ef7055a13265\" alt=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" \/><\/figure>\n<\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e03\u3001\u683c\u5b50\u73bb\u5c14\u5179\u66fc\u65b9\u6cd5\uff08LBM\uff09\u5728\u65cb\u8f6c\u673a\u68b0\u4e2d\u7684\u5e94\u7528<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">7.1 \u57fa\u672c\u539f\u7406<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u683c\u5b50\u73bb\u5c14\u5179\u66fc\u65b9\u6cd5\uff08Lattice Boltzmann Method\uff0cLBM\uff09\u662f\u8fd1\u5e74\u6765\u5174\u8d77\u7684 CFD \u65b9\u6cd5\uff0c\u57fa\u4e8e\u4ecb\u89c2\u5c3a\u5ea6\u7684\u7c92\u5b50\u5206\u5e03\u51fd\u6570\u6f14\u5316\u65b9\u7a0b\uff0c\u800c\u975e\u76f4\u63a5\u6c42\u89e3 N-S \u65b9\u7a0b\u3002LBM \u5929\u7136\u5e76\u884c\u3001\u8fb9\u754c\u5904\u7406\u7b80\u4fbf\uff0c\u5728\u5de5\u7a0b CFD \u4e2d\u9010\u6e10\u5d2d\u9732\u5934\u89d2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u65cb\u8f6c\u673a\u68b0\u4eff\u771f\u4e2d\uff0cLBM \u4e3b\u8981\u901a\u8fc7<strong>\u6d78\u5165\u8fb9\u754c\u6cd5\uff08Immersed Boundary Method, IBM\uff09\u6216<\/strong>\u975e\u60ef\u6027\u7cfb\u683c\u5b50\u5904\u7406\u65cb\u8f6c\u53f6\u7247\uff0c\u907f\u514d\u4e86\u4f20\u7edf FVM \u65b9\u6cd5\u4e2d\u590d\u6742\u7684\u52a8\u7f51\u683c\u6216 MRF \u8bbe\u7f6e\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7.2 \u5de5\u7a0b\u5e94\u7528\u73b0\u72b6<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">LBM \u5728\u65cb\u8f6c\u673a\u68b0\u4e2d\u76ee\u524d\u4e3b\u8981\u5e94\u7528\u4e8e\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6c14\u52a8\u566a\u58f0\u9884\u6d4b<\/strong>\uff08\u98ce\u673a\u53f6\u7247\u566a\u58f0\u3001\u6c7d\u8f66\u51b7\u5374\u98ce\u6247\u566a\u58f0\uff09\uff1aLBM \u5728\u4f4e\u9a6c\u8d6b\u6570\u6e4d\u6d41\u548c\u58f0\u573a\u8026\u5408\u65b9\u9762\u6709\u5929\u7136\u4f18\u52bf<\/li>\n\n\n\n<li><strong>\u6c7d\u8f66\u6563\u70ed\u98ce\u6247\u7cfb\u7edf<\/strong>\uff1aPowerFLOW\uff08\u73b0\u4e3a Simulia \u4ea7\u54c1\uff09\u5728\u6c7d\u8f66\u884c\u4e1a\u6709\u6210\u719f\u5546\u4e1a\u5e94\u7528<\/li>\n\n\n\n<li><strong>\u7535\u673a\u51b7\u5374\u6d41\u9053<\/strong>\uff1a\u590d\u6742\u51e0\u4f55\u4e0b\u7684\u4f4e\u901f\u6e4d\u6d41<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4ee3\u8868\u8f6f\u4ef6<\/strong>\uff1aSimulia PowerFLOW\uff08\u57fa\u4e8e LBM\uff09\uff1b\u5f00\u6e90\u65b9\u9762 OpenLB\u3001Palabos \u7b49\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">LBM \u5728\u9ad8\u9a6c\u8d6b\u6570\u3001\u5f3a\u65cb\u8f6c\u3001\u591a\u76f8\u6d41\u7b49\u573a\u666f\u8fd8\u6709\u4e00\u5b9a\u5c40\u9650\uff0c\u76ee\u524d\u5c1a\u672a\u6210\u4e3a\u65cb\u8f6c\u673a\u68b0\u4eff\u771f\u7684\u4e3b\u6d41\uff0c\u4f46\u5176\u5728\u566a\u58f0\u548c\u4f4e\u901f\u6e4d\u6d41\u9886\u57df\u7684\u7cbe\u5ea6\u4f18\u52bf\u503c\u5f97\u5173\u6ce8\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u516b\u3001\u65b9\u6cd5\u5bf9\u6bd4\u4e0e\u9009\u578b\u5efa\u8bae<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">8.1 \u7efc\u5408\u5bf9\u6bd4\u8868<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u65b9\u6cd5<\/th><th>\u6c42\u89e3\u7c7b\u578b<\/th><th>\u8ba1\u7b97\u91cf<\/th><th>\u7cbe\u5ea6<\/th><th>\u975e\u5b9a\u5e38\u4fe1\u606f<\/th><th>\u9002\u7528\u573a\u666f<\/th><th>\u4e3b\u8981\u8f6f\u4ef6\u652f\u6301<\/th><\/tr><\/thead><tbody><tr><td>MRF\uff08\u591a\u53c2\u8003\u7cfb\uff09<\/td><td>\u7a33\u6001<\/td><td>\u2605\u2606\u2606<\/td><td>\u4e2d\u7b49<\/td><td>\u2717<\/td><td>\u6027\u80fd\u66f2\u7ebf\u3001\u8bbe\u8ba1\u4f18\u5316<\/td><td>Fluent, CFX, StarCCM+, OpenFOAM<\/td><\/tr><tr><td>\u51bb\u7ed3\u8f6c\u5b50\uff08Frozen Rotor\uff09<\/td><td>\u7a33\u6001<\/td><td>\u2605\u2606\u2606<\/td><td>\u4e2d\u7b49<\/td><td>\u2717<\/td><td>\u7279\u5b9a\u4f4d\u7f6e\u8f7d\u8377\u8bc4\u4f30<\/td><td>CFX, Fluent<\/td><\/tr><tr><td>\u6df7\u5408\u9762\uff08Mixing Plane\uff09<\/td><td>\u7a33\u6001<\/td><td>\u2605\u2605\u2606<\/td><td>\u8f83\u9ad8<\/td><td>\u2717<\/td><td>\u591a\u7ea7\u538b\u6c14\u673a\/\u6da1\u8f6e<\/td><td>CFX\uff08Stage\uff09, Fluent<\/td><\/tr><tr><td>\u6ed1\u52a8\u7f51\u683c\uff08Sliding Mesh\uff09<\/td><td>\u77ac\u6001<\/td><td>\u2605\u2605\u2605<\/td><td>\u9ad8<\/td><td>\u2713<\/td><td>\u975e\u5b9a\u5e38\u5206\u6790\u3001\u566a\u58f0\u3001\u5931\u901f<\/td><td>Fluent, CFX, StarCCM+, OpenFOAM<\/td><\/tr><tr><td>\u52a8\u7f51\u683c\uff08Dynamic Mesh\uff09<\/td><td>\u77ac\u6001<\/td><td>\u2605\u2605\u2605<\/td><td>\u9ad8<\/td><td>\u2713<\/td><td>\u5f80\u590d\u673a\u68b0\u3001\u53d8\u6868\u8ddd\u3001\u6c14\u5f39<\/td><td>Fluent, StarCCM+, OpenFOAM<\/td><\/tr><tr><td>\u76f8\u4f4d\u6ede\u540e\u6247\u533a\u6cd5<\/td><td>\u77ac\u6001\uff08\u6247\u533a\uff09<\/td><td>\u2605\u2605\u2606<\/td><td>\u9ad8<\/td><td>\u2713<\/td><td>\u591a\u7ea7\u673a\uff08\u8ba1\u7b97\u8d44\u6e90\u53d7\u9650\uff09<\/td><td>CFX, Fluent\uff08SCORE\uff09<\/td><\/tr><tr><td>LBM<\/td><td>\u77ac\u6001<\/td><td>\u2605\u2605\u2605<\/td><td>\u9ad8\uff08\u4f4e\u9a6c\u8d6b\uff09<\/td><td>\u2713<\/td><td>\u6c14\u52a8\u566a\u58f0\u3001\u4f4e\u901f\u6d41<\/td><td>PowerFLOW, OpenLB<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">8.2 \u5de5\u7a0b\u9009\u578b\u51b3\u7b56\u6811<\/h3>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\u4f60\u7684\u4eff\u771f\u76ee\u6807\u662f\u4ec0\u4e48\uff1f\n\u2502\n\u251c\u2500\u2500 \u53ea\u9700\u8981\u5e73\u5747\u6027\u80fd\uff08\u6548\u7387\u3001\u626c\u7a0b\u3001\u6d41\u91cf\uff09\uff1f\n\u2502   \u2514\u2500\u2500 \u2192 MRF + \u6247\u533a\u6a21\u578b\uff08\u6700\u5feb\uff09\n\u2502       \u2192 \u591a\u7ea7\u673a\u5668 \u2192 \u6df7\u5408\u9762\u6cd5\n\u2502\n\u251c\u2500\u2500 \u9700\u8981\u975e\u5b9a\u5e38\u4fe1\u606f\uff08\u538b\u529b\u8109\u52a8\u3001BPF\u3001\u566a\u58f0\uff09\uff1f\n\u2502   \u2514\u2500\u2500 \u8ba1\u7b97\u8d44\u6e90\u5145\u8db3\uff1f\n\u2502       \u251c\u2500\u2500 \u662f \u2192 \u6ed1\u52a8\u7f51\u683c\uff08\u5168\u5706\u6216\u6247\u533a\uff09\n\u2502       \u2514\u2500\u2500 \u53d7\u9650 \u2192 \u76f8\u4f4d\u6ede\u540e\u6247\u533a\u6cd5\n\u2502\n\u251c\u2500\u2500 \u5f80\u590d\u8fd0\u52a8\u6216\u53d8\u51e0\u4f55\uff08\u6d3b\u585e\u3001\u53d8\u6868\u8ddd\uff09\uff1f\n\u2502   \u2514\u2500\u2500 \u2192 \u52a8\u7f51\u683c\u6cd5\n\u2502\n\u2514\u2500\u2500 \u6c14\u52a8\u566a\u58f0\u4e3a\u4e3b\u8981\u76ee\u6807\uff1f\n    \u2514\u2500\u2500 \u2192 \u8003\u8651 LBM\uff08PowerFLOW\uff09\u6216 Fluent DES + FW-H \u65b9\u7a0b\n<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">8.3 \u51e0\u70b9\u5b9e\u6218\u7ecf\u9a8c<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. MRF \u7ed3\u679c\u4f5c\u4e3a\u6ed1\u52a8\u7f51\u683c\u521d\u59cb\u573a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u6ed1\u52a8\u7f51\u683c\uff08\u975e\u5b9a\u5e38\uff09\uff0c\u5148\u8dd1\u4e00\u4e2a MRF \u7a33\u6001\u89e3\uff0c\u5c06\u7ed3\u679c\u4f5c\u4e3a\u77ac\u6001\u521d\u59cb\u573a\uff0c\u53ef\u4ee5\u663e\u8457\u52a0\u901f\u975e\u5b9a\u5e38\u8fed\u4ee3\u7684\u6536\u655b\uff0c\u51cf\u5c11&#8221;\u6696\u673a&#8221;\u5708\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. \u4ea4\u754c\u9762\u8bbe\u7f6e\u662f\u5173\u952e<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u52a8\u9759\u4ea4\u754c\u9762\u7684\u8bbe\u7f6e\uff08\u5171\u5f62 vs \u975e\u5171\u5f62\u3001\u63d2\u503c\u65b9\u5f0f\uff09\u5bf9\u7ed3\u679c\u5f71\u54cd\u660e\u663e\u3002\u63a8\u8350\u5728\u4ea4\u754c\u9762\u4e24\u4fa7\u4fdd\u6301\u76f8\u8fd1\u7684\u7f51\u683c\u5c3a\u5bf8\uff1b\u5bf9\u4e8e MRF\uff0c\u4f18\u5148\u9009\u62e9\u5468\u5411\u9762\u79ef\u4e00\u81f4\u7684\u5706\u67f1\u4ea4\u754c\u9762\u4f4d\u7f6e\uff0c\u907f\u514d\u653e\u5728\u53f6\u7247\u5c3e\u8ff9\u533a\u57df\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. \u65f6\u95f4\u6b65\u957f\u4e0e\u53f6\u7247\u6570\u7684\u5173\u7cfb<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ed1\u52a8\u7f51\u683c\u7684\u65f6\u95f4\u6b65\u5efa\u8bae\u6ee1\u8db3\uff1a\u6bcf\u4e2a\u53f6\u7247\u901a\u8fc7\u4e00\u4e2a\u76f8\u90bb\u53f6\u7247\u901a\u9053\u7684\u65f6\u95f4\u81f3\u5c11\u5206\u6210 20 \u6b65\u4ee5\u4e0a\uff08\u901a\u5e38\u53d6\u53f6\u7247\u901a\u8fc7\u65f6\u95f4\u7684 1\/20~1\/50 \u4f5c\u4e3a\u65f6\u95f4\u6b65\uff09\u3002\u53f6\u7247\u6570\u591a\u65f6\u53ef\u9002\u5f53\u653e\u5bbd\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. \u9a8c\u8bc1\u4e0e\u786e\u8ba4\uff08V&amp;V\uff09<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u65cb\u8f6c\u673a\u68b0 