Applied Mathematics and Mechanics

, Volume 32, Issue 12, pp 1565–1576 | Cite as

Rotor wake capture improvement based on high-order spatially accurate schemes and chimera grids

  • Li Xu (徐 丽)Email author
  • Pei-fen Weng (翁培奋)


A high-order upwind scheme has been developed to capture the vortex wake of a helicopter rotor in the hover based on chimera grids. In this paper, an improved fifth-order weighted essentially non-oscillatory (WENO) scheme is adopted to interpolate the higher-order left and right states across a cell interface with the Roe Riemann solver updating inviscid flux, and is compared with the monotone upwind scheme for scalar conservation laws (MUSCL). For profitably capturing the wake and enforcing the period boundary condition, the computation regions of flows are discretized by using the structured chimera grids composed of a fine rotor grid and a cylindrical background grid. In the background grid, the mesh cells located in the wake regions are refined after the solution reaches the approximate convergence. Considering the interpolation characteristic of the WENO scheme, three layers of the hole boundary and the interpolation boundary are searched. The performance of the schemes is investigated in a transonic flow and a subsonic flow around the hovering rotor. The results reveal that the present approach has great capabilities in capturing the vortex wake with high resolution, and the WENO scheme has much lower numerical dissipation in comparison with the MUSCL scheme.

Key words

hovering rotor vortex wake Navier-Stokes equation chimera grid weighted essentially non-oscillatory (WENO) scheme 

Chinese Library Classification


2010 Mathematics Subject Classification

76M12 76N15 


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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.School of Mathematics and PhysicsShanghai University of Electric PowerShanghaiP. R. China
  2. 2.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiP. R. China

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