Volume 11, Issue 3
Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

Jun Zhu & Jianxian Qiu

Commun. Comput. Phys., 11 (2012), pp. 985-1005.

Published online: 2012-11

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  • 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. 

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@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} }
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. 

Jun Zhu & Jianxian Qiu. (2020). Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes. Communications in Computational Physics. 11 (3). 985-1005. doi:10.4208/cicp.300810.240511a
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