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Multi-Dimensional Limiting Process for Two-Dimensional Compressible Flows

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Authors
Koo, Heeseok; Yoon, Sung-Hwan; Kim, Chongam; Kim, Kyu-Hong
Issue Date
2006-03
Publisher
한국산업응용수학회 = Korean Society for Industiral and Applied Mathematics (KSIAM)
Citation
Journal of the KSIAM, 10(1), 11-33, 2006
Keywords
Multi-dimensional limiting functionMulti-dimensional limiting process(MLP)Multi-dimensional flowsEntropy conditionHigher order spatial accuracy
Abstract
Through the analysis of conventional TVD limiters, a new multi-dimensional limiting function is derived for an oscillation control in multi-dimensional flows. And, Multi-dimensional Limiting Process (MLP) is developed with the multi-dimensional limiting function. The major advantage of MLP is to prevent oscillations across a multi-dimensional discontinuity, and it is readily compatible with more than 3rd order spatial interpolation. Moreover, compared with other higher order interpolation schemes such as ENO-type schemes, MLP shows a good convergence characteristic in a steady problem and it is very simple to be implemented. In the present paper, 3rd and 5th order interpolation schemes with MLP, named MLP3 and MLP5, are developed and tested for several real applications, and it is verified that MLP combined with M-AUSMPW+ numerical flux substantially improves accuracy, efficiency and robustness both in continuous and discontinuous flows.
Language
English
URI
http://uci.or.kr/G300-jX1004807.v1n1p11

http://hdl.handle.net/10371/6943
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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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