Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/18560
Title: An upwind compact approach with group velocity control for compressible flow fields
Authors: Zhu, Q
Li, Y 
Keywords: Compressible flow fields
Group velocity control
Non-physical oscillations
Shock capture technique
TVB property
Upwind compact finite difference method
Issue Date: 2004
Publisher: John Wiley & Sons Ltd
Source: International journal for numerical methods in fluids, 2004, v. 44, no. 5, p. 463-482 How to cite?
Journal: International Journal for Numerical Methods in Fluids 
Abstract: In this paper we construct an upwind compact finite difference scheme with group velocity control for better simulation of compressible flow fields. Compared with traditional difference schemes, compact schemes have higher accuracy for the same stencil width. By means of the characteristic analysis of the operators, the group velocity of wave packets will be controlled to suppress the non-physical oscillations in numerical solutions. In numerical simulation of the 3D compressible flow fields the third-order accurate upwind compact operator is used to approximate the derivatives in the convection terms of the compressible N-S equations, the traditional finite difference scheme is used to approximate the viscous terms. Numerical solutions indicate that the method is satisfactory.
URI: http://hdl.handle.net/10397/18560
ISSN: 0271-2091
DOI: 10.1002/fld.647
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