{"id":111197,"date":"2026-09-30T15:25:09","date_gmt":"2026-09-30T07:25:09","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/111197.html"},"modified":"2026-09-30T15:25:09","modified_gmt":"2026-09-30T07:25:09","slug":"ithaca-fv-reduced-order-modellingrom-techniques-for-openfoam","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/111197.html","title":{"rendered":"ITHACA\u2011FV, Reduced order modelling(ROM) techniques for OpenFOAM"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>ITHACA\u2011FV \u9879\u76ee\u4ecb\u7ecd\u4e0e\u4f7f\u7528\u8be6\u60c5<\/li>\n<li>\n<ul>\n<li>\u4e00\u3001\u9879\u76ee\u7b80\u4ecb<\/li>\n<li>\n<ul>\n<li>\u7b2c\u4e09\u65b9\u5185\u7f6e\u4f9d\u8d56&#xff08;git\u5b50\u6a21\u5757\u81ea\u5e26&#xff0c;\u65e0\u9700\u989d\u5916\u5b89\u88c5&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>\u4e8c\u3001\u6838\u5fc3\u529f\u80fd\u7279\u6027<\/li>\n<li>\u4e09\u3001\u7f16\u8bd1\u5b89\u88c5\u6b65\u9aa4<\/li>\n<li>\n<ul>\n<li>\u524d\u7f6e\u6761\u4ef6<\/li>\n<\/ul>\n<\/li>\n<li>\u56db\u3001\u5178\u578b\u5de5\u4f5c\u6d41&#xff08;\u5b8c\u6574\u4f7f\u7528\u6d41\u7a0b&#xff09;<\/li>\n<li>\n<ul>\n<li>\u9636\u6bb51&#xff1a;\u79bb\u7ebf\u9636\u6bb5&#xff08;\u6210\u672c\u9ad8&#xff0c;\u53ea\u505a\u4e00\u6b21&#xff09;<\/li>\n<li>\u9636\u6bb52&#xff1a;\u5728\u7ebf\u9636\u6bb5&#xff08;\u6781\u5feb&#xff0c;\u5927\u91cf\u8c03\u7528&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>\u4e94\u3001\u4ee3\u7801\u8c03\u7528\u4e24\u79cd\u6a21\u5f0f<\/li>\n<li>\n<ul>\n<li>\u6a21\u5f0fA&#xff1a;\u76f4\u63a5\u4f7f\u7528\u9879\u76ee\u63d0\u4f9b\u7684\u53ef\u6267\u884c\u7a0b\u5e8f<\/li>\n<li>\u6a21\u5f0fB&#xff1a;C&#043;&#043;\u4e8c\u6b21\u5f00\u53d1&#xff0c;\u5728\u81ea\u5df1\u7684OpenFOAM\u7a0b\u5e8f\u94fe\u63a5ITHACA\u2011FV\u5e93<\/li>\n<\/ul>\n<\/li>\n<li>\u516d\u3001\u91cd\u8981\u9650\u5236\u4e0e\u6ce8\u610f\u4e8b\u9879<\/li>\n<li>\u4e03\u3001\u5b66\u4e60\u8d44\u6e90<\/li>\n<li>\u516b\u3001\u5f15\u7528<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>ITHACA\u2011FV \u9879\u76ee\u4ecb\u7ecd\u4e0e\u4f7f\u7528\u8be6\u60c5<\/h2>\n<p>GitHub\u5730\u5740&#xff1a;https:\/\/github.com\/ITHACA\u2011FV\/ITHACA\u2011FV \u5168\u79f0&#xff1a;In real Time Highly Advanced Computational Applications for Finite