{"id":72,"date":"2011-05-24T09:04:48","date_gmt":"2011-05-24T01:04:48","guid":{"rendered":"http:\/\/101.37.83.176\/?p=72"},"modified":"2022-09-07T17:27:28","modified_gmt":"2022-09-07T09:27:28","slug":"numerical-simulation","status":"publish","type":"post","link":"http:\/\/101.37.83.176\/?p=72","title":{"rendered":"CFD\u7a33\u6001\u6570\u503c\u6a21\u62df\u7684\u5efa\u8bae"},"content":{"rendered":"

\u00a9 Written by J.Y. WANG<\/span><\/a><\/p>\n

\"\"<\/a><\/p>\n

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(a) \u8ba1\u7b97\u57df\u8bbe\u7f6e<\/h4>\n

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(b) \u8ba1\u7b97\u57df\u7f51\u683c\u8bbe\u7f6e<\/h4>\n

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y^+=\\frac{\\rho u_\\tau y}{\\mu}<\/span>
\n\u5f0f\u4e2duz\u4e3a\u6469\u64e6\u901f\u5ea6\uff0cy\u4e3a\u7b2c\u4e00\u6392\u7f51\u683c\u8282\u70b9\u8ddd\u58c1\u9762\u7684\u6cd5\u5411\u8ddd\u79bb\uff0c\u03c1\u548c\u03bc\u5206\u522b\u4e3a\u6d41\u4f53\u7684\u5bc6\u5ea6\u548c\u52a8\u529b\u7c98\u6027\u7cfb\u6570\u3002<\/p>\n

