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High-order adapter schemes for cell-centered finite difference method
Liao F(廖飞); He GW(何国威)
Corresponding AuthorHe, Guowei(hgw@lnm.imech.ac.cn)
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
2020-02-15
Volume403Pages:25
ISSN0021-9991
AbstractThe present paper proposes that reconstruction scheme and interpolation scheme can be converted into each other through two series of adapter schemes, which include reconstruction-to-interpolation (RI) adapter schemes and interpolation-to-reconstruction (IR) adapter schemes. For the high-order spatial discretization of the compressible Navier-Stokes equations, the RI adapter schemes can be used to derive interpolation schemes for the interpolation-based cell-centered finite difference method from the available optimized reconstruction schemes. The main advantage of the interpolation-based cell-centered finite difference method is the capability to realize high-order discretization on curvilinear grids with both shock-capturing capability and satisfaction of the geometric conservation law. In the present paper, we first derive the IR adapter schemes by comparing the difference schemes with their strong conservative forms. We then develop the corresponding RI adapter schemes by inversing the IR adapter schemes. Thereafter, the applications to the one-dimensional linear wave equation and the one-dimensional inviscid Burgers' equation have been briefly discussed. Finally, to demonstrate the application to three-dimensional Navier-Stokes equations, three highly optimized nonlinear reconstruction schemes are adapted into the corresponding interpolation ones through RI adapter schemes, which include WENO-CU6, WGVC-WEN07 and OMP6 schemes. The new interpolation schemes from adapters are compared with their original reconstruction ones through several benchmark cases. No noticeable robustness loss or accuracy loss has been found in these cases, indicating the effectiveness of the adapter schemes. No obvious increase in time cost has been observed, indicating the efficiency of the adapter schemes. (C) 2019 Elsevier Inc. All rights reserved.
KeywordHigh-order scheme Geometric conservation law Finite difference method Adapter scheme Multiblock grids
DOI10.1016/j.jcp.2019.109090
Indexed BySCI
Language英语
WOS IDWOS:000503737000016
WOS KeywordGEOMETRIC CONSERVATION LAW ; SHOCK ; WENO
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
Funding ProjectNational Natural Science Foundation of China[11572331] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDB22040104] ; Key Research Program of Frontier Sciences of Chinese Academy of Sciences[QYZDJ-SSW-SYS002]
Funding OrganizationNational Natural Science Foundation of China ; Strategic Priority Research Program of Chinese Academy of Sciences ; Key Research Program of Frontier Sciences of Chinese Academy of Sciences
Classification一类/力学重要期刊
Ranking1
ContributorHe, Guowei
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/81269
Collection非线性力学国家重点实验室
AffiliationChinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Liao F,He GW. High-order adapter schemes for cell-centered finite difference method[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2020,403:25.
APA 廖飞,&何国威.(2020).High-order adapter schemes for cell-centered finite difference method.JOURNAL OF COMPUTATIONAL PHYSICS,403,25.
MLA 廖飞,et al."High-order adapter schemes for cell-centered finite difference method".JOURNAL OF COMPUTATIONAL PHYSICS 403(2020):25.
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