Volumes&#xff0c;\u9762\u5411OpenFOAM\u7684\u5f00\u6e90\u964d\u9636\u6a21\u578b&#xff08;ROM&#xff0c;Model Order Reduction&#xff09;C&#043;&#043;\u5e93&#xff0c;\u7531mathLab\u8bfe\u9898\u7ec4\u5f00\u53d1\u7ef4\u62a4\u3002<\/p>\n<h3>\u4e00\u3001\u9879\u76ee\u7b80\u4ecb<\/h3>\n<p>ITHACA\u2011FV\u662f\u6784\u5efa\u4e8eOpenFOAM\u6709\u9650\u4f53\u79ef\u6c42\u89e3\u5668\u4e4b\u4e0a\u7684\u964d\u9636\u5efa\u6a21\u5de5\u5177\u5e93&#xff0c;\u6838\u5fc3\u76ee\u6807&#xff1a;\u628a\u9ad8\u4fdd\u771fCFD\u5168\u9636\u6a21\u578b&#xff08;FOM&#xff09;&#xff0c;\u901a\u8fc7\u964d\u9636\u65b9\u6cd5\u6784\u5efa\u4ee3\u7406\u6a21\u578b&#xff0c;\u5927\u5e45\u964d\u4f4e\u53c2\u6570\u5316CFD\u3001\u77ac\u6001\u6d41\u4f53\u4eff\u771f\u7684\u8ba1\u7b97\u5f00\u9500&#xff0c;\u7528\u4e8e\u53c2\u6570\u626b\u63cf\u3001\u5b9e\u65f6\u9884\u6d4b\u3001\u6570\u5b57\u5b6a\u751f\u7b49\u573a\u666f\u3002<\/p>\n<p>\u4f20\u7edfOpenFOAM\u76f4\u63a5\u505a\u591a\u53c2\u6570\u7b97\u4f8b&#xff0c;\u6bcf\u4e2a\u53c2\u6570\u90fd\u8981\u8dd1\u5b8c\u6574CFD&#xff1b;ITHACA\u2011FV\u5206\u4e3a\u79bb\u7ebf\u9636\u6bb5&#xff08;\u8fd0\u884c\u82e5\u5e72\u5168\u9636CFD&#xff0c;\u91c7\u96c6\u6d41\u573a\u5feb\u7167&#xff0c;\u6784\u5efa\u964d\u9636\u57fa&#xff09;\u548c\u5728\u7ebf\u9636\u6bb5&#xff08;\u4f7f\u7528\u5c0f\u7ef4\u5ea6\u964d\u9636\u6a21\u578b\u5feb\u901f\u9884\u6d4b\u65b0\u53c2\u6570\u4e0b\u573a&#xff0c;\u4e0d\u518d\u8dd1\u5b8c\u6574CFD&#xff09;\u3002<\/p>\n<p>\u9002\u914d&#xff1a;\u5b98\u65b9\u4e3b\u8981\u9762\u5411 openfoam.com \u5546\u4e1a\u53d1\u884c\u7248&#xff08;v2106\/v2212\/v2306\/v2412&#xff09;&#xff0c;\u4e5f\u53ef\u624b\u52a8\u9002\u914dOpenFOAM Foundation\u793e\u533a\u7248&#xff1b;\u652f\u6301Ubuntu\u3001CentOS\u3001Arch\u7b49Linux\u7cfb\u7edf\u3002<\/p>\n<h4>\u7b2c\u4e09\u65b9\u5185\u7f6e\u4f9d\u8d56&#xff08;git\u5b50\u6a21\u5757\u81ea\u5e26&#xff0c;\u65e0\u9700\u989d\u5916\u5b89\u88c5&#xff09;<\/h4>\n<li>Eigen&#xff1a;\u7a20\u5bc6\u7ebf\u6027\u4ee3\u6570\u77e9\u9635\u8fd0\u7b97<\/li>\n<li>Spectra&#xff1a;\u7279\u5f81\u503c\u5206\u89e3&#xff08;POD\u672c\u5f81\u8ba1\u7b97&#xff09;<\/li>\n<li>OptimLib&#xff1a;\u6570\u503c\u4f18\u5316\u6c42\u89e3<\/li>\n<h3>\u4e8c\u3001\u6838\u5fc3\u529f\u80fd\u7279\u6027<\/h3>\n<li>\u4fb5\u5165\u5f0f\u964d\u9636 