Anti-diffusive flux corrections for high order finite difference WENO schemes

By Zhengfu Xu, Chi-Wang Shu. 2005

182 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/66fdb8b5432c1746799b1ca9d85d4643e4e4596c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Lin Fu (Associate Professor)
2. Nikolaus A. Adams
3. Xiangyu Y. Hu
4. Wu Xiaoshuai
5. Zhao Yuxin
6. Chi-Wang Shu
7. Jianxian Qiu
8. Michael Dumbser

In Computational Mechanics

1. Xiangyu Y. Hu
2. Nikolaus A. Adams
3. Lin Fu (Associate Professor)
4. Wu Xiaoshuai
5. Zhao Yuxin
6. Chi-Wang Shu
7. Sergio Pirozzoli
8. Jianxian Qiu

Citations in the corpus

• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems (2009, methodology): “Strategies to improve the resolution of contact discontinuities for high order WENO schemes include the artificial compressibility method [180, 78], subcell resolution [64, 78], and the antidiffusive flux correction method [42, 175].”
• A family of high-order targeted ENO schemes for compressible-fluid simulations (2016, methodology): “Extensive studies with DNS and LES can be found in Brachet et al. (1983)Shu et al. (2005)Hickel et al. (2006).”
• A high‐resolution hybrid scheme for hyperbolic conservation laws (2015, background): “Rayleigh–Taylor instability This problem has been simulated extensively by many authors [20, 21] to assess the inherent numerical viscosities of the numerical schemes.”