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An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations
Peng J(彭峻)1,2; Zhai CL1; Ni GX1; Yong H1; Shen YQ(申义庆)2
Source PublicationCOMPUTERS & FLUIDS

Due to its excellent shock-capturing capability and high resolution, the WENO scheme family has been widely used in varieties of compressive flow simulation. However, for problems containing strong shocks and contact discontinuities, such as the Lax shock tube problem, the WENO scheme still produces numerical oscillations. To avoid such numerical oscillations, the characteristic-wise construction method should be applied. Compared to component-wise reconstruction, characteristic-wise reconstruction leads to much higher computational cost and thus is not suitable for large scale simulation such as direct numerical simulation of turbulence. In this paper, an adaptive characteristic-wise reconstruction WENO-Z scheme, i.e. the AdaWENO-Z scheme, is proposed to improve the computational efficiency of the characteristic-wise reconstruction method. By defining shared smoothness functions, shared smoothness indicators as well as shared WENO weights are firstly introduced to reduce the computational cost of the component-wise reconstruction procedure and to define a global switch function capable of detecting discontinuity. According to the given switch function, the new scheme performs characteristic-wise reconstruction near discontinuities and switches to component-wise reconstruction for smooth regions. Several one dimensional and two dimensional numerical tests are performed to validate and evaluate the AdaWENO-Z scheme. Numerical results show that AdaWENO-Z maintains essentially non-oscillatory flow field near discontinuities as with the characteristic-wise reconstruction method. Besieds, compared to the component-wise reconstruction method, AdaWENO-Z is about 20% to 40% faster which indicates its excellent efficiency. (C) 2018 Published by Elsevier Ltd.

KeywordWENO scheme Characteristic-wise reconstruction Adaptive method Euler equations
Indexed BySCI ; EI
WOS IDWOS:000467514000004
WOS Research AreaComputer Science ; Mechanics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mechanics
Funding ProjectSCP[TZ2016002] ; NSAF[U1530145] ; Postdoctoral Science Foundation of China[2017M610822]
Funding OrganizationSCP ; NSAF ; Postdoctoral Science Foundation of China
ContributorYong, Heng
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Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China;
2.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Peng J,Zhai CL,Ni GX,et al. An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations[J]. COMPUTERS & FLUIDS,2019,179:34-51.
APA Peng J,Zhai CL,Ni GX,Yong H,&Shen YQ.(2019).An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations.COMPUTERS & FLUIDS,179,34-51.
MLA Peng J,et al."An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations".COMPUTERS & FLUIDS 179(2019):34-51.
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