An Improved Third-order CWENO-Z Scheme at critical points

2019 2nd International Conference on Advanced Materials, Intelligent Manufacturing and Automation

Tang, Shujiang^1^2 ; Li, Mingjun^1 ; Han, Shuang^1

School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan

411105, China^1

Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan, Hunan

411105, China^2

关键词: Entropy waves;    Extreme points;    Improved scheme;    Rayleigh-Taylor instabilities;    Riemann problem;    Strong discontinuity;    Third order;    Two parameter;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/569/3/032031/pdf
DOI  :  10.1088/1757-899X/569/3/032031

来源: IOP

【 摘 要 】

In this paper, by modifying the smoothness factor of the third-order CWENO scheme, we present the two-parameter CWENO-NZ3 scheme to improve accuracy at critical points. We selected some classical examples for numerical simulation, such as one-dimensional Sod shock tube, Shock-entropy wave interaction, Riemann problem with strong discontinuity and Rayleigh-Taylor instability problem. Numerically comparing with the classical third-order CWENO schemes, it is found that the improved schemes not only improve accuracy and resolution at the extreme points, but also reduce dissipation.