Direct numerical simulation and the theory of receptivity in a hypersonic boundary layer

Anatoli Tumin, Xiaowen Xiaolin, Xiaolin Zhong

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


Direct numerical simulation of receptivity in a boundary layer over a sharp wedge of half-angle 5.3 degrees is carried out with two-dimensional perturbations introduced into the flow by periodic-in-time blowing-suction through a slot. The freestream Mach number is equal to 8. The perturbation flow field downstream from the slot is decomposed into normal modes with the help of the biorthogonal eigenfunction system. Filtered-out amplitudes of two discrete normal modes and of the fast acoustic modes are compared with the linear receptivity problem solution. The examples illustrate how the multimode decomposition technique may serve as a tool for gaining insight into computational results.

Original languageEnglish (US)
Article number014101
JournalPhysics of Fluids
Issue number1
StatePublished - Jan 2007


  • Acoustic waves
  • Boundary layers
  • Eigenvalues and eigenfunctions
  • External flows
  • Flow instability
  • Flow simulation
  • Hypersonic flow
  • Mach number
  • Numerical analysis

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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