Year: 2014
Communications in Computational Physics, Vol. 16 (2014), Iss. 4 : pp. 1116–1134
Abstract
In [SIAM J. Sci. Comput., 35(2)(2013), A1049–A1072], a class of multi-domain hybrid DG and WENO methods for conservation laws was introduced. Recent applications of this method showed that numerical instability may encounter if the DG flux with Lagrangian interpolation is applied as the interface flux during the moment of conservative coupling. In this continuation paper, we present a more robust approach in the construction of DG flux at the coupling interface by using WENO procedures of reconstruction. Based on this approach, such numerical instability is overcome very well. In addition, the procedure of coupling a DG method with a WENO-FD scheme on hybrid meshes is disclosed in detail. Typical testing cases are employed to demonstrate the accuracy of this approach and the stability under the flexibility of using either WENO-FD flux or DG flux at the moment of requiring conservative coupling.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.060313.300514a
Communications in Computational Physics, Vol. 16 (2014), Iss. 4 : pp. 1116–1134
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
-
A priori subcell limiting based on compact nonuniform nonlinear weighted schemes of high-order CPR method for hyperbolic conservation laws
Zhu, Huajun
Liu, Huayong
Yan, Zhen-Guo
Shi, Guoquan
Deng, Xiaogang
Computers & Fluids, Vol. 241 (2022), Iss. P.105456
https://doi.org/10.1016/j.compfluid.2022.105456 [Citations: 4]