POD\u2011Galerkin&#xff1a;\u6b63\u4ea4\u5206\u89e3&#043;Galerkin\u6295\u5f71&#xff0c;\u76f4\u63a5\u64cd\u4f5cOpenFOAM\u79bb\u6563\u77e9\u9635\u7b97\u5b50&#xff08;discretize\u2011then\u2011project\u7b56\u7565&#xff09;&#xff0c;\u652f\u6301\u7a33\u6001\u3001\u77ac\u6001\u6d41\u4f53&#xff1b;<\/li>\n<li>\u975e\u4fb5\u5165\u5f0f\u964d\u9636 POD\u2011I&#xff1a;POD\u57fa &#043; \u5f84\u5411\u57fa\u51fd\u6570RBF\u63d2\u503c&#xff0c;\u4e0d\u9700\u8981\u8bbf\u95ee\u5e95\u5c42\u79bb\u6563\u77e9\u9635&#xff1b;<\/li>\n<li>DEIM&#xff08;\u79bb\u6563\u7ecf\u9a8c\u63d2\u503c\u6cd5&#xff09;&#xff1a;\u5904\u7406\u975e\u7ebf\u6027\u9879\u3001\u975e\u4eff\u5c04\u6e90\u9879&#xff0c;\u7f13\u89e3Galerkin\u964d\u9636\u540e\u975e\u7ebf\u6027\u9879\u4f9d\u65e7\u6602\u8d35\u7684\u95ee\u9898&#xff1b;<\/li>\n<li>\u652f\u6301\u7528\u6237\u81ea\u5b9a\u4e49\u53c2\u6570\u7a7a\u95f4&#xff0c;\u53c2\u6570\u53ef\u4ee5\u662f\u8fb9\u754c\u6761\u4ef6\u3001\u7269\u6027\u3001\u51e0\u4f55\u76f8\u5173&#xff1b;<\/li>\n<li>\u8f93\u51fa\u964d\u9636\u57fa\u3001\u5feb\u7167\u3001\u964d\u9636\u7cfb\u7edf\u77e9\u9635&#xff1b;\u53ef\u5bfc\u51fa\u7ed3\u679c\u7528\u4e8e\u5916\u90e8\u540e\u5904\u7406&#xff0c;\u4e5f\u53ef\u5bf9\u63a5\u7f51\u9875\u7aefrom.js\u505a\u6d4f\u89c8\u5668\u7aef\u5b9e\u65f6\u4eff\u771f&#xff1b;<\/li>\n<li>\u81ea\u5e26\u5927\u91cftutorial\u7b97\u4f8b&#xff1a;\u65b9\u8154\u9a71\u52a8\u6d41\u3001\u5706\u67f1\u7ed5\u6d41\u3001\u70ed\u5bf9\u6d41\u7b49\u6807\u51c6CFD\u6d4b\u8bd5\u6848\u4f8b\u3002<\/li>\n<p>\u9002\u7528\u573a\u666f&#xff1a;\u53c2\u6570\u5316\u6d41\u4f53\u4eff\u771f\u3001\u5feb\u901f\u54cd\u5e94\u8bc4\u4f30\u3001\u6570\u5b57\u5b6a\u751f\u4ee3\u7406\u6a21\u578b&#xff1b;\u4e3b\u8981\u9488\u5bf9\u5c42\u6d41&#xff0c;\u6e4d\u6d41\u964d\u9636\u9700\u8981\u989d\u5916\u6570\u636e\u9a71\u52a8\u95ed\u5408\u6a21\u578b\u3002<\/p>\n<h3>\u4e09\u3001\u7f16\u8bd1\u5b89\u88c5\u6b65\u9aa4<\/h3>\n<h4>\u524d\u7f6e\u6761\u4ef6<\/h4>\n<li>\u5df2\u7ecf\u7f16\u8bd1\u597d\u5bf9\u5e94\u7248\u672cOpenFOAM&#xff0c;\u7ec8\u7aef\u5148source OpenFOAM\u73af\u5883&#xff1b;<\/li>\n<li>git&#xff0c;wmake\u7f16\u8bd1\u73af\u5883\u3002<\/li>\n<p><span class=\"token comment\"># 1.