High order conservative differencing for viscous terms and the application to vortex-induced vibration flows

Yiqing Shen, Gecheng Zha, Xiangying Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations

Abstract

A set of conservative 4th-order central differencing schemes for the viscous terms of Navier-Stokes equations are proved in this paper. These schemes are used with the 5th order WENO schemes for inviscid flux. The stencil width of the central differencing scheme is within that of the WENO scheme. The algorithm is used to simulate the vortex-induced oscillations of an elastically mounted circular cylinder. The numerical results agree favorably with the experiment.

Original languageEnglish (US)
Title of host publication38th AIAA Fluid Dynamics Conference and Exhibit
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781563479427
DOIs
StatePublished - 2008

Publication series

Name38th AIAA Fluid Dynamics Conference and Exhibit

ASJC Scopus subject areas

  • Engineering(all)

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    Shen, Y., Zha, G., & Chen, X. (2008). High order conservative differencing for viscous terms and the application to vortex-induced vibration flows. In 38th AIAA Fluid Dynamics Conference and Exhibit [2008-4059] (38th AIAA Fluid Dynamics Conference and Exhibit). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2008-4059