| 不可压缩粘性流SU/PG有限元之N-R迭代格式 |
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| 引用本文： | 魏泳涛,于建华,曹叔尤. 不可压缩粘性流SU/PG有限元之N-R迭代格式[J]. 核动力工程, 2003, 24(2): 112-116 |
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| 作者姓名： | 魏泳涛 于建华 曹叔尤 |
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| 作者单位： | 四川大学水利工程博士后流动站,成都,610065 |
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| 基金项目： | 四川大学青年研究基金资助，高速水力学国家重点实验室(四川大学)开放基金资助(0103) |
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| 摘 要： | 对不可压缩粘支流建立了SU／PG有限元的Newton-Raphson同步迭代算法，完成 了相应矩阵公式的推导；重新确定了SU／PG中的人工扩散因子；借助面向对象方法开发了相应的计算程序。通过充分发展管流的数值解与理论解的对比。表明本文算法的可行性，并完成了沿后台阶流动现象的数值模拟，得到了不同雷诺数下出口断面的速度分布。
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| 关 键 词： | 不可压缩 粘性流 SU／PG有限元 Newton－Raphson迭代 |
| 文章编号： | 0258-0926(2003)02-0112-05 |
| 修稿时间： | 2001-09-04 |
N-R Iteration of SU/PG FEM for Incompressible Viscous Flow |
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| WEI Yong-tao,YU Jian-hua,CAO Shu-you. N-R Iteration of SU/PG FEM for Incompressible Viscous Flow[J]. Nuclear Power Engineering, 2003, 24(2): 112-116 |
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| Authors: | WEI Yong-tao YU Jian-hua CAO Shu-you |
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| Abstract: | For incompressible viscous flow, the Newton-Raphson synchronous iteration method of SU/PG FEM was established, and the matrix formulations were derived in detail. A new algorithm was employed to determine the artificial diffusion factor in SU/PG. The object-oriented approach was intro-duced in program development. Via comparing the numeric results with theoretical results of the suffi-ciently developed tube flow, the proposed method was demonstrated. Finally, the numeric simulation of fluid flowing past backward-facing step was carried out and the horizontal velocity distribution at outlet under different Reynolds number was obtained. |
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| Keywords: | Incompressible viscous flow Viscous flow SU/PG FEM Newton-Raphson iteration |
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