\u7531\u4e8e\u975e\u5e73\u8861\u58c1\u9762\u51fd\u6570\u57fa\u4e8eLaunder\u548cSpalding\u63d0\u51fa\u7684\u5e73\u5747\u901f\u5ea6\u5bf9\u6570\u7387\u5f3a\u70c8\u7684\u4f9d\u8d56\u4e8e\u538b\u529b\u68af\u5ea6\u7406\u8bba\uff0c\u800c\u58c1\u9762\u901f\u5ea6\u7684\u5bf9\u6570\u7387\u4ec5\u5728y+>30~60\u8303\u56f4\u7684\u8fb9\u754c\u5c42\u4e2d\u9002\u7528\uff0c\u56e0\u6b64\uff0c\u5728\u8fd0\u7528\u58c1\u9762\u51fd\u6570\u6765\u6a21\u62df\u8fd1\u58c1\u9762\u6d41\u52a8\u65f6\uff0c\u7f51\u683c\u5e03\u7f6e\u7684\u5173\u952e\u662f\u786e\u5b9a\u7b2c\u4e00\u6392\u7f51\u683c\u7684\u4f4d\u7f6e\uff0c\u4e00\u822c\u539f\u5219\u662f\u7b2c\u4e00\u6392\u7f51\u683c\u5e94\u5e03\u7f6e\u5728y+=30\u5de6\u53f3\u800c\u4e0d\u5b9c\u592a\u5bc6\u3002\u6570\u503c\u98ce\u6d1e\u7684\u6a21\u62df\u7ed3\u679c\u5f88\u5927\u7a0b\u5ea6\u4e0a\u53d6\u51b3\u4e8e\u8ba1\u7b97\u57df\u7f51\u683c\u5212\u5206\u7684\u4f18\u52a3\u3002\u56e0\u6b64\u7f51\u683c\u5e94\u5f53\u7cbe\u7ec6\u5230\u8db3\u591f\u6355\u6349\u5230\u526a\u5207\u5c42\u3001\u65cb\u6da1\u7b49\u7269\u7406\u73b0\u8c61\u7684\u7279\u5f81\u53d8\u5316\uff0c\u7f51\u683c\u7684\u8d28\u91cf\u4e5f\u5fc5\u987b\u8db3\u591f\u7684\u9ad8\u3002\u5728\u6d41\u52a8\u53d8\u5316\u68af\u5ea6\u5927\u7684\u533a\u57df\uff0c\u7f51\u683c\u7684\u62c9\u4f38\u6216\u538b\u7f29\u7387\u5e94\u5f53\u5c0f\uff0c\u4f7f\u5f97\u622a\u9762\u8bef\u5dee\u5c0f\uff0c\u4e24\u4e2a\u76f8\u90bb\u5355\u5143\u7684\u6269\u5c55\u7cfb\u6570\u5e94\u5f53\u5c0f\u4e8e1.3\u3002\u5728\u5927\u578b\u5efa\u7b51\u4e2d\uff0c\u6d41\u52a8\u53c2\u6570\u6cbf\u58c1\u9762\u6cd5\u7ebf\u65b9\u5411\u53d8\u5316\u5267\u70c8\uff0c\u56e0\u6b64\u5728\u58c1\u9762\u6cd5\u5411\uff0c\u7f51\u683c\u9700\u8981\u52a0\u5bc6\uff0c\u4ee5\u7cbe\u786e\u6c42\u89e3\u58c1\u9762\u8fb9\u754c\u5c42\u5185\u7684\u538b\u529b\u3002\u5c31\u8ba1\u7b97\u7f51\u683c\u5f62\u72b6\u800c\u8a00\uff0c\u516d\u9762\u4f53\u4f18\u4e8e\u56db\u9762\u4f53\uff0c\u524d\u8005\u53ef\u4ee5\u5f15\u5165\u8f83\u5c0f\u7684\u622a\u65ad\u8bef\u5dee\uff0c\u5e76\u663e\u51fa\u826f\u597d\u7684\u6536\u655b\u6027\u3002\u7136\u800c\uff0c\u5728\u98ce\u5de5\u7a0b\u4e2d\u51e0\u4f55\u4f53\u603b\u662f\u975e\u5e38\u590d\u6742\u7684\uff0c\u901a\u5e38\u4f7f\u7528\u56db\u9762\u4f53\u7f51\u683c\u3002\u4f46\u5728\u58c1\u9762\u5904\u7f51\u683c\u7ebf\u5fc5\u987b\u4e0e\u58c1\u9762\u6b63\u4ea4\uff0c\u56e0\u6b64\u68f1\u67f1\u4f53\u7f51\u683c\u548c\u56db\u9762\u4f53\u7f51\u683c\u5e94\u4e00\u8d77\u4f7f\u7528\u3002\u5982\u679c\u60f3\u9884\u6d4b\u58c1\u9762\u7684\u538b\u529b\uff0c\u81f3\u5c11\u5e94\u5e03\u7f6e5\u5c42\u68f1\u67f1\u4f53\u7f51\u683c\u5728\u58c1\u9762\u5904\u3002<\/p>\n

\u7528\u6709\u9650\u4f53\u79ef\u53d1\u8fdb\u884c\u6570\u503c\u8ba1\u7b97\u65f6\uff0c\u5bf9\u6d41\u9879\u7684\u63d2\u503c\u683c\u5f0f\u975e\u5e38\u91cd\u8981\u3002\u4e00\u9636\u8fce\u98ce\u683c\u5f0f\u901a\u5e38\u5305\u542b\u8f83\u5927\u7684\u6570\u503c\u8017\u6563\u3002\u76ee\u524d\u63a8\u8350\u91c7\u7528\u4e8c\u9636\u8fce\u98ce\u63d2\u503c\u683c\u5f0f\uff0c\u5176\u6570\u503c\u8017\u6563\u660e\u663e\u4f4e\u4e8e\u4e00\u9636\u8fce\u98ce\u683c\u5f0f\uff0c\u5177\u6709\u8f83\u9ad8\u7684\u7cbe\u5ea6\u3002\u5bf9\u4e8e\u5f3a\u70c8\u53d8\u5316\u7684\u6d41\u573a\uff0c\u4e8c\u9636\u8fce\u98ce\u5e38\u5e38\u4f1a\u4ea7\u751f\u6570\u503c\u632f\u8361\uff0c\u6b64\u65f6\u53ef\u91c7\u7528\u63a5\u8fd1\u4e8c\u9636\u7684\u6df7\u5408\u683c\u5f0f\u3002<\/p>\n

