论文标题
具有PRANDTL编号校正的血浆的两流体模型
A Two-fluid Model for Plasma with Prandtl Number Correction
论文作者
论文摘要
使用力矩模型还原方法从等离子体动力学方程得出了两流体模型。我们采用的力矩方法最近是通过全球双曲线正规化开发的，在该全球双曲线正规化中，所达到的时刻模型在局部时间范围很好。基于具有良好的双曲线矩模型，麦克斯韦迭代方法用于获得所得两流体模型的闭合关系。通过在Maxwellian迭代中取下Shakhov碰撞算子，两流体模型从等离子体动力学方程继承了正确的PrandTL数字。新模型与五矩两流体模型的正式相同，除了闭合关系，其中压力张量是各向异性的，并且呈现热通量。这为模型提供了描述各向异性压力张量和大热通量问题的能力。
A two-fluid model is derived from the plasma kinetic equations using the moment model reduction method. The moment method we adopt was recently developed with a globally hyperbolic regularization where the moment model attained is locally well-posed in time. Based on the hyperbolic moment model with well-posedness, the Maxwellian iteration method is utilized to get the closure relations for the resulted two-fluid model. By taking the Shakhov collision operator in the Maxwellian iteration, the two-fluid model inherits the correct Prandtl number from the plasma kinetic equations. The new model is formally the same as the five-moment two-fluid model except for the closure relations, where the pressure tensor is anisotropic and the heat flux is presented. This provides the model the capacity to depict problems with anisotropic pressure tensor and large heat flux.
