A sign preserving WENO reconstruction method
arXiv:1510.09038 · doi:10.1007/s10915-015-0128-y
Abstract
We propose a third-order WENO reconstruction which satisfies the sign property, required for constructing high resolution entropy stable finite difference scheme for conservation laws. The reconstruction technique, which is termed as SP-WENO, is endowed with additional properties making it a more robust option compared to ENO schemes of the same order. The performance of the proposed reconstruction is demonstrated via a series of numerical experiments for linear and nonlinear scalar conservation laws. The scheme is easily extended to multi-dimensional conservation laws.
Accepted for publication by Springer Journal of Scientific Computing