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

نویسندگان

  • Yiqing Shen
  • Gecheng Zha
  • Xiangying Chen
چکیده

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.

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عنوان ژورنال:
  • J. Comput. Physics

دوره 228  شماره 

صفحات  -

تاریخ انتشار 2009