辐射流体力学的分子动理学自适应加密方法(英文)

Adaptive Mesh Refinement Kinetic Scheme for Equations of Radiation Hydrodynamics

通过构造新的平衡分布函数和结合分区自适应网格加密方法,对不带扩散项的平衡辐射流体力学方程,构造二阶的分子动理学BGK-AMR格式.一方面在关心的计算区域中局部加密计算网格,提高计算精度的同时大大节省了计算网格数量和计算时间;另一方面,不同于已有的参数强耦合平衡分布函数,新构造的平衡分布函数中各参数不相互依赖,简化了辐射流体力学分子动理学格式的计算.一维和二维的数值算例显示了格式的性能.

By using kinetic BGK scheme with new Maxiwellian distribution function and block-structured adaptive mesh refinement （AMR） algorithm, we construct a second-order BGK-AMR scheme for radiation hydrodynamics equation （RHE） in zero diffusion limit. Merits of the scheme are that we can reduce computational meshes and put more refinement meshes on location where should be concerned mostly, at the same time computational time is reduced greatly comparing with uniform finer meshes. And comparing with old Maxiwellian distribution for kinetic scheme of radiation hydrodynamics, parameters in new Maxwellian function are deeoupled, so construction of the scheme is simplified greatly. One- and two-dimensional numerical examples demonstrate performance of the scheme.