A compact subcell WENO (CSWENO) limiter is proposed for the solution of hyperbolic conservation laws with Discontinuous Galerkin Method which uses only the immediate neighbors of a given cell. These neighbors are divided into the required stencil for WENO reconstruction and an existing WENO limiting strategy is used. Accuracy tests and results for one-dimensional and two-dimensional Burgers equation and one-dimensional and two-dimensional Euler equations for Cartesian meshes are presented using this limiter. Comparisons with the parent WENO limiter are provided wherever appropriate and the performance of the current limiter is found to be slightly better than the parent WENO limiter for higher orders.

中文翻译：

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Runge-Kutta 不连续伽辽金方法的使用直接邻居的紧凑子单元 WENO 限制策略

提出了一种紧凑子单元 WENO (CSWENO) 限制器，用于使用不连续伽辽金方法求解双曲线守恒定律，该方法仅使用给定单元的直接邻居。这些邻居被划分为 WENO 重建所需的模板，并使用现有的 WENO 限制策略。使用此限制器可提供一维和二维 Burgers 方程以及笛卡尔网格的一维和二维 Euler 方程的精度测试和结果。在适当的地方提供了与母 WENO 限制器的比较，发现电流限制器的性能略好于更高阶的母 WENO 限制器。