A low dissipative and dispersive scheme with a high order WENO dissipation for unsteady flow analyses

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General shock-capturing schemes such as TVD, MUSCL, and WENO are robust but time-consuming methods that often give excessively dissipative solutions. On the other hand, although central difference schemes are non-dissipative and are efficient with respect to computing time, they need artificial dissipations for numerical stability and shock- capturing capability. To compensate for the flaws in these two types of schemes, Yee et al. proposed a high-order scheme (hereafter referred to as the "Yee-scheme"), composed of a central flux and a filter obtained from the shock capturing schemes. The Yee-scheme is able to reduce both the numerical dissipation and the computing time for shock-capturing schemes, and the filters play a major role in providing stability and flow feature capturing ability. The main objectives of this work are to investigate the performance of the filters and to propose a new WENO filter, which is derived by splitting the WENO scheme into a weighted central flux part and a numerical dissipation part. Through several un-steady flow analyses such as a convecting vortex, shock/turbulence interaction, and mixing layer/shock interaction, we show the characteristics of the filters and validate the proposed WENO filter by proving that it can be used as an efficient filter for unsteady calculations.
Publisher
AIAA
Issue Date
2004-06
Language
English
Citation

AIAA fluid dynamics conference, pp.2705

DOI
10.2514/6.2004-2705
URI
http://hdl.handle.net/10203/143133
Appears in Collection
AE-Conference Papers(학술회의논문)
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