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As the theoretical model to be verified for the applicable coupling ratio, flows around a circular cylinder with the Reynolds number of Re=40 and 100 are calculated, respectively. The distribution of streamline, the length of wake vortex, and the drag coefficient are analyzed for the case of Re=40 with the 4-point Piecewise Delta function being adopted in IB, the calculating results indicate that an acceptable range for CRG is 0.2-2, it is also essentially true for the case of Re=100. However, a different CRG range of 1.5—2 is found while the 4-point Cosine Delta function is used, the fact indicates that the 4-point Piecewise Delta function has a wider range for setting CRG, it is of great value to the optimal choices for Delta function and corresponding CRG in the IB applications., authors=LI Hanjun, authorsList=LI Hanjun, authorCompany=School of Life Science, Beijing Institute of Technology, Beijing 100081, China, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=56nLtet25URlk/1p9YoBrw==, pdfFileSize=1688249, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1242129023489348226, articleId=1242129020905652388, 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浸入边界-格子Boltzmann模型耦合网格比数值特性
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浸入边界-格子Boltzmann模型耦合网格比数值特性
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李汉军
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    北京理工大学生命学院,北京 100081
The Numerical Character of Grid Coupling Ratio for the Immersed Boundary-Lattice Boltzmann Model
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出版时间: 2012-06-28 doi: 10.3981/j.issn.1000-7857.2012.18.002
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为对浸入边界-格子Boltzmann方法框架(IB-LBM)下浸入边界点数量的设置提供依据,本文采用雷诺数Re=40和100下的圆柱绕流作为理论验证模型,对不同耦合网格比CRG(Coupling Ratio of Grid)下的计算稳定性进行研究。分别采用Dp4-p(4-point Piecewise Delta)函数和Dc4-p(4-point Cosine Delta)函数作为平滑函数,通过分析Re=40圆柱绕流充分发展后的流线分布、尾涡长度和阻力系数等指标,获得了在Dp4-p下CRG的相对稳定范围大致为0.2—2之间,在Dc4-p下相对稳定范围大致为1.5—2之间。在Re=100下,通过细分CRG对圆柱绕流进行计算,对照阻力系数的变化,与Re=40时的情况基本一致,表明Dp4-p有更宽的稳定取值范围,这为IB应用过程中合理选择Delta函数及相应的CRG取值提供了参考。
浸入边界-格子Boltzmann模型  /  耦合网格比  /  圆柱绕流
In order to provide the foundation for immersed boundary points setting in the Immersed Boundary-Lattice Boltzmann Model (IB-LBM) frame, the numerical stability with the different Coupling Ratio of Grid (CRG) between the IB and LBM is studied. As the theoretical model to be verified for the applicable coupling ratio, flows around a circular cylinder with the Reynolds number of Re=40 and 100 are calculated, respectively. The distribution of streamline, the length of wake vortex, and the drag coefficient are analyzed for the case of Re=40 with the 4-point Piecewise Delta function being adopted in IB, the calculating results indicate that an acceptable range for CRG is 0.2-2, it is also essentially true for the case of Re=100. However, a different CRG range of 1.5—2 is found while the 4-point Cosine Delta function is used, the fact indicates that the 4-point Piecewise Delta function has a wider range for setting CRG, it is of great value to the optimal choices for Delta function and corresponding CRG in the IB applications.
immersed boundary-lattice Boltzmann model  /  coupling ratio of grid  /  flow around a circular cylinder
李汉军. 浸入边界-格子Boltzmann模型耦合网格比数值特性. 科技导报, 2012 , 30 (18) : 27 -31 . DOI: 10.3981/j.issn.1000-7857.2012.18.002
LI Hanjun. The Numerical Character of Grid Coupling Ratio for the Immersed Boundary-Lattice Boltzmann Model[J]. Science & Technology Review, 2012 , 30 (18) : 27 -31 . DOI: 10.3981/j.issn.1000-7857.2012.18.002
2012年第30卷第18期
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doi: 10.3981/j.issn.1000-7857.2012.18.002
  • 接收时间:2012-03-23
  • 首发时间:2012-06-28
  • 出版时间:2012-06-28
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  • 收稿日期:2012-03-23
  • 修回日期:2012-05-14
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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