Symmetry-preserving WENO limiters
Computational Physics
2019-08-22 v1
Abstract
Weighted essentially non-oscillatory (WENO) reconstruction schemes are presented that preserve cylindrical symmetry for radial flows on an equal-angle polar mesh. These new WENO schemes are used with a Lagrangian discontinuous Galerkin (DG) hydrodynamic method. The solution polynomials are reconstructed using the WENO schemes where the DG solution is the central stencil. A suite of challenging test problems are calculated to demonstrate the accuracy and robustness of the new WENO schemes.
Keywords
Cite
@article{arxiv.1908.07698,
title = {Symmetry-preserving WENO limiters},
author = {Xiaodong Liu and Nathaniel R. Morgan and Donald E. Burton},
journal= {arXiv preprint arXiv:1908.07698},
year = {2019}
}