Volume 30 Issue 9
Sep.  2015
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LIU Chao-yang, WANG Zhen-guo, SUN Ming-bo, WANG Hong-bo. Comparison and analysis of WENO schemes base on supersonic boundary layer transition[J]. Journal of Aerospace Power, 2015, 30(9): 2189-2195. doi: 10.13224/j.cnki.jasp.2015.09.018
Citation: LIU Chao-yang, WANG Zhen-guo, SUN Ming-bo, WANG Hong-bo. Comparison and analysis of WENO schemes base on supersonic boundary layer transition[J]. Journal of Aerospace Power, 2015, 30(9): 2189-2195. doi: 10.13224/j.cnki.jasp.2015.09.018

Comparison and analysis of WENO schemes base on supersonic boundary layer transition

doi: 10.13224/j.cnki.jasp.2015.09.018
  • Received Date: 2014-03-17
  • Publish Date: 2015-09-28
  • Large eddy simulations of the transition process in a supersonic flat-plate boundary layer at free-stream Mach number of 4.5 and Reynolds number of 10000 were carried out using high precision weighted essentially non-oscillation (WENO) schemes. The inviscid flux was discretized by fifth-order, seventh-order, ninth-order WENO schemes separately and the viscous flux was discretized by fourth-order center difference scheme. The temporal discretization was made by means of third-order Runge-Kutta with total variation diminishing(TVD). By imposing a pair of the most unstable oblique first-mode disturbances on the inflow boundary, the transition progress of the flow from laminar, transition process to full turbulence was compared using three WENO schemes. Results indicate that the fifth-order WENO scheme is more dissipative than the seventh-order and ninth-order schemes, so it's difficult to capture eddy and pulse in the flow field. The dissipation of ninth-order WENO scheme is small, enabling to capture smaller eddy and high frequency. To study a problem with high frequency fluctuation or capture fine eddy, it's advisable to use the scheme higher than seventh-order.

     

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