A sign preserving WENO reconstruction method
Provides a more robust WENO reconstruction for constructing high-resolution entropy stable schemes in computational fluid dynamics.
The authors propose a third-order WENO reconstruction method that satisfies the sign property for entropy stable finite difference schemes, demonstrating robustness over ENO schemes through numerical experiments for conservation laws.
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.