提出一种基于WENO重构的高阶(至少三阶)移动网格动理学格式.利用流体力学方程的积分形式得到移动网格上离散格式,再利用自适应移动网格方法移动网格,进而得到网格速度,利用WENO重构得到高阶插值多项式,最后使用时间方向上精确的动理学数值方法构造数值通量,得到移动网格单元上新的物理量.数值实验表明这种格式同时具有高精度、高分辨率的特点.
Based on WENO reconstruction, a high-order (at least third order) moving mesh kinetic scheme is presented for compressible flows. It employs the frame of remapping-free ALE-type kinetic method to discrete Euler equation. Adaptive moving mesh approach is used to move meshes. Kinetic flux evolution is used to construct numerical fluxes in order to achieve their time-accuracy. Numerical results demonstrate accuracy and robustness of the scheme.