An extension of hybrid kinetic WENO method

HE Kang; LI Xinliang; LIU Hongwei

doi:10.7527/S1000-6893.2021.25909

ACTA AERONAUTICAET ASTRONAUTICA SINICA >

2022 , Vol. 43 >Issue 1: 625909 - 625909

DOI: https://doi.org/10.7527/S1000-6893.2021.25909

Special Topic of Shock/Boundary Layer Interation Mechanism and Control

An extension of hybrid kinetic WENO method

HE Kang ,
LI Xinliang ,
LIU Hongwei

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1. State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2021-06-03

Revised date: 2021-09-23

Online published: 2021-09-22

Supported by

National Key Research and Development Program of China (2019YFA0405300,2016YFA0401200);National Natural Science Foundation of China (91852203, 11472278)

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Abstract

An extension of the high-order WENO methods based on the gas-kinetic theory is carried out. The hybrid kinetic WENO method proposed in Int.J.Numer.Meth. Fluids 79(6),290-305(2015) is further extended to the 7th-order and the 9th-order cases. Within the framework of the 5th-order hybrid kinetic WENO method, the computational accuracy and efficiency of different shock detection techniques are compared. The TVD Runge-Kutta method is used for temporal integration, and the hybrid kinetic WENO method is employed for spatial discretization. Both one-dimensional and two-dimensional numerical examples are presented to show that the extended hybrid kinetic methods have higher resolution and less numerical dissipation than the traditional flux vector splitting technique, and can also have good shock-capturing ability. It is also found that the shock detection technology proposed by Ohwada et al. has good shock-detection ability and computational efficiency.

Key words： WENO reconstruction; gas kinetic theory; higher-order method; numerical dissipation; shock detection method

Cite this article

HE Kang , LI Xinliang , LIU Hongwei . An extension of hybrid kinetic WENO method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022 , 43(1) : 625909 -625909 . DOI: 10.7527/S1000-6893.2021.25909

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