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多组份流体质量扩散的格子Boltzmann方法

MULTISPECIES LATTICE-BOLTZMANN MODELS FOR MASS DIFFUSION 1)

  • 摘要: 建立了多组份流体、多速度格子Boltzmann模型.利用Chapman-Enskog渐近展开法推导了流体质量扩散方程和运动方程,并且给出了相应的扩散系数和粘性系数表达式.通过正弦波的衰减过程测量了两流体间的扩散系数.测量值与理论预测值相吻合.作为本模型的一个应用实例,对圆形区域内的静止流体在具有均匀来流速度的另外一种流体中的对流扩散问题进行了数值模拟.

     

    Abstract: A multispecies, multispeed lattice Boltzmann model is presented to study the mass diffusion properties. We introduce the particles with different speed and different species. The particles of same species have same mass and speed. At each node the total momentum of all particles and the partial masses of the particles of same species are conserved. Using the Chapman-Enskog method, we have derived from the BGK Boltzmann equation the macroscopique conservation equations that yield the N-S equation and partial...

     

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