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具多种边界条件的3维Navier-Stokes方程的吸引子维数估计 被引量:1
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作者 郭秀兰 李万军 李功胜 《应用数学》 CSCD 北大核心 2007年第1期203-212,共10页
本文在3维薄区域Ωε=ω×(0,ε)上讨论Navier-Stokes方程吸引子的Hausdorff维数.首先对六种不同空间边界条件,分3类给出吸引子维数估计;然后针对其中一种做进一步讨论,得到更精细估计,使得吸引子维数与区域厚度ε的依赖关系明显化.
关键词 navie-stokes方程 3维薄区域 吸引子 HAUSDORFF维数
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Effect of Mathematical Models on Experimental Data for the Gas and Liquids
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作者 Evelina V. Prozorova 《Journal of Mechanics Engineering and Automation》 2016年第6期313-318,共6页
The new analysis of the influence the method of calculating macro-parameters to experimental data is made for the mixture a rarefied gas and gas with internal degrees of freedom. The delay process is counted, which is... The new analysis of the influence the method of calculating macro-parameters to experimental data is made for the mixture a rarefied gas and gas with internal degrees of freedom. The delay process is counted, which is important in describing of the discrete space and in describing the relaxation of the complicated molecules. The analysis of the recording the Lagrangian function for the collective interaction of the particles is made with counting of changing position of the inertia center. This equation should have a modified Liouville equation and the Boltzmann equation. General consideration of all effects gives us cumbrous system of equations. New another definition of temperature is obtained for molecules with vibration and rotation degree of freedom and for mixture. This is making another value for pressure of the mixture a rarefied gas and gas with internal degrees of freedom. Probably, exactly, these values are measured in all experiments. The simplest interaction of two homogeneous flows is studied which move in the same direction at different speeds. 展开更多
关键词 Angular momentum conservation laws non-symmetrical stress tensor Boltzmann equations Chapman-Enskog method conjugate problem the navie-stokes.
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“回收/调节”方法在混合LES/RANS模拟方法中的应用 被引量:5
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作者 陈逖 刘卫东 +1 位作者 范晓樯 孙明波 《航空动力学报》 EI CAS CSCD 北大核心 2011年第6期1215-1222,共8页
采用一种混合大涡模拟/雷诺平均Navier-Stokes(LES/RANS)模拟方法结合三阶加权基本无振荡(WENO)格式对马赫数为2.88的压缩斜坡流动进行了数值模拟,并采用"回收/调节"方法生成入口湍流脉动边界条件.当采用固定入口边界条件时,... 采用一种混合大涡模拟/雷诺平均Navier-Stokes(LES/RANS)模拟方法结合三阶加权基本无振荡(WENO)格式对马赫数为2.88的压缩斜坡流动进行了数值模拟,并采用"回收/调节"方法生成入口湍流脉动边界条件.当采用固定入口边界条件时,湍流边界层会缺乏合理的湍流能量,使之抵抗逆压梯度的能力减弱,会严重高估分离区的大小;而当采用"回收/调节"方法时,可以在10倍来流边界层厚度的距离内激励起湍流大尺度结构,计算得到的流场能够再现激波/湍流边界层干扰流场的非定常特性,时间及展向平均壁面压力和试验值吻合较好. 展开更多
关键词 混合大涡模拟/雷诺平均navie-stokes(LES/RANS) 加权基本无振荡(WENO)格式 “回收/调节”方法 入口湍流脉动边界条件 激波/湍流边界层干扰
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