Schaffenberger Werner, Hanslmeier Arnold
Institute for Geophysics, Astrophysics, and Meterology, Universitätsplatz 5, A-8010 Graz, Austria.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Oct;66(4 Pt 2):046702. doi: 10.1103/PhysRevE.66.046702. Epub 2002 Oct 9.
We present a lattice Boltzmann model for the simulation of two-dimensional magnetohydro dynamic (MHD) flows. The model is an extension of a hydrodynamic lattice Boltzman model with 9 velocities on a square lattice resulting in a model with 17 velocities. Earlier lattice Boltzmann models for two-dimensional MHD used a bidirectional streaming rule. However, the use of such a bidirectional streaming rule is not necessary. In our model, the standard streaming rule is used, allowing smaller viscosities. To control the viscosity and the resistivity independently, a matrix collision operator is used. The model is then applied to the Hartmann flow, giving reasonable results.
我们提出了一种用于模拟二维磁流体动力学（MHD）流动的格子玻尔兹曼模型。该模型是在方形晶格上具有9个速度的流体动力学格子玻尔兹曼模型的扩展，从而得到一个具有17个速度的模型。早期用于二维MHD的格子玻尔兹曼模型使用双向流规则。然而，使用这种双向流规则并非必要。在我们的模型中，使用标准流规则，可实现更小的粘度。为了独立控制粘度和电阻率，使用了矩阵碰撞算子。然后将该模型应用于哈特曼流，得到了合理的结果。
