论文标题
使用二维Euler方程的填充网格使用不连续的Galerkin方法进行冲击捕获
Shock capturing with discontinuous Galerkin Method using Overset grids for two-dimensional Euler equations
论文作者
论文摘要
已经提出了一种新的捕获冲击的程序，并使用不连续的盖金方法和覆盖网格证明了二维Euler方程的解。使用粗网格的不连续的Galerkin求解器提供了用于确定冲击位置的故障单元格数据。基于此信息构建了与冲击相一致的收缩网格。用粗网格解决方案再次运行求解器，作为初始条件，仅在填充网格中出现，以给出与电网线对齐的溶液。在坡道上进行超音速流的结果，减震反射平板，并在圆形圆柱体上的超音速流。对于圆柱体上的流量，使用现有的分析方法来验证获得的结果，以计算冲击偏移距离。
A new procedure to capture the shocks has been proposed and is demonstrated for the solutions of two-dimensional Euler equations using discontinuous Galerkin method and overset grids. A discontinuous Galerkin solver using a coarse grid provides the troubled cell data that is used to determine the location of the shock. An overset grid aligned to the shock is constructed based on this information. The solver is run again with the coarse grid solution as the initial condition with limiting occurring only in the overset grid to give a solution with the shock aligned to the grid line. Results for supersonic flow over a ramp, shock reflecting off a flat plate and the supersonic flow over a circular cylinder are presented. For the flow over a circular cylinder, the results obtained are validated using an existing analytical method for calculating the shock offset distance.
