A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis

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A high-order accurate hybrid central-WENO scheme is proposed. The fifth order WENO scheme [G.S. Jiang, C.W. Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys. 126 (1996) 202 228] is divided into two parts, a central flux part and a numerical dissipation part, and is coupled with a central flux scheme. Two sub-schemes, the WENO scheme and the central flux scheme, are hybridized by means of a weighting function that indicates the local smoothness of the flowfields. The derived hybrid central-WENO scheme is written as a combination of the central flux scheme and the numerical dissipation of the fifth order WENO scheme, which is controlled adaptively by a weighting function. The structure of the proposed hybrid central-WENO scheme is similar to that of the YSD-type filter scheme [H.C. Yee, N.D. Sandham, M.J. Djomehri, Low-dissipative high-order shock-capturing methods using characteristic-based filters, J. Comput. Phys. 150 (1999) 199-238]. Therefore, the proposed hybrid scheme has also certain merits that the YSD-type filter scheme has. The accuracy and efficiency of the developed hybrid central-WENO scheme are investigated through numerical experiments on inviscid and viscous problems. Numerical results show that the proposed hybrid central-WENO scheme can resolve flow features extremely well. (c) 2005 Elsevier Inc. All rights reserved.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2005-12
Language
English
Article Type
Article
Keywords

SHOCK-TURBULENCE INTERACTION; EFFICIENT IMPLEMENTATION; NUMERICAL DISSIPATION; CAPTURING SCHEMES; UNSTEADY FLOWS; RESOLUTION; SIMULATION; FILTERS

Citation

JOURNAL OF COMPUTATIONAL PHYSICS, v.210, no.2, pp.554 - 583

ISSN
0021-9991
DOI
10.1016/j.jcp.2005.04.023
URI
http://hdl.handle.net/10203/4900
Appears in Collection
AE-Journal Papers(저널논문)
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