A Compact Subcell WENO Limiting Strategy Using Immediate Neighbors for Runge-Kutta Discontinuous Galerkin Methods for Unstructured Meshes

In this paper, we generalize the compact subcell weighted essentially non oscillatory (CSWENO) limiting strategy for Runge-Kutta discontinuous Galerkin method developed recently in [1] structured meshes to unstructured triangular meshes. The main idea of is divide immediate neighbors a given cell as subcells into required stencil and use WENO reconstruction limiting. This can be applied any type reconstruction. We have used proposed [2] provided accuracy tests results two-dimensional Burgers’ equation two dimensional Euler equations illustrate performance strategy.