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

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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 ] for structured meshes to… Click to show full abstract

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 ] for structured meshes to unstructured triangular meshes. The main idea of the limiting strategy is to divide the immediate neighbors of a given cell as subcells into the required stencil and to use a WENO reconstruction for limiting. This strategy can be applied for any type of WENO reconstruction. We have used the WENO reconstruction proposed in [ 2 ] and provided accuracy tests and results for two-dimensional Burgers’ equation and two dimensional Euler equations to illustrate the performance of this limiting strategy.

Keywords: discontinuous galerkin; limiting strategy; strategy; kutta discontinuous; runge kutta; compact subcell

Journal Title: Journal of Scientific Computing
Year Published: 2022

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