二维问题基于WENO重构和子单元的间断Galerkin重叠格式
A discontinuous Galerkin overset scheme using WENO reconstruction and subcells for two-dimensional problems
摘要：
本文提出了一种利用子单元和加权本质不振荡（WENO）重建技术实现重叠网格间通讯的新方法。使用间断Galerkin方法（DGM）证明了该方法的有效性。该方案使用WENO重建，通过将直接相邻单元划分为子单元来使用单元平均值，以找到溢出界面附近单元中的自由度。这还具有额外的优点，即如果不连续性穿过过盈界面，则其还用作限制器。精度测试，以证明维持较高的秩序。还提供了包含冲击的结果，以证明数据通信程序的限制器方面。
英文摘要：
A new scheme for communication between overset grids using subcells and Weighted Essentially Non Oscillatory (WENO) reconstruction for two-dimensional problems has been proposed. The effectiveness of this procedure is demonstrated using the discontinuous Galerkin method (DGM). This scheme uses WENO reconstruction using cell averages by dividing the immediate neighbors into subcells to find the degrees of freedom in cells near the overset interface. This also has the added advantage that it also works as a limiter if a discontinuity passes through the overset interface. Accuracy tests to demonstrate the maintenance of higher order are provided. Results containing shocks are also provided to demonstrate the limiter aspect of the data communication procedure.
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