CFD \u7ed3\u679c\u5e94\u4e0e\u8bd5\u9a8c\u53f0\u6570\u636e\uff08\u626c\u7a0b\u3001\u6548\u7387\u7279\u6027\u66f2\u7ebf\uff09\u8fdb\u884c\u7cfb\u7edf\u9a8c\u8bc1\u3002\u5e38\u89c1\u9a8c\u8bc1\u6307\u6807\uff1a\u989d\u5b9a\u5de5\u51b5\u6548\u7387\u8bef\u5dee &lt; 2%\uff0c\u538b\u529b\u8109\u52a8\u4e3b\u9891\u5e45\u503c\u8bef\u5dee &lt; 10%\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e5d\u3001\u672a\u6765\u8d8b\u52bf\u5c55\u671b<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">9.1 GPU \u52a0\u901f\u4e0e\u5927\u89c4\u6a21\u5e76\u884c<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u968f\u7740 NVIDIA GPU \u548c AMD GPU \u5728 HPC \u96c6\u7fa4\u4e2d\u7684\u666e\u53ca\uff0c\u4f20\u7edf CPU \u96c6\u7fa4\u8fd0\u884c\u7684 MPI \u5e76\u884c CFD \u6b63\u5728\u5411 GPU \u5f02\u6784\u8ba1\u7b97\u8fc1\u79fb\u3002ANSYS Fluent 2024 \u7248\u672c\u5df2\u5b9e\u73b0\u5b8c\u6574\u7684 GPU Native \u6c42\u89e3\uff0c\u6ed1\u52a8\u7f51\u683c\u7684\u5355\u5de5\u51b5\u8ba1\u7b97\u65f6\u95f4\u6709\u671b\u4ece\u6570\u5929\u538b\u7f29\u81f3\u6570\u5c0f\u65f6\uff0c\u8fd9\u5c06\u63a8\u52a8\u975e\u5b9a\u5e38\u4eff\u771f\uff08\u6ed1\u52a8\u7f51\u683c\uff09\u8fdb\u4e00\u6b65\u666e\u53ca\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">9.2 \u57fa\u4e8e\u673a\u5668\u5b66\u4e60\u7684\u4ee3\u7406\u6a21\u578b<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6df1\u5ea6\u5b66\u4e60\u6b63\u5728\u8fdb\u5165\u65cb\u8f6c\u673a\u68b0\u8bbe\u8ba1\u6d41\u7a0b\u3002\u901a\u8fc7\u5bf9\u5927\u91cf MRF \u4eff\u771f\u6570\u636e\u8fdb\u884c\u8bad\u7ec3\uff0c\u53ef\u4ee5\u6784\u5efa\u53f6\u8f6e\u6027\u80fd\u9884\u6d4b\u7684\u795e\u7ecf\u7f51\u7edc\u4ee3\u7406\u6a21\u578b\uff08Surrogate Model\uff09\uff0c\u5b9e\u73b0\u6beb\u79d2\u7ea7\u7684\u5de5\u51b5\u9884\u6d4b\uff0c\u652f\u6301\u591a\u76ee\u6807\u4f18\u5316\u7b97\u6cd5\uff08\u5982 NSGA-II\uff09\u7684\u5927\u89c4\u6a21\u641c\u7d22\u3002\u76ee\u524d\u5df2\u6709\u56e2\u961f\u5728\u79bb\u5fc3\u6cf5\u548c\u8f74\u6d41\u98ce\u673a\u53f6\u578b\u4f18\u5316\u4e2d\u53d6\u5f97\u7a81\u7834\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">9.3 LES\/DNS \u5728\u65cb\u8f6c\u673a\u68b0\u4e2d\u7684\u5e94\u7528\u6269\u5c55<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u968f\u7740\u7b97\u529b\u63d0\u5347\uff0c\u57fa\u4e8e\u5927\u6da1\u6a21\u62df\uff08LES\uff09\u4e43\u81f3\u76f4\u63a5\u6570\u503c\u6a21\u62df\uff08DNS\uff09\u7684\u65cb\u8f6c\u673a\u68b0\u4eff\u771f\u6b63\u5728\u4ece\u5b66\u672f\u8d70\u5411\u5de5\u7a0b\u3002\u5c24\u5176\u662f\u5728\u65cb\u8f6c\u5931\u901f\u3001\u5598\u632f\u8d77\u59cb\u7b49\u5f3a\u975e\u5b9a\u5e38\u3001\u5f3a\u5206\u79bb\u573a\u666f\uff0cURANS \u6e4d\u6d41\u6a21\u578b\u5df2\u9010\u6e10\u66b4\u9732\u51fa\u5c40\u9650\u6027\uff0cHybrid RANS-LES\uff08\u5982 DES\u3001SAS\u3001WMLES\uff09\u65b9\u6cd5\u6b63\u5728\u6210\u4e3a\u9ad8\u7cbe\u5ea6\u5de5\u4e1a\u4eff\u771f\u7684\u65b0\u9009\u62e9\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">9.4 \u6570\u5b57\u5b6a\u751f\u4e0e\u5728\u7ebf\u4eff\u771f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c06\u5feb\u901f CFD \u6a21\u578b\uff08\u7b80\u5316\u7684 MRF \u6216\u4ee3\u7406\u6a21\u578b\uff09\u4e0e\u5b9e\u65f6\u4f20\u611f\u5668\u6570\u636e\u878d\u5408\uff0c\u6784\u5efa\u65cb\u8f6c\u673a\u68b0\u7684<strong>\u6d41\u4f53\u52a8\u529b\u5b66\u6570\u5b57\u5b6a\u751f\uff08CFD Digital Twin\uff09<\/strong>\uff0c\u662f\u5de5\u4e1a\u4e92\u8054\u7f51\u65f6\u4ee3\u7684\u91cd\u8981\u65b9\u5411\u3002\u8fd9\u8981\u6c42\u4eff\u771f\u6a21\u578b\u4e0d\u4ec5\u7cbe\u5ea6\u8db3\u591f\uff0c\u8fd8\u9700\u5177\u5907\u8fd1\u5b9e\u65f6\u7684\u54cd\u5e94\u901f\u5ea6\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u7ed3\u8bed<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u65cb\u8f6c\u673a\u68b0\u7684\u6d41\u4f53\u4eff\u771f\uff0c\u672c\u8d28\u4e0a\u662f\u5728<strong>\u7cbe\u5ea6\u4e0e\u6548\u7387<\/strong>\u4e4b\u95f4\u627e\u5230\u6700\u4f18\u5e73\u8861\u3002MRF \u4ee5\u6781\u5c0f\u7684\u8ba1\u7b97\u4ee3\u4ef7\u63d0\u4f9b\u8bbe\u8ba1\u9636\u6bb5\u6240\u9700\u7684\u6027\u80fd\u8bc4\u4f30\uff1b\u6ed1\u52a8\u7f51\u683c\u4ee5\u65f6\u57df\u771f\u5b9e\u6027\u6ee1\u8db3\u975e\u5b9a\u5e38\u5206\u6790\u7684\u4e25\u82db\u9700\u6c42\uff1b\u52a8\u7f51\u683c\u548c\u76f8\u4f4d\u6ede\u540e\u6cd5\u5219\u8986\u76d6\u4e86\u66f4\u590d\u6742\u7684\u5de5\u7a0b\u8fb9\u754c\uff1b\u800c LBM \u7b49\u65b0\u5174\u65b9\u6cd5\u6b63\u5728\u7279\u5b9a\u8d5b\u9053\u4e0a\u5c55\u73b0\u72ec\u7279\u4ef7\u503c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ca1\u6709&#8221;\u6700\u597d&#8221;\u7684\u65b9\u6cd5\uff0c\u53ea\u6709<strong>\u6700\u9002\u5408\u5f53\u524d\u5de5\u7a0b\u95ee\u9898<\/strong>\u7684\u9009\u62e9\u3002\u7406\u89e3\u6bcf\u79cd\u65b9\u6cd5\u80cc\u540e\u7684\u7269\u7406\u5047\u8bbe\u548c\u6570\u5b66\u672c\u8d28\uff0c\u624d\u80fd\u5728\u9762\u5bf9\u65b0\u95ee\u9898\u65f6\u505a\u51fa\u6709\u636e\u53ef\u4f9d\u7684\u51b3\u7b56\u2014\u2014\u8fd9\u4e5f\u662f\u6bcf\u4e00\u4f4d CFD \u5de5\u7a0b\u5e08\u4ece&#8221;\u4f1a\u7528\u8f6f\u4ef6&#8221;\u5230&#8221;\u771f\u6b63\u61c2\u4eff\u771f&#8221;\u7684\u5fc5\u7ecf\u4e4b\u8def\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u672c\u6587\u5bf9\u4f60\u6709\u5e2e\u52a9\uff0c\u6b22\u8fce\u70b9\u8d5e\u6536\u85cf\uff0c\u4e5f\u6b22\u8fce\u5728\u8bc4\u8bba\u533a\u5206\u4eab\u4f60\u5728\u65cb\u8f6c\u673a\u68b0\u4eff\u771f\u4e2d\u7684\u5b9e\u6218\u7ecf\u9a8c\uff01<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u672c\u6587\u914d\u56fe\u5747\u4e3a\u793a\u610f\u6027\u56fe\u89e3\uff0c\u5b9e\u9645\u4eff\u771f\u754c\u9762\u56e0\u8f6f\u4ef6\u7248\u672c\u4e0d\u540c\u7565\u6709\u5dee\u5f02\u3002\u6587\u4e2d\u6d89\u53ca\u7684\u8f6f\u4ef6\u529f\u80fd\u63cf\u8ff0\u57fa\u4e8e 2024 \u5e74\u4e3b\u6d41\u5546\u4e1a\u7248\u672c\u3002<\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u53c2\u8003\u8d44\u6599\u65b9\u5411\uff08\u4f9b\u6269\u5c55\u9605\u8bfb\uff09\uff1a<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>ANSYS Fluent Theory Guide &#8211; Moving Reference Frame Formulation<\/li>\n\n\n\n<li>ANSYS CFX Solver Theory Guide &#8211; Rotating Frame of Reference<\/li>\n\n\n\n<li>Lakshminarayana, B. <em>Fluid Dynamics and Heat Transfer of Turbomachinery<\/em>, Wiley<\/li>\n\n\n\n<li>Casey, M. &amp; Winterbone, D. <em>The Thermodynamics and Gas Dynamics of Internal Combustion Engines<\/em><\/li>\n\n\n\n<li>OpenFOAM Documentation &#8211; AMI (Arbitrary Mesh Interface) for Rotating Machinery<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"374\" data-src=\"http:\/\/guagefangzhen.cn\/wp-content\/uploads\/2026\/05\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u767d\u8272\u7248-1024x374.png\" alt=\"\" class=\"wp-image-1215 lazyload\" data-srcset=\"https:\/\/guagefangzhen.cn\/wp-content\/uploads\/2026\/05\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u767d\u8272\u7248-1024x374.png 1024w, https:\/\/guagefangzhen.cn\/wp-content\/uploads\/2026\/05\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u767d\u8272\u7248-300x109.png 300w, https:\/\/guagefangzhen.cn\/wp-content\/uploads\/2026\/05\/\u626b\u7801_\u641c\u7d22\u8054\u5408\u4f20\u64ad\u6837\u5f0f-\u767d\u8272\u7248-768x280.png 768w, 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\u79bb\u5fc3\u6cf5\u53f6\u8f6e\u7684\u9ad8\u901f\u65cb\u8f6c\u3001\u6da1\u8f6e\u53d1\u52a8\u673a\u538b\u6c14\u673a\u7ea7\u95f4\u7684\u590d\u6742\u6d41\u52a8\u3001\u98ce\u529b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-1237","post","type-post","status-publish","format-standard","hentry","category-techblog"],"_links":{"self":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts\/1237","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1237"}],"version-history":[{"count":1,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts\/1237\/revisions"}],"predecessor-version":[{"id":1238,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=\/wp\/v2\/posts\/1237\/revisions\/1238"}],"wp:attachment":[{"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1237"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1237"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/guagefangzhen.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1237"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}