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Methods for the Accurate Computations of Hypersonic Flows, I : AUSMPW+ Scheme

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Authors
Kim, Kyu Hong; Kim, Chongam; Rho, Oh-Hyun
Issue Date
2001-11
Publisher
Elsevier
Citation
J. Comput. Phys. 174, 38 (2001)
Keywords
AUSMPW+AUSMPWAUSM+oblique shockaccuracyrobustnessefficiencyhypersonic flowsequilibrium gasnonequilibrium gas
Abstract
In order to overcome some difficulties observed in the computation of hypersonic flows, a robust, accurate and efficient numerical scheme based on AUSM-type splitting is developed. Typical symptoms appearing in the application of AUSM-type schemes for high-speed flows, such as pressure wiggles near a wall and overshoots across a strong shock, are cured by introducing weighting functions based on pressure (AUSMPW). A newly improved version of the AUSMPW scheme, called AUSMPW+, is developed to increase the accuracy and computational efficiency of AUSMPW in capturing an oblique shock without compromising robustness. With a new definition of the numerical speed of sound at a cell interface, capturing an oblique shock is remarkably enhanced, and it can be proved that an unphysical expansion shock is completely excluded. With simple Mach number interpolation functions, AUSMPW+ is efficient to implement. Extensive numerical tests from supersonic frozen flows to hypersonic nonequilibrium flows validate that the AUSMPW+ scheme provides accurate solutions for the computation of high-speed flows.
ISSN
0021-9991
Language
English
URI
http://hdl.handle.net/10371/6855
DOI
https://doi.org/10.1006/jcph.2001.6873
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Mechanical Aerospace Engineering (기계항공공학부)Journal Papers (저널논문_기계항공공학부)
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