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可缩算子的不变概率测度
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作者 郭新伟 《山东大学学报(理学版)》 CAS CSCD 北大核心 2003年第2期116-118,共3页
设T是复的可分Banach空间X上的一个可缩算子 ,若存在关于T不变的平方可积的概率测度m且m的支集张成X .那么T的幺模特征向量全体所张成X .
关键词 可缩算子 不变测度 幺模特征向量
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保测线性算子的一个注记 被引量:1
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作者 郭新伟 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2001年第1期11-15,共5页
研究了复的可分Lebesgue空间Lp(S ,∑ ,μ)上保测线性算子的谱性质 ,证明了在 1≤p≤ 2条件下 ,若m是关于T不变的非退化的Gauss测度 ,那么T的旋转特征向量全体张成全空间Lp(S ,∑ ,μ) .
关键词 不变测度 GAUSS测度 特征算子 可缩算子 旋转特征向量 线性算子
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COMPRESSIBLE FLOW SIMULATION AROUND AIRFOIL BASED ON LATTICE BOLTZMANN METHOD
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作者 钟诚文 李凯 +2 位作者 孙建红 卓从山 解建飞 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2009年第3期206-211,共6页
The flow around airfoil NACA0012 enwrapped by the body-fitted grid is simulated by a coupled doubledistribution-function (DDF) lattice Boltzmann method (LBM) for the compressible Navier-Stokes equations. Firstly, ... The flow around airfoil NACA0012 enwrapped by the body-fitted grid is simulated by a coupled doubledistribution-function (DDF) lattice Boltzmann method (LBM) for the compressible Navier-Stokes equations. Firstly, the method is tested by simulating the low Reynolds number flow at Ma =0. 5,a=0. 0, Re=5 000. Then the simulation of flow around the airfoil is carried out at Ma:0. 5, 0. 85, 1.2; a=-0.05, 1.0, 0.0, respectively. And a better result is obtained by using a local refined grid. It reduces the error produced by the grid at Ma=0. 85. Though the inviscid boundary condition is used to avoid the problem of flow transition to turbulence at high Reynolds numbers, the pressure distribution obtained by the simulation agrees well with that of the experimental results. Thus, it proves the reliability of the method and shows its potential for the compressible flow simulation. The suecessful application to the flow around airfoil lays a foundation of the numerical simulation of turbulence. 展开更多
关键词 compressible flow computational fluid dynamics lattice Boltzmann method AIRFOIL body-fitted grid
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