TY - JOUR T1 - Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes JO - Communications in Computational Physics VL - 3 SP - 985 EP - 1005 PY - 2012 DA - 2012/11 SN - 11 DO - http://doi.org/10.4208/cicp.300810.240511a UR - https://global-sci.org/intro/article_detail/cicp/7398.html KW - AB -

This paper further considers weighted essentially non-oscillatory (WENO) and Hermite weighted essentially non-oscillatory (HWENO) finite volume methods as limiters for Runge-Kutta discontinuous Galerkin (RKDG) methods to solve problems involving nonlinear hyperbolic conservation laws. The application discussed here is the solution of 3-D problems on unstructured meshes. Our numerical tests again demonstrate this is a robust and high order limiting procedure, which simultaneously achieves high order accuracy and sharp non-oscillatory shock transitions.