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A high-order adaptive numerical method for recirculating flows at large Reynolds number

Authors
Journal
Journal of Computational and Applied Mathematics
0377-0427
Publisher
Elsevier
Publication Date
Volume
108
Identifiers
DOI: 10.1016/s0377-0427(99)00101-6
Keywords
  • Adaptive Method
  • Navier–Stokes Equation
  • Stream Function
  • Vorticity
Disciplines
  • Computer Science

Abstract

Abstract A numerical method is constructed for two-dimensional Navier–Stokes flows in a circular domain. Adaptive computational grids are employed to resolve the boundary layer and the boundary vorticity values are obtained in high order of accuracy. Numerical results show a quite good agreement with the asymptotic expansion calculation (Kim, SIAM J. Appl. Math. 58(5) (1998) 1394–1413). Extension to general shape domains is briefly addressed.

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