网格非正交性对水流场模拟的影响
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摘要
为减少在建立网格模型时出现的畸形网格单元导致的较大的计算误差,研究网格非正交性对水流场模拟的影响,建立多种正交性不同的四边形网格模型,设置边界并且施加激励进行水流场模拟实验,得到水流场特征值.依据真实水流场数据,对水流场流速矢量以及水位进行误差分析,得出水流场误差与网格非正交性具有正相关性.该研究可为流场模拟提供一定的参考.
To reduce the larger calculation error resulting from some distorted grid units when establishing grid models,the effect of grid nonorthogonality on water flow field simulation is studied. Many kinds of quadrilateral grid models with different orthogonality are established. Through setting boundaries and applying excitation to conduct the flow field simulation experiment,the feature values of water flow field are obtained. The error analysis is made on the velocity vector and the water level of water flow field according to the real water flow field data. The positive correlation between the water flow field error and the grid nonorthogonality is got. The study can provide reference for flow field simulation.
To reduce the larger calculation error resulting from some distorted grid units when establishing grid models,the effect of grid nonorthogonality on water flow field simulation is studied. Many kinds of quadrilateral grid models with different orthogonality are established. Through setting boundaries and applying excitation to conduct the flow field simulation experiment,the feature values of water flow field are obtained. The error analysis is made on the velocity vector and the water level of water flow field according to the real water flow field data. The positive correlation between the water flow field error and the grid nonorthogonality is got. The study can provide reference for flow field simulation.
引文
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[2]王群,李爱平,马淑梅.局部网格狭长三角形的品质改善及实现[J].同济大学学报(自然科学版),2004,32(11):1508-1511.
[3]RIVARA M C,HITSCHFELD N,SIMPSON B.Terminal-edges Delaunay(small-angle based)algorithm for the quality triangulation(small-angle based)algorithm for the quality triangulation problem[J].Computer Aided Design,2001,33(3):263-277.
[4]FREITAG L,JONES M,PLASSMANN P.A parallel algorithm for mesh smoothing[J].SIAM Journal on Scientific Computing,1999,20(6):2023-2040.
[5]宫翔飞,张树道.Laplacian与局部优化方法相结合的网格光滑技术[J].北京理工大学学报,2010,30(5):616-621.
[6]姚彦忠,王瑞利,袁光伟.复杂区域上的一种结构网格生成方法[J].计算物理,2007,24(6):647-654.
[7]陈建军.基于模板法的全四边形有限元网格生成器的研制及网格质量的几何优化[D].杭州:浙江大学,2003.
[8]朱秀娟.有限元分析网格划分的关键技巧[J].机械工程与自动化,2009(1):185-186.
[9]张洪梅.三维六面体网格自适应生成算法研究及其应用[D].济南:山东大学,2007.
[10]但文蛟.基于分层发散思想的四边形网格生成算法研究与实现[D].杭州:浙江大学,2004.
[11]王晓建,张廷芳.非正交网格有限体积法在三维潮流场计算中的应用[J].水动力学研究与进展(A辑),1997,12(1):56-61.
[12]曹红梅,郭彦.计算网格质量评估方法[J].太原师范学院学报(自然科学版),2008,7(4):41-43.
[13]曾和义.网格质量对数值模拟的影响[M]//中国核学会.中国核科学技术进展报告(第一卷).北京:中国原子能出版社,2009:679-683.
[14]李佳.乐清湾环境水力特性研究[D].杭州:浙江大学,2010.
[15]杨成浩,廖光洪,罗锋,等.乐清湾的潮位、潮流和余流特征[J].海洋学研究,2010,28(2):1-12.