Weighted Compact Scheme for Shock Capturing
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Publication:2755490
DOI10.1080/10618560108970024zbMath1044.76046OpenAlexW2025612605MaRDI QIDQ2755490
Chaoqun Liu, Hua Shan, Li Jiang
Publication date: 26 February 2002
Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10618560108970024
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20)
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Cites Work
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Shock capturing with Padé methods
- Compact finite difference schemes with spectral-like resolution
- Weighted essentially non-oscillatory schemes
- Efficient implementation of weighted ENO schemes
- A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems