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Accurate, Efficient and Monotonic Numerical Methods for Multi-dimensional Compressible Flows. Part I : Spatial Discretization

Cited 47 time in Web of Science Cited 83 time in Scopus
Authors
Kim, Kyu Hong; Kim, Chongam
Issue Date
2005-02
Publisher
Elsevier
Citation
J. Comput. Phys. 208, 527 (2005)
Keywords
multi-dimensional flow computationsadvection propertyAUSM-type methodM-AUSMPW+TVD limiting conditionMUSCL
Abstract
The present papers deal with numerical methods toward the accurate and efficient computations of multi-dimensional steady/unsteady compressible flows. In Part I, a new spatial discretization technique is introduced to reduce excessive numerical dissipation in a non-flow-aligned grid system. Through the analysis of TVD limiters, a criterion is proposed to predict cell-interface states accurately both in smooth region and in discontinuous region. According to the criterion, a new way of re-evaluating the cell-interface convective flux in AUSM-type methods is developed. The resultant flux reduces numerical dissipation remarkably in multi-dimensional flows. Also, the monotonicity of AUSM-type methods is achieved by modifying the pressure splitting function directly based on the governing equations and the detection of sonic transition point with respect to a cell-interface. It is noted that the newly formulated AUSM-type flux for Multi-dimensional flows, named M-AUSMPW+, possesses many improved properties in term of accuracy, computational efficiency, monotonicity and grid independency.
Through numerous test cases from contact and shock discontinuities, vortex flow, shock wave/boundary-layer interaction to viscous shock tube problems, M-AUSMPW+ proves to be efficient and about twice more accurate than conventional upwind schemes. The three-dimensional implementation of M-AUSMPW+ is expected to provide accuracy and efficiency improvement furthermore.
ISSN
0021-9991
Language
English
URI
http://hdl.handle.net/10371/6882
DOI
https://doi.org/10.1016/j.jcp.2005.02.021
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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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