A high-resolution, hybrid compact-WENO scheme with minimized dispersion and controllable dissipation

• Published in: Science China. Physics, mechanics & astronomy Vol. 57; no. 5; pp. 971 - 982
• Main Authors: Sun, ZhenSheng, Hu, Yu, Luo, Lei, Zhang, ShiYing, Yang, ZhengWei
• Format: Journal Article
• Language: English
• Published: Heidelberg Science China Press 01.05.2014; Springer Nature B.V
• Subjects: Approximation; Astronomy; Classical and Continuum Physics; Controllability; Dispersions; Dissipation; Finite difference method; High resolution; Mathematical analysis; Observations and Techniques; Physics; Physics and Astronomy; Spectra; Stability; Wave propagation; WENO格式; 分散性; 可控; 最小化; 混合动力; 紧凑; 耗散; 高分辨率; nonlinear spectral analysis; spectral optimization; shock-capturing schemes; binaries: high-resolution schemes

In this paper, a high-resolution, hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique. Firstly, a sufficient condition for a family oftri-diagonal compact schemes to have independent dispersion and dissipation is derived. Th...