\u52a0\u8f7dOpenFOAM\u73af\u5883&#xff08;\u793a\u4f8bv2412&#xff0c;\u6362\u6210\u4f60\u7684\u7248\u672c&#xff09;<\/span><br \/>\n<span class=\"token builtin class-name\">source<\/span> <span class=\"token environment constant\">$HOME<\/span>\/OpenFOAM\/OpenFOAM\u2011v2412\/etc\/bashrc<\/p>\n<p><span class=\"token comment\"># 2.\u514b\u9686\u4ed3\u5e93\u5e76\u62c9\u53d6\u5b50\u6a21\u5757&#xff08;Eigen\/Spectra\/OptimLib&#xff09;<\/span><br \/>\n<span class=\"token function\">git<\/span> clone <span class=\"token parameter variable\">&#8211;depth<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">[<\/span>https:\/\/github.com\/ITHACA<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">(<\/span>https:\/\/github.com\/ITHACA<span class=\"token punctuation\">)<\/span>\u2011FV\/ITHACA\u2011FV.git<br \/>\n<span class=\"token builtin class-name\">cd<\/span> ITHACA\u2011FV<br \/>\n<span class=\"token function\">git<\/span> submodule update <span class=\"token parameter variable\">&#8211;init<\/span><\/p>\n<p><span class=\"token comment\"># 3.\u52a0\u8f7dITHACA\u2011FV\u81ea\u8eab\u73af\u5883<\/span><br \/>\n<span class=\"token builtin class-name\">source<\/span> etc\/bashrc<\/p>\n<p><span class=\"token comment\"># 4.\u7f16\u8bd1<\/span><br \/>\n<span class=\"token comment\">## \u9ed8\u8ba4\u4ec5\u7f16\u8bd1\u6838\u5fc3\u5e93&#xff08;\u4e0d\u7f16\u8bd1\u7b97\u4f8b\u3001\u5355\u5143\u6d4b\u8bd5&#xff09;<\/span><br \/>\n.\/Allwmake<\/p>\n<p><span class=\"token comment\">## \u5982\u679c\u9700\u8981\u7f16\u8bd1tutorials\u3001unitTest&#xff0c;\u52a0\u53c2\u6570<\/span><br \/>\n<span class=\"token comment\"># .\/Allwmake -h \u67e5\u770b\u5e2e\u52a9<\/span><br \/>\n<span class=\"token comment\"># .\/Allwmake -a \u7f16\u8bd1\u5168\u90e8&#xff1a;\u5e93&#043;\u5e94\u7528&#043;\u5355\u5143\u6d4b\u8bd5&#043;tutorials<\/span><\/p>\n<p>\u7f16\u8bd1\u5b8c\u6210\u540e&#xff0c;\u6bcf\u6b21\u65b0\u5f00\u7ec8\u7aef&#xff0c;\u9700\u8981\u540c\u65f6source OpenFOAM\u548cITHACA\u2011FV\/etc\/bashrc\u624d\u80fd\u8c03\u7528\u5e93\u4e0e\u5de5\u5177\u7a0b\u5e8f\u3002<\/p>\n<h3>\u56db\u3001\u5178\u578b\u5de5\u4f5c\u6d41&#xff08;\u5b8c\u6574\u4f7f\u7528\u6d41\u7a0b&#xff09;<\/h3>\n<p>ITHACA\u2011FV\u6807\u51c6\u6d41\u7a0b\u5206\u4e3a\u79bb\u7ebf&#xff08;Offline&#xff09; \u548c\u5728\u7ebf&#xff08;Online&#xff09; 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