期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 199, 期 37-40, 页码 2544-2558出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.04.007
关键词
High-order methods; Shock detection; Moving Least Squares; Slope limiters; Unstructured grids
资金
- Ministerio de Educacion y Ciencia of the Spanish Government [DPI2007-61214, DP12009-14546-C02-01]
- FEDER
- Secretaria Xeral de I+D of the Xunta de Galicia [PGDIT09M-DS00718PR, PGDIT09REM005118PR]
This paper presents a shock detection technique based on Moving Least Squares reproducing kernel approximations The multiresolution properties of these kinds of approximations allow us to define a wavelet function to act as a smoothness indicator. This MLS sensor is used to detect the shock waves When the MLS sensor is used in a finite volume framework in combination with slope limiters, it improves the results obtained with the single application of a slope-limiter algorithm The slope-limiter algorithm is activated only at points where the MLS sensor detects a shock This procedure results in a decrease of the artificial dissipation introduced by the whole numerical scheme. Thus, this new MLS sensor extends the application of slope limiters to higher-order methods Moreover, as Moving Least Squares approximations can handle scattered data accurately, the use of the proposed methodology on unstructured grids is straightforward The results are very promising, and comparable to those of essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes. Another advantage of the proposed methodology is its multidimensional character, that results in a very accurate detection of the shock position in multidimensional flows. (C) 2010 Elsevier B.V All rights reserved
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