Banach空间中的kUKK性质

给出Banach空间X的一个新的几何性质—kUKK,证明了具有该性质的Banach空间X具有弱Banach-Saks性质;Banach空间X是kNUC的充分必要条件是自反且具有kUKK性质;鉴于几何常数在Banach空间几何性质中扮演的重要角色,由kUKK的定义给出了新常数R_2(X)的定义,并证明了当R_2(X)k时,Banach空间X具有弱不动点性质;最后计算R_2(X)在Cesaro序列空间中的具体值.     

Numerical investigation on a transition prediction model

A new transition prediction model is introduced,which couples the intermittency effect into the turbulence transport equations and takes the characteristics of fluid transition into consideration to mimic the exact process of transition.Test cases include a two-dimensional incompressible plate and a two-dimensional NACA0012 airfoil.Performance of this transition model for incompressible flows is studied,with numerical results consistent to experimental data.The requirement of grid resolution for this transition model is also studied.     

关于一个新型转捩模式的研究与应用

采用了新型的转捩预测模式,将间歇因子耦合到湍流脉动输运方程中去,计及流体转捩的内在因素,因而能够反映转捩的具体发展过程.以二维不可压平板边界层和二维NACA0012翼型为例,研究了该转捩模式在预测不可压转捩流动时的作用,得到与实验值符合良好的计算结果.同时也研究了该转捩模式在不同网格分辨率下的计算能力和对近壁面网格分辨率的要求.