(c) \u6e4d\u6d41\u7269\u7406\u6a21\u578b\u7684\u9009\u53d6<\/h4>\n

\u5728\u5efa\u7b51\u8ba1\u7b97\u98ce\u5de5\u7a0b\u4e2d\uff0c\u91c7\u7528\u6bd4\u8f83\u591a\u7684\u6e4d\u6d41\u7269\u7406\u6a21\u578b\u6709RNG \u03ba-\u03b5\u3001SST \u03ba-\u03c9\u3001SSG-RSM\u3001BSL-RSM\u56db\u79cd\uff0c\u5b83\u4eec\u5206\u522b\u662f\u6807\u51c6\u03ba-\u03b5\u3001\u03ba-\u03c9\u6a21\u578b\u3001\u96f7\u8bfa\u5e94\u529b\u6a21\u578b\u7684\u6539\u8fdb\u6a21\u578b\uff0c\u5728\u5206\u79bb\u6d41\u3001\u65cb\u6da1\u7b49\u590d\u6742\u6d41\u573a\u6a21\u62df\u4e2d\u6709\u8f83\u5f3a\u529f\u80fd\u3002\u901a\u8fc7\u5bf9\u591a\u4e2a\u5927\u8de8\u5ea6\u5c4b\u76d6\u7684\u6570\u503c\u6a21\u62df\u4e0e\u98ce\u6d1e\u8bd5\u9a8c\u5bf9\u6bd4\uff0c\u5efa\u8bae\u5728\u6a21\u62df\u5efa\u7b51\u7269\u8868\u9762\u5e73\u5747\u98ce\u538b\u65f6\uff0c\u4e00\u822c\u91c7\u7528SST \u03ba-\u03c9\u6a21\u578b\u6216BSL-RSM\u96f7\u8bfa\u5e94\u529b\u6a21\u578b\u3002\u5f53\u5efa\u7b51\u7269\u4f53\u578b\u6bd4\u8f83\u590d\u6742\u6216\u8ba1\u7b97\u673a\u914d\u7f6e\u8f83\u4f4e\u65f6\uff0c\u4f18\u5148\u91c7\u7528SST \u03ba-\u03c9\u6a21\u578b\uff0c\u5f53\u5efa\u7b51\u7269\u4f53\u578b\u6bd4\u8f83\u89c4\u5219\u6216\u8ba1\u7b97\u673a\u914d\u7f6e\u8f83\u9ad8\u65f6\uff0c\u53ef\u91c7\u7528BSL-RSM\u96f7\u8bfa\u5e94\u529b\u6a21\u578b\u3002<\/p>\n

(d) \u7a33\u6001\u6570\u503c\u6a21\u62df\u7684\u8fb9\u754c\u6761\u4ef6<\/h4>\n

1\uff09\u5165\u53e3<\/p>\n

\u5728\u6570\u503c\u98ce\u6d1e\u5165\u53e3\u5904\uff0c\u901a\u5e38\u6307\u5b9a\u7b49\u6548\u7684\u5927\u6c14\u5c42\u8fb9\u754c\u3002\u5e73\u5747\u98ce\u901f\u901a\u8fc7\u5bf9\u6570\u7387\u6216\u6307\u6570\u7387\u7684\u5256\u9762\u5f97\u5230\uff0c\u5bf9\u6765\u6d41\u98ce\u65b9\u5411\u5730\u9762\u7684\u7c97\u7cd9\u957f\u5ea6z0\uff0c\u6307\u6570\u7387\u7684\u5e73\u5747\u98ce\u5256\u9762\u4e3a<\/p>\n

