Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 199, Issue 23-24, Pages 1471-1490Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2009.12.015
Keywords
High-order methods; Moving Least Squares; Dispersion and dissipation characteristics
Funding
- Ministerio de Educacion y Ciencia of the Spanish Government [DPI2007-61214, DPI2009-14546-C02-01]
- FEDER
- Xunta de Galicia [PGDIT09MDS00718PR, PGDIT09REM005118PR]
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In this work we study the dispersion and dissipation characteristics of a higher-order finite volume method based on Moving Least Squares approximations (FV-MLS), and we analyze the influence of the kernel parameters on the properties of the scheme. Several numerical examples are included. The results clearly show a significant improvement of dispersion and dissipation properties of the numerical method if the third-order FV-MLS scheme is used compared with the second-order one. Moreover, with the explicit fourth-order Runge-Kutta scheme the dispersion error is lower than with the third-order Runge-Kutta scheme, whereas the dissipation error is similar for both time-integration schemes. It is also shown than a CFL number lower than 0.8 is required to avoid an unacceptable dispersion error. (C) 2009 Elsevier B.V. All rights reserved.
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