A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws
By Yu-xin Ren, Miao'er Liu, Hanxin Zhang. 2003
384 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/5dc019d43ed93049ebe4b9436ee77e027c64c149
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In Applied Mathematics
- Yiqing Shen
- M. Pino Martín
- Minwei Wu
- Nikolaus A. Adams
- Xiangyu Y. Hu
- Wu Xiaoshuai
- Zhao Yuxin
- Guowei Yang
In Computational Mechanics
- Sergio Pirozzoli
- M. Pino Martín
- Nikolaus A. Adams
- Minwei Wu
- Xiangyu Y. Hu
- Yiqing Shen
- Wu Xiaoshuai
- Zhao Yuxin
Citations in the corpus
- A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence (2006, methodology): “Ren et al. [ 11 ] improve the hybrid compact-WENO scheme [10] by removing the abrupt switch between the compact and the shock-capturing schemes through the use of a weighted average of the two schemes.”
- Numerical Methods for High-Speed Flows (2011, methodology): “Further improvements to hybrid WENO schemes were introduced by Ren et al. (2003) and Hill & Pullin (2004).”
- A high‐resolution hybrid scheme for hyperbolic conservation laws (2015, methodology): “[11] concerning the turbulent fluctuation.”
- Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation (2005, background): “Introduction Compact high-order finite difference schemes which consider as unknowns at each discretization point not only the value of the function but also those of its first or higher derivatives have been extensively studied and widely used to compute problems involving incompressible, compressi”
- An adaptive central-upwind weighted essentially non-oscillatory scheme (2010, methodology): “One approach is to resort to hybrid methods, where a low-dissipation scheme is switched on or off depending on indicators reflecting the flow-field properties [2,14,15,11].”
- Hybrid finite compact‐WENO schemes for shock calculation (2007, methodology): “The wavelet-based flow sensors can be referred in References [8, 23].”