\\frac{\\bar{u}(z)}{\\bar{u_b}}={(\\frac{z}{z_b})}^\\alpha<\/span>
\n\u5176\u4e2d\uff0cub\u662fz=zb\u5904\u7684\u53c2\u8003\u901f\u5ea6\uff0c\u03b1\u662f\u5bf9\u5e94\u4e8e\u4e0d\u540c\u5730\u9762\u7c97\u7cd9\u5ea6\u7c7b\u522b\u7684\u6307\u6570\u3002<\/p>\n

\u5165\u53e3\u5904\u6e4d\u6d41\u5f3a\u5ea6\u8fb9\u754c\u6761\u4ef6\u53ef\u4ee5\u901a\u8fc7\u6e4d\u6d41\u9ecf\u6027\u6216\u6e4d\u52a8\u80fd\u4e0e\u6e4d\u6d41\u8017\u6563\u7387\u6765\u63cf\u8ff0\u3002\u5bf9\u4e24\u65b9\u7a0b\u6e4d\u6d41\u7269\u7406\u6a21\u578b\u6765\u8bf4\uff0c\u6e4d\u52a8\u80fd\u548c\u6e4d\u6d41\u8017\u6563\u7387\u53ef\u4ee5\u901a\u8fc7\u7b49\u6548\u8fb9\u754c\u5c42\u5047\u8bbe\u7ed9\u51fa\uff1a<\/p>\n

k\\left(z\\right)=1.5[I(z)u(z)]^2<\/span>
\n\\epsilon\\left(z\\right)=\\frac{C_\\mu^{0.75}{k(z)}^{1.5}}{l}<\/span>
\n\u5f0f\u4e2d\uff0cCu=0.09\uff0cI(z)\u662f\u5165\u53e3\u5904\u7684\u6e4d\u6d41\u5f3a\u5ea6\u5256\u9762\uff0c\u53ef\u4ee5\u53c2\u8003\u65e5\u672c\u6216\u6fb3\u5927\u5229\u4e9a\u89c4\u8303\u7b49\u56fd\u89c4\u8303\u9009\u53d6\uff0cuz\u662f\u5e73\u5747\u6d41\u901f\uff0cl\u662f\u5165\u53e3\u5904\u7684\u6e4d\u6d41\u7279\u5f81\u5c3a\u5ea6\uff0c\u53ef\u4ee5\u9009\u62e9\u4e3a\u5efa\u7b51\u7269\u7684\u9ad8\u5ea6\u3002<\/p>\n

2\uff09\u8ba1\u7b97\u57df\u9876\u58c1\u548c\u4fa7\u58c1\u9762\u7684\u8fb9\u754c<\/p>\n

\u8fd9\u4e9b\u8fb9\u754c\u4f4d\u7f6e\u8bbe\u7f6e\u4e3a\u81ea\u7531\u6ed1\u79fb\u58c1\u9762\u3002<\/p>\n

3\uff09\u51fa\u53e3<\/p>\n

\u7531\u4e8e\u51fa\u6d41\u63a5\u8fd1\u5b8c\u5168\u53d1\u5c55\uff0c\u91c7\u7528\u5b8c\u5168\u53d1\u5c55\u51fa\u6d41\u8fb9\u754c\u6761\u4ef6\uff0c\u5373\u6d41\u573a\u4efb\u610f\u7269\u7406\u91cf\u6cbf\u51fa\u53e3\u6cd5\u5411\u7684\u68af\u5ea6\u4e3a\u96f6\u3002<\/p>\n

4\uff09\u5efa\u7b51\u7269\u58c1\u9762\u548c\u5730\u9762<\/p>\n

\u91c7\u7528\u65e0\u6ed1\u79fb\u58c1\u9762\u3002\u4e3a\u4fdd\u8bc1\u58c1\u9762\u9644\u8fd1\u8fb9\u754c\u5c42\u7684\u5bf9\u6570\u8fd0\u7b97\u4e0d\u51fa\u9519\uff0c\u58c1\u9762\u9644\u8fd1\u7684\u7f51\u683c\u79bb\u5f00\u58c1\u9762\u6700\u8fd1\u7684\u8ba1\u7b97\u8282\u70b9\u5e94\u5f53\u7f6e\u4e8e\u79bb\u58c1\u9762\u8ddd\u79bb\u5927\u4e8e\u58c1\u9762\u7c97\u7cd9\u9ad8\u5ea6\u3002<\/p>\n

(e) \u6536\u655b\u6027\u53ca\u7ed3\u679c\u521d\u6b65\u5224\u5b9a<\/h4>\n

\u8fed\u4ee3\u8ba1\u7b97\u4ee5\u76f8\u90bb\u4e24\u6b65\u4e4b\u95f4\u7684\u6b8b\u5dee\u4e3a\u6536\u655b\u6807\u51c6\u3002\u6b8b\u5dee\u7684\u91cf\u7ea7\u4e00\u822c\u5728\u7b2c\u4e00\u6b21\u8fed\u4ee3\u540e\u5373\u53ef\u5f97\u5230\uff0c\u6700\u7ec8\u7684\u6b8b\u5dee\u5e94\u5f53\u8d8b\u4e8e\u96f6\u3002\u4e00\u822c\u60c5\u51b5\u4e0b\uff0c\u6b8b\u5dee\u4e0b\u964d4\u4e2a\u91cf\u7ea7\u5373\u53ef\u8ba4\u4e3a\u7ed3\u679c\u6536\u655b\u3002\u540c\u65f6\u53ef\u4ee5\u76d1\u6d4b\u611f\u5174\u8da3\u7684\u4f4d\u7f6e\uff0c\u8bb0\u5f55\u5f53\u5730\u7684\u6d41\u52a8\u53d8\u91cf\u3002\u5982\u679c\u8fd9\u4e9b\u53d8\u91cf\u8d8b\u4e8e\u5e38\u6570\uff0c\u8fd9\u4e2a\u533a\u57df\u7684\u89e3\u53ef\u4ee5\u8ba4\u4e3a\u5df2\u7ecf\u6536\u655b\u3002\u5728\u6570\u503c\u98ce\u6d1e\u7a33\u6001\u6a21\u62df\u4e2d\uff0c\u8ba1\u7b97\u7ed3\u679c\u4e00\u822c\u8981\u6ee1\u8db3\u4ee5\u4e0b\u51e0\u4e2a\u8981\u6c42\uff1a<\/p>\n

\uff081\uff09\u6765\u6d41\u8fdc\u573a\u98ce\u5256\u9762\u7684\u4fdd\u6301\u6027\uff1a\u5e73\u5747\u98ce\u901f\u5256\u9762\u9700\u4fdd\u6301\u4e0d\u53d8\uff0c\u6e4d\u6d41\u5f3a\u5ea6\u4e5f\u8fbe\u5230\u8fd1\u4f3c\u4fdd\u6301\u7684\u8981\u6c42\u3002<\/p>\n

\uff082\uff09\u6700\u540e\u7ed3\u679c\u5fc5\u987b\u91c7\u7528\u9ad8\u7cbe\u5ea6\u7684\u79bb\u6563\u683c\u5f0f\u8ba1\u7b97\u3002<\/p>\n

\uff083\uff09\u65e0\u6ed1\u79fb\u58c1\u9762\u4e0a\u5f97\u5230\u7684\u98ce\u901f\u5fc5\u987b\u4e3a\u96f6\u6216\u63a5\u8fd1\u96f6\uff0c\u4f7f\u7269\u7406\u8fb9\u754c\u6761\u4ef6\u5e94\u7528\u51c6\u786e\u3002<\/p>\n

\uff084\uff09\u6700\u7ec8\u89e3\u662f\u7f51\u683c\u65e0\u5173\u89e3\uff0c\u53ef\u901a\u8fc7\u7f51\u683c\u52a0\u5bc6\u6216\u7f51\u683c\u4f18\u5316\u5f97\u5230\u7f51\u683c\u65e0\u5173\u89e3\u3002<\/p>\n

(f) CFD\u6a21\u62df\u7684\u4e0d\u786e\u5b9a\u6027\u56e0\u7d20<\/h4>\n

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