A Hybrid WENO Scheme for Resolution Optimization

doi:10.19596/j.cnki.1001-246x.7664

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2018, Vol. 35 ›› Issue (4): 397-404.DOI: 10.19596/j.cnki.1001-246x.7664

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A Hybrid WENO Scheme for Resolution Optimization

GUO Yuan¹, TIAN Qi¹, LIANG Xian¹, LI Xinliang^2,3

1. School of Mathematics and Information Science, Beifang University for Nationalities, Yinchuan 750021, China;
2. School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China;
3. State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Received:2017-03-23 Revised:2017-05-25 Online:2018-07-25 Published:2018-07-25

Abstract

Abstract: To improve finite difference scheme, Fourier analysis is used to optimize dispersion and dissipation of WENO scheme. And optimal linear weights are given. A class of hybrid schemes is designed by combing optimized WENO schemes with monotonicity-preserving scheme. A weighted hybrid WENO scheme(H-WENO) is obtained. The scheme is tested with one-dimensional shock tube problem, Shu-Osher problem, two-dimensional Mach reflection problem and R-T instability problem. It shows that the scheme has strong ability to capture shock wave and high resolution for small scale wave structure, which is improved obviously compared with original WENO scheme.

Key words: hybrid scheme, numerical dissipation, numerical dispersion, monotonicity-preserving, optimize

CLC Number:

O354.5

GUO Yuan, TIAN Qi, LIANG Xian, LI Xinliang. A Hybrid WENO Scheme for Resolution Optimization[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 35(4): 397-404.

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A Hybrid WENO Scheme for Resolution Optimization

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