High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws

Author:

Guo Jia12,Zhu Huajun2,Yan Zhen-Guo2ORCID,Tang Lingyan1,Song Songhe1

Affiliation:

1. College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, Hunan 410073, China

2. State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang, Sichuan 621000, China

Abstract

By introducing hybrid technique into high-order CPR (correction procedure via reconstruction) scheme, a novel hybrid WCNS-CPR scheme is developed for efficient supersonic simulations. Firstly, a shock detector based on nonlinear weights is used to identify grid cells with high gradients or discontinuities throughout the whole flow field. Then, WCNS (weighted compact nonlinear scheme) is adopted to capture shocks in these areas, while the smooth area is calculated by CPR. A strategy to treat the interfaces of the two schemes is developed, which maintains high-order accuracy. Convergent order of accuracy and shock-capturing ability are tested in several numerical experiments; the results of which show that this hybrid scheme achieves expected high-order accuracy and high resolution, is robust in shock capturing, and has less computational cost compared to the WCNS.

Funder

State Key Laboratory of Aerodynamics

Publisher

Hindawi Limited

Subject

Aerospace Engineering

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