@Article{CiCP-11-985, author = {}, title = {Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {3}, pages = {985--1005}, abstract = {

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. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.300810.240511a}, url = {http://global-sci.org/intro/article_detail/cicp